**One Sample T Test Null Hypothesis Example**Full Download

**One Sample T Test Null Hypothesis Example**

**One Sample T Test Null Hypothesis Example**

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Right? Not so fast. What does this really mean? **Example** 2.1 (still) We assume the **null** **hypothesis** when making this **test**. ... A brief history of the **t**-**test** (cont.) Thus ??? When to use the **one**-**sample** **t**-**test** **Example** ... Significance Accepting the **null** hypthosis The **One**-**Sample** **t**-**Test** ...

(**Null** **Hypothesis**) REJECT The **Sample** Mean Is 20 **Sample** **Null** **Hypothesis** **Hypothesis** Testing Process No, ... Do not reject Ho. _ **t**-**Test**: s Unknown **Example**: **One** Tail **t**-**Test** Does an average box of cereal contain more than 368 grams of cereal? A random **sample** of 36 boxes showed X = 372.5, and s= 15.

Agenda **Hypothesis** Testing Decisions **t** tests ANOVA chi square **One** **Sample** **t** **Test** **Null** **Hypothesis** for Two **Sample** **t** ... ANOVA **Example** Computation ANOVA **Example** Computation ANOVA **Example** Computation ANOVA **Example** Computation ANOVA **Example** Computation Agenda **Hypothesis** Testing Decisions **t** ...

Chapter 7 **Hypothesis** Testing with **One** **Sample** * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * **Hypothesis** **Test** for Variance **Example**: A local balloon company claims that the variance for the time its helium balloons will stay afloat is 5 hours.

... **One**-**sample** **t**-**test** **One**-**sample** **t**-**test** **Example** **One**-**sample** **t**-**test** **Example** Second **Example** Mean height = 66 in. (hypoth ... This tells you where to look for critical values in tables (like z, **t** and F). 2. State hypotheses. For the **one**-**sample** **t**-**test**, the **null** **hypothesis** is The alternative or ...

**One** **Sample** : **t** **Test** A **null** **hypothesis** may be rejected, but it can never be accepted based on a single **test**. In marketing research, ... Formulate the **Hypothesis** **Example** of a **Hypothesis** **Test** **One** **Sample** : **t** **Test** Step 1: Formulate the **Hypothesis** Step 1: ...

... **one** **sample** Picture We can see that the assumption of normality of the differences is reasonable in this case Paired **t**-**test** **Null** **hypothesis**: ... on physician Confidence interval Confidence interval for paired **t**-**test** constructed in the same way as **one**-**sample** **t**-**test** For our **example**, ...

(**Null** **Hypothesis**) REJECT The **Sample** Mean Is 20 **Sample** **Null** **Hypothesis** **Hypothesis** Testing Process ... the Hypothesized mean (368), we do not reject the **null** **hypothesis**. It does. Do not reject. _ **t**-**Test**: s Unknown **Example**: **One** Tail **t**-**Test** Does an average box of cereal contain more than 368 ...

Paired **t**- **test** - **Example** ... The aim is to **test** the **null** **hypothesis** that the ... 25 29 4 19 19 31 32 1 20 20 29 32 3 **One** **sample** **t**-**test** for the improvement **T**-**Test** of the Mean **Test** of mu = 0 .000 vs mu > 0.000 Variable N Mean StDev SE Mean **T** P improvem 20 1.450 ...

**Hypothesis** Testing I, The **One**-**Sample** Case ... our decision will be to reject the **null** **hypothesis** If the **test** statistic does not fall in the ... you use a **one**-tailed **test** **Example**, your research **hypothesis** states that you believe that sex education classes will reduce the number of ...

... 1 df = 22 tcritical = 2.508 Step Four Step Four Step Five We fail to reject the **null** **hypothesis**. **One** **Sample** **Hypothesis** **Test** We know that all high school seniors ... **Example**: If the **null** **hypothesis** were true that seniors from private schools applied to the same number of colleges ...

