Question

Megan would like to test whether the average commute time is noticeably different for students at two different high schools in her city, using a significance level of 0.02. In a sample of 41 students at High School 1, she gets a sample mean of 20.5 minutes and a sample standard deviation of 3.2 minutes. In a sample of 61 students at High School 2, she gets a sample mean of 16.8 minutes and a sample standard deviation of 4.5 minutes. Assume the population variances are equal. (a) What are the null and alternative hypotheses? H0: p < 0 HA: p = 0 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.01 < p-value < 0.02. (d) Based on the p-value, Megan should reject the null hypothesis. (e) This data provides sufficient evidence to conclude that the average commute time for students at High School 1 is less than the average commute time for students at High School 2.

          Megan would like to test whether the average commute time is noticeably different for students at two different high schools in her city, using a significance level of 0.02. In a sample of 41 students at High School 1, she gets a sample mean of 20.5 minutes and a sample standard deviation of 3.2 minutes. In a sample of 61 students at High School 2, she gets a sample mean of 16.8 minutes and a sample standard deviation of 4.5 minutes. Assume the population variances are equal.

(a) What are the null and alternative hypotheses?
H0: p < 0
HA: p = 0

(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)

(c) Using the statistical table, the p-value is 0.01 < p-value < 0.02.

(d) Based on the p-value, Megan should reject the null hypothesis.

(e) This data provides sufficient evidence to conclude that the average commute time for students at High School 1 is less than the average commute time for students at High School 2.

Megan would like to test whether the average commute time is noticeably different for students at two different high schools in her city, using a significance level of 0.02. In a sample of 41 students at High School 1, she gets a sample mean of 20.5 minutes and a sample standard deviation of 3.2 minutes. In a sample of 61 students at High School 2, she gets a sample mean of 16.8 minutes and a sample standard deviation of 4.5 minutes. Assume the population variances are equal.

(a) What are the null and alternative hypotheses?
H0: p < 0
HA: p = 0

(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)

(c) Using the statistical table, the p-value is 0.01 < p-value < 0.02.

(d) Based on the p-value, Megan should reject the null hypothesis.

(e) This data provides sufficient evidence to conclude that the average commute time for students at High School 1 is less than the average commute time for students at High School 2.

Added by Julian C.

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