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A chain of restaurants has historically had a mean wait time of 9 minutes for íts customers. Recently, the restaurant added several very popular dis their menu. Due to this, the manager suspects the wait time, u, has increased. He takes a random sample of 44 customers. The mean wait time fo is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: I O

A chain of restaurants has historically had a mean wait time of 9 minutes for íts customers. Recently, the restaurant added several very popular dis their menu. Due to this, the manager suspects the wait time, u, has increased. He takes a random sample of 44 customers. The mean wait time fo is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: I O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, u, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. H,: 1 O<O OSO O=D (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. Zn 05 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 = |x
Transcribed Image Text:A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, u, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 10.4 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H. H,: 1 O<O OSO O=D (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. Zn 05 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 = |x
Lundard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. 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.) 3 -2 -1 2. (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 chain of restaurants O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence
Transcribed Image Text:Lundard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. 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.) 3 -2 -1 2. (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 chain of restaurants O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence
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