A public health official is studying differences in drinking habits among students at two different universities. They collect data from a random sample of students from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week. Key data are summarized in the table below: Number of drinks in previous week sample size (n) sample mean sample std. dev. (s) University 1 49 6.70 2.10 University 2 49 5.90 2.10 Use the provided information to perform a two-sample t-test to determine whether the mean number of drinks per week for students at University 1 is not equal to the mean number of drinks per week for students at University 2. Based on the given information, using the appropriate formula and the provided Standard Normal Table (Z table), determine the p-value for this hypothesis test. You will need to calculate the test statistic fırst. Enter the p-value in the space below as a decimal rounded to four decimal places:

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A public health official is studying differences in drinking habits among students at two different
universities. They collect data from a random sample of students from each of the two universities
and ask each student how many alcoholic drinks they consumed in the previous week. Key data are
summarized in the table below:
Number of drinks in previous week
sample size (n)
sample mean
sample std. dev. (s)
University 1
49
6.70
2.10
University 2
49
5.90
2.10
Use the provided information to perform a two-sample t-test to determine whether the mean
number of drinks per week for students at University 1 is not equal to the mean number of drinks per
week for students at University 2.
Based on the given information, using the appropriate formula and the provided Standard Normal Table (Z
table), determine the p-value for this hypothesis test. You will need to calculate the test statistic first. Enter
the p-value in the space below as a decimal rounded to four decimal places:
Transcribed Image Text:A public health official is studying differences in drinking habits among students at two different universities. They collect data from a random sample of students from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week. Key data are summarized in the table below: Number of drinks in previous week sample size (n) sample mean sample std. dev. (s) University 1 49 6.70 2.10 University 2 49 5.90 2.10 Use the provided information to perform a two-sample t-test to determine whether the mean number of drinks per week for students at University 1 is not equal to the mean number of drinks per week for students at University 2. Based on the given information, using the appropriate formula and the provided Standard Normal Table (Z table), determine the p-value for this hypothesis test. You will need to calculate the test statistic first. Enter the p-value in the space below as a decimal rounded to four decimal places:
For all U.S. students nationally who take the SAT, SAT Math scores are normally distributed with an
average score of 500 for all U.S. students and a population standard deviation of 125. A random
sample of 625 students entering Whitmer College had an average SAT Math (SAT-M) score of 508.
The sample data can be used to test the claim that the mean SAT-M score of all Whitmer College students
is different than the national mean SAT-M score.
Based on the given information and using the appropriate formula, calculate the test statistic for this
hypothesis test. Round your answer to two decimal places. Enter the numeric value of the test statistic in
the space below:
Transcribed Image Text:For all U.S. students nationally who take the SAT, SAT Math scores are normally distributed with an average score of 500 for all U.S. students and a population standard deviation of 125. A random sample of 625 students entering Whitmer College had an average SAT Math (SAT-M) score of 508. The sample data can be used to test the claim that the mean SAT-M score of all Whitmer College students is different than the national mean SAT-M score. Based on the given information and using the appropriate formula, calculate the test statistic for this hypothesis test. Round your answer to two decimal places. Enter the numeric value of the test statistic in the space below:
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