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 0.01. In a sample of 41 students at High School 1, she gets a sample mean of 20.9 minutes and a sample standard deviation of 3.8 minutes. In a sample of 61 students at High School 2, she gets a sample mean of 17.5 minutes and a sample standard deviation of 4.2 minutes. Assume the population variances are equal. (a) What are the null and alternative hypotheses? Ho: 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 for students at High School 2. → the average commute time
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 0.01. In a sample of 41 students at High School 1, she gets a sample mean of 20.9 minutes and a sample standard deviation of 3.8 minutes. In a sample of 61 students at High School 2, she gets a sample mean of 17.5 minutes and a sample standard deviation of 4.2 minutes. Assume the population variances are equal. (a) What are the null and alternative hypotheses? Ho: 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 for students at High School 2. → the average commute time
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question
Q6
Transcribed Image Text: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 0.01. In a sample of 41
students at High School 1, she gets a sample
mean of 20.9 minutes and a sample standard
deviation of 3.8 minutes. In a sample of 61
students at High School 2, she gets a sample
mean of 17.5 minutes and a sample standard
deviation of 4.2 minutes. Assume the population
variances are equal.
(a) What are the null and alternative hypotheses?
Ho: P
♦
HA: P
0
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.
Check
(e) This data provides
sufficient
evidence to conclude that the average commute
time for students at High School 1 is
less than
for students at High School 2.
◆ the average commute time
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