Single **sample** **t**. **One** **sample**, compared with . known. population mean. ... – 1 (for a Single-**Sample** . **t** . **Test**) **Example**: ... Fail to reject **null** **hypothesis**. Men and women find cartoons equally humorous, **t** (7) = .03, p > .05. Summary. Author:

Testing Statistical **Hypothesis** The **One** **Sample** **t**-**Test** ... **One**-**Sample** Statistics **One**-**Sample** **Test** * * * * * An **example** of a report in a paper. ... The **null** **hypothesis** that the **sample** mean is the same as the mean of the population can be rejected when **t**-values exceed the critical **t**-value.

... Select an Appropriate **Test** The **test** statistic measures how close the **sample** has come to the **null** **hypothesis**. The **test** statistic often ... **example** (Table 15.1), a paired **t** **test** could be used to determine ... Z **test** * Paired **t** **test** **Hypothesis** Tests **One** **Sample** Two or More ...

**Hypothesis** testing Define **null** **hypothesis** (H0) Does direction matter? Choose **test** ... of not exceeding some criterion Examples The alternate **hypothesis** Written HA Is the logical complement of H0 Examples **One**- and two-sided tests **One**-sided **test**: ... the **t**-**test** Compare **sample** mean to fixed ...

... click on “Analyze” Select “Compare Means” Select “**One** **Sample** **T** **Test**” **Hypothesis** testing in SPSS ... on OPTIONS to choose the confidence level Output **T**-**Test** p value The **null** **hypothesis** is not ... μ = 7.2 days per year **Example** **Example** The **sample** outcome (-3.15) falls ...

**Hypothesis** Tests **One** **Sample** Means ... perform a **t**-**test** using the differences **Example** 2: ... **Null** **hypothesis** – is the statement being tested; this is a statement of “no effect” or “no difference” Alternative **hypothesis** ...

Independent Samples **t**-**Test** (or 2-**Sample** **t**-**Test**) Advanced ... In other words, the **null** **hypothesis** is: Ho: wt. gain pizza diet =wt. gain beer diet. **Example** 3.1 (cont.) Why? The **null** **hypothesis** is the opposite of ... these “samples” are “independent” of **one** another; giving rise to ...

The number of two-**sample** tests that can be formed from ... non-pairwise To preceded these tests with a **test** of the omnibus **null** **hypothesis** is unnecessary **Test** statistic is ... The **Sample** Grand Mean The Population Effect The Error Effect **Example**: Suppose I was **one** of 40 people taking ...

**One** **sample** **t**-**test**: Compare a **sample** ... based on Reject the **null** **hypothesis** if your observed **t** value falls in critical region (|**t** observed| > |**t** critical|) ... Note on **t**-table Another note **Example** (cont.) 1-**sample** **t** **test** in SPSS ...

... obtaining the critical value **Example**: Concentration of benzene in cigars **Hypothesis** **Test**: 2-sided **test** **Null** ... (for **example**: you might ... 20.6)= 8.513e-07. While tprob will give you P(|**T**| ≥ **t**) directly: display tprob(6,20.6) 8.513e-07 STATA: running **one**-**sample** **t**-**test** from ...

**One**-**sample** In the previous ... we are testing the value for no difference (most of the time) So, if the **null** **hypothesis** is true… **t** **test** Degrees of freedom Across the 2 ... Samples are randomly drawn from their respective populations and are independent of **one** another **Example** **t**-**test** Compare two ...

Is there a difference between MN & WI in the proportion who eat cheese every day? **Null** **Hypothesis** (Ho) ... Applying the 2-**Sample** **t** Formula **Example**: Research **Hypothesis** (H1): Soc. majors at UMD drink more beers per month ... Use a 1 or 2-tailed **test**? **One**-tailed **test** because the theory predicts ...

... Birth weight **Example** -- Continued Obtain a random **sample** of women who are ... If is known, use a **One**-**Sample** z-**Test** If is unknown, use a **One**-**Sample** **t**-**Test** Steps in **Hypothesis** ... Evaluate the **Null** **Hypothesis** Reject the **null** **hypothesis** If **sample** data is unlikely to have been ...

