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A chain of restaurants hes 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 menager suspects the walt time, , hes 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 walt 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. (0) State the null hypothesis H, and the alternative hypothesis H. ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic la given by The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value.

A chain of restaurants hes 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 menager suspects the walt time, , hes 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 walt 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. (0) State the null hypothesis H, and the alternative hypothesis H. ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic la given by The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value.

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, , 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. (0) State the null hypothesis H, and the alternative hypothesis H. (b) Perform a Z-test and find the p-value. 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 Step 1: Select one-tailed or two-tailed. One-tailed O Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1 Step 4: Enter the p-value. (Round to 3 decimal places.) (e) 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 Since 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. 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: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, , 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. (0) State the null hypothesis H, and the alternative hypothesis H. (b) Perform a Z-test and find the p-value. 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 Step 1: Select one-tailed or two-tailed. One-tailed O Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1 Step 4: Enter the p-value. (Round to 3 decimal places.) (e) 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 Since 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. 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.
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