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QUESTIONS Instructions: An independent...

QUESTIONS

Instructions: An independent t-test compares the mean values of two groups. In this assignment, you will review the SPSS output for an independent t-test and use it to answer questions about the means of the two groups.

Review the SPSS output file which reports the results of the independent t-test to compare the mean price per 6-pack for regular vs. reduced calorie brands of wheat beer.

Answer the following questions based on your observations of the SPSS output file:

Drinks.sav PSY845.R.Output for Mod 4 exercises.docx PSY845.R.SPSS Data Set Legend.docx (I sent them as attachments).

1. Is the F-value for Levene's Test for Equality of Variances significant (that is, is the p < .05)? What is the exact significance level? Note: if the Levene's Test for Equality of Variances is significant, then equal variances cannot be assumed.

2. Which t-value should you use now that you know whether or not equal variances can be assumed? What is that t-value?

3. What is the two-tailed significance level for that t-value? State the exact significance value. Report the results of the t-test as follows: t(df value) = ___, and p-value.

4. Is there a statistically significant difference between the price per 6-pack of regular beers versus reduced calorie beers?

Section B

1. What do researchers learn about a normal distribution from knowledge of the standard deviation? A sample of n=20 has a mean of M = 40. If the standard deviation iss=5, would a score of X= 55 be considered an extreme value? Why or why not?

2. Define the term standard error. Why is the standard error important in research using sample distributions? Consider the following scenario: A random sample obtained from a population has a mean of µ=100 and a standard deviation of σ = 20. The error between the sample mean and the population mean for a sample of n = 16 is 5 points and the error between a sample men and population mean for a sample of n =100 is 2 points. Explain the difference in the standard error for the two samples.

Instructions: An independent t-test compares the mean values of two groups. In this assignment, you will review the SPSS output for an independent t-test and use it to answer questions about the means of the two groups.

Review the SPSS output file which reports the results of the independent t-test to compare the mean price per 6-pack for regular vs. reduced calorie brands of wheat beer.

Answer the following questions based on your observations of the SPSS output file:

Drinks.sav PSY845.R.Output for Mod 4 exercises.docx PSY845.R.SPSS Data Set Legend.docx (I sent them as attachments).

1. Is the F-value for Levene's Test for Equality of Variances significant (that is, is the p < .05)? What is the exact significance level? Note: if the Levene's Test for Equality of Variances is significant, then equal variances cannot be assumed.

2. Which t-value should you use now that you know whether or not equal variances can be assumed? What is that t-value?

3. What is the two-tailed significance level for that t-value? State the exact significance value. Report the results of the t-test as follows: t(df value) = ___, and p-value.

4. Is there a statistically significant difference between the price per 6-pack of regular beers versus reduced calorie beers?

Section B

1. What do researchers learn about a normal distribution from knowledge of the standard deviation? A sample of n=20 has a mean of M = 40. If the standard deviation iss=5, would a score of X= 55 be considered an extreme value? Why or why not?

2. Define the term standard error. Why is the standard error important in research using sample distributions? Consider the following scenario: A random sample obtained from a population has a mean of µ=100 and a standard deviation of σ = 20. The error between the sample mean and the population mean for a sample of n = 16 is 5 points and the error between a sample men and population mean for a sample of n =100 is 2 points. Explain the difference in the standard error for the two samples.

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