... for a **one** or two-tailed **test**, you reject the **null** **hypothesis** Saves having ... and Two **Sample** **T**-tests Recap **Example** **test** of a **hypothesis** **Example** **test** of a **hypothesis** **Example** **test** of a **hypothesis** **Example** **test** of a **hypothesis** **Example** **test** of a **hypothesis** **One** and two-tailed tests ...

The **null** **hypothesis** for this **test** states that the proportions (the ... The first version of the chi-square **test** for independence views the data as **one** **sample** in which each ... and with the frequencies written in a series of boxes. Figure 18.4 For **Example** 18.1, the critical region ...

Significance Testing . State a **Null** **Hypothesis** . Calculate the odds of obtaining your **sample** finding if that **null** **hypothesis** is correct . Compare this to the odds that you set ahead of time (e.g., alpha)

... or H0 Usually want to reject the **null** **hypothesis** in favor of some alternative explanation **One**-**Sample** z Tests and **t** Tests For **example**, ... to try another **test** **One**-**Sample** z Tests and **t** Tests The previous **example** illustrates ... the **null** **hypothesis** **One**-**Sample** z Tests and **t** ...

... Tail **Test** **Example** 11.2 AT&**T** has been challenged by competitors who argued that their rates resulted in lower ... Finish Chapter 11 (Section 11.4), Begin Chapter 12 m = 170 Assume the **null** **hypothesis** is true (m= 170). **Sample** from the customer population, and ... **One** tail **test** Conclusion ...

... is the probability that chance variation alone would produce a **test** statistic value as extreme or more extreme than the **one** observed assuming the **null** **hypothesis** is ... be familiar with: **t**-**Test** (both **one**- and two-**sample**) Chi-square ... assuming the **null** is true! **Example** ...

* * * * * “Generic” statistical **test** An **example**: **One** **sample** z-**test** Memory **example** experiment: We give a n = 16 memory patients a memory improvement treatment. ... Make a decision about your **null** **hypothesis** - Reject H0 - Support for our HA, ...

... Inferential Statistical Technique: **t**-**test** **One** or two-tailed? Probably **one** tail **Example** of an Independent **t**-**Test** -- continued **Null** **Hypothesis**: ... SPSS Independent-Samples **t**-**Test** **Sample** Printout SPSS ... two-tailed? Probably **one** tail **Example** of an Independent **t**-**Test** ...

For **example**, if we **test** the **hypothesis** that the amount of medication in a heart pill is ... The two probabilities are inversely related. Decreasing **one** increases the other, for a fixed **sample** size ... The rejection region is set up so we can reject the **null** **hypothesis** when the **test** statistic is ...

If you create a sampling distribution of the difference between the means… Given the **null** **hypothesis**, ... Specify whether the appropriate **t** **test** is for **one** **sample** or two independent samples. ... An **Example** **Hypothesis** Testing The **t** **Test** for Dependent Samples: ...

... otherwise will be given in a problem Defines unlikely values of **sample** statistic if **null** **hypothesis** is true Called rejection region of sampling ... Right or Left -Tailed **t** **Test** Finding Critical **t** Values **One**-Tailed **t** **Test** **Example** **One**-Tailed **t** **Test** Solution **One**-Tailed **t** ...

... Simple Random **Sample** Normal population or “large **sample**” **Hypothesis** Statements **Null** **hypothesis** H0: ... **One**-**Sample** **t** **Test** **Hypothesis** Statements **Example** **One**-**Sample** **t** **Test** Statistic **Example** (Data) ...

... Assumption of normality Logic for **one**-**sample** **t**-**test**: Decision about **null** **hypothesis** Power Analysis: ... Assumption of normality Logic for **one**-**sample** **t**-**test**: Decision about **null** **hypothesis** Power Analysis: ...

