H, is less than 11 weeks. In a random sample of 92 knee surgery patients who practiced this new physical therapy, the mean recovery time is 10.4 weeks. Assume that the population standard deviation of recovery times is known to be 2.1 weeks. Is there enough evidence to support the daim that the mean recovery time of patients who practice the new style of physical therapy is less than 11 weeks? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis Hy. Ho: H: | OSO (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. • 70.0s is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z-. Standard Normal Distribution Step 1: Select one-tailed or two-talled. Oee-tailed
H, is less than 11 weeks. In a random sample of 92 knee surgery patients who practiced this new physical therapy, the mean recovery time is 10.4 weeks. Assume that the population standard deviation of recovery times is known to be 2.1 weeks. Is there enough evidence to support the daim that the mean recovery time of patients who practice the new style of physical therapy is less than 11 weeks? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis Hy. Ho: H: | OSO (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. • 70.0s is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z-. Standard Normal Distribution Step 1: Select one-tailed or two-talled. Oee-tailed
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:For a certain knee surgery, a mean recovery time of 11 weeks is typical. With a new style of physical therapy, a researcher claims that the mean recovery time,
H, is less than 11 weeks. In a random sample of 92 knee surgery patients who practiced this new physical therapy, the mean recovery time is 10.4 weeks.
known to be 2,1 weeks.
Assume that the population standard deviation of recovery times
Is there enough evidence to support the claim that the mean recovery time of patients who practice the new style of physical therapy is less than 11 weeks?
Perform a hypothesis test, using the 0.05 level of significance.
(a) State the null hypothesis H, and the alternative hypothesis H,.
OSO
O=0
(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test.
Z00s is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z-
Standard Normal Distribution
Step 1: Select one-tailed or two-talled.
O One-taled
03
Explanation
Check
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Transcribed Image Text:(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test.
• Z0os is the value that cuts off an area of 0.05 in the right tail.
Z0.05
• The test statistic has a normal distribution and the value is given by z=
Standard Normal Distribution
04-
Step 1: Select one-talled or two-talled.
O One-tailed
0.3+
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2-
0.1
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the researcher.
Explanation
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