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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 4.1 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 altenative hypothesis Hj. Hg: 0 Oso H: 0 O=0 ? | the p-value. (b) Perform a Z-test and Here is some information to help you with your Z-test. • The value of the test statistic is given by The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 034 Step 2: Enter the test statistic. (Round to 3 decimal places.) 024 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.)

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 4.1 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 altenative hypothesis Hj. Hg: 0 Oso H: 0 O=0 ? | the p-value. (b) Perform a Z-test and Here is some information to help you with your Z-test. • The value of the test statistic is given by The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 034 Step 2: Enter the test statistic. (Round to 3 decimal places.) 024 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(c) Based on your answer to part (b), choose what the manager can conclude, at the 0.05 level of significance. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 9 minutes. O ince the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait is now greater than 9 minutes. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 9 minutes. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait time is now greater than 9 minutes.
Transcribed Image Text:(c) Based on your answer to part (b), choose what the manager can conclude, at the 0.05 level of significance. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 9 minutes. O ince the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait is now greater than 9 minutes. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 9 minutes. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait time is now greater than 9 minutes.
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 4.1 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 altenative hypothesis Hj. Hg: 0 Oso H: 0 O=0 ? | the p-value. (b) Perform a Z-test and Here is some information to help you with your Z-test. • The value of the test statistic is given by The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 034 Step 2: Enter the test statistic. (Round to 3 decimal places.) 024 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.)
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 4.1 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 altenative hypothesis Hj. Hg: 0 Oso H: 0 O=0 ? | the p-value. (b) Perform a Z-test and Here is some information to help you with your Z-test. • The value of the test statistic is given by The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 034 Step 2: Enter the test statistic. (Round to 3 decimal places.) 024 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.)
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