... Tail **Test** **Example** 11.2 - continued A random **sample** of 100 customers is selected and customers’ bills recalculated using a leading competitor’s rates ... Reject the **null** **hypothesis** if A Left -Tail **Test** The SSA envelop **example** ... **One** tail **test** Conclusion Since Z = 2.46 > 1.645, ...

**Hypothesis** Testing **Example** - Efficacy **Test** for New drug Drug company has new drug, ... Quantity based on **sample** data and **null** **hypothesis** used to **test** between **null** and alternative hypotheses Rejection region ...

Steps in **Hypothesis** Testing The **Null** **Hypothesis** **Null** **hypothesis** says “no difference, nothing special or interesting, no change….” It specifies a precise value IN THE POPULATION against which we **test** our **sample** outcome.

The “**null** **hypothesis** ... size by 1.1 40 50 60 70 40 50 60 70 40 60 70 50 Population * **Hypothesis** Testing Roadmap Normal **Test** of Equal Variance 1 **Sample** **t**-**test** 1 **Sample** Variance Variance Not Equal Variance Equal 2 **Sample** **T** **One** Way ANOVA 2 **Sample** **T** **One** Way ANOVA Continuous Data * **Hypothesis** ...

You should consider using a confidence interval whenever a **hypothesis** **test** leads you to reject the **null** **hypothesis**, ... The **t** **Test** for a Single **Sample**: **Example** The **t** **Test** for a Single **Sample**: ... Specify whether the appropriate **t** **test** is for **one** **sample** or two independent samples.

... and we reject the **null** **hypothesis**. Therefore, we can conclude ... **One**-**sample** **T**-**test** in SAS We want to **test** whether a new ... ”), implying the treatment is significantly worse than the control. PROC TTEST DATA = relieftime h0=100; TITLE '**One**-**sample** **T**-**test** **example**‘ ; VAR relief ...

**One** **Sample** Exercise (1) Set alpha. = .05 State hypotheses. **Null** **hypothesis** is H0: = 1000 ... Compare Means, **One**-**Sample** **T** **Test**. Select ltbulb and put it in the **Test** Variables box. Type 1000 ... Dependent Samples **t** **Example** (3) Using SPSS for dependent **t**-**test** Dependent **t** ...

Table **example** **t**-distribution see next slide Also compare it with z distribution ... 1 In two **sample** **t**-**test**, it’s N (total **sample** numbers)-2. ... Analysis Descriptive Measure of Central Tendency Measure of Dispersion Inferential We will **test** H0 (**null** **hypothesis**) ...

* * * * * * * * * * * * * * 10-* Testing for a Population Mean with an Unknown Population Standard Deviation- **Example** Step 1: State the **null** **hypothesis** and the ... Reject H0 if **t** < -**t** ,n-1 In class practice **One**-**sample** **t**-**test** Analyze compare means **one** **sample** **t**-**test** Use 1991 ...

... REJECT Take a **Sample** **Null** **Hypothesis** No, not likely! Sampling Distribution of = 50 It is unlikely that we would get a **sample** mean of this value ... m > m0 Z Must Be Significantly Below 0 to reject H0 Small values of Z don’**t** contradict H0 Don’**t** Reject H0 ! **Example**: **One** Tail **Test** Q.

**Hypothesis** Testing: **Example** Set up the **null** and alternative ... degrees of freedom. For the type of **test** we are doing, this is the number of observations in the **sample** minus **one**. DF = n-1 **Hypothesis** Testing with ... We are interested in using this **sample** to **test** the **hypothesis** that the mean ...

Here is the basic logic of the **hypothesis** **test**. Say in our **one** **sample** we get a ... statistic is farther from a **t** of 0 than the critical value is we reject the **null** and go with the alternative in this **example**. ... An equivalent way to **test** an **hypothesis** then is to reject the **null** if the p value ...

**One** **sample** statistical tests, continued… Recall: Single population mean (large n) **Hypothesis** **test**: Confidence Interval Single population mean (small n, normally distributed trait) **Hypothesis** **test**: Confidence Interval What is a **T**-distribution?