A chain of restaurants has historically had a mean wait time of 5 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, μ, has increased. He takes a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 μ X 0° OO 20ם ローロ OO × 5 (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. 0.10 is the value that cuts off an area of 0.10 in the right tail. *-μ ⚫ The test statistic has a normal distribution and the value is given by z=- σ √n Standard Normal Distribution Step 1: Select one-tailed 0.3 or two-tailed. o One-tailed O Two-tailed 0.2 Step 2: Enter the critical value(s). 20.計 (Round to 3 decimal places.) X (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the chain of restaurants. Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 5 minutes. Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait time is now greater than 5 minutes. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 5 minutes. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait time is now greater than 5 minutes. X Submit Assignment
A chain of restaurants has historically had a mean wait time of 5 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, μ, has increased. He takes a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 μ X 0° OO 20ם ローロ OO × 5 (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. 0.10 is the value that cuts off an area of 0.10 in the right tail. *-μ ⚫ The test statistic has a normal distribution and the value is given by z=- σ √n Standard Normal Distribution Step 1: Select one-tailed 0.3 or two-tailed. o One-tailed O Two-tailed 0.2 Step 2: Enter the critical value(s). 20.計 (Round to 3 decimal places.) X (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the chain of restaurants. Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 5 minutes. Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait time is now greater than 5 minutes. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean wait time is now greater than 5 minutes. Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean wait time is now greater than 5 minutes. X Submit Assignment
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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Transcribed Image Text:A chain of restaurants has historically had a mean wait time of 5 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, μ, has increased. He takes
a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard
deviation for the wait times is known to be 1.1 minutes.
Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10
level of significance.
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho: O
H₁:0
μ X 0°
O<O OSO O>O
20ם
ローロ
OO
× 5
(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.
0.10 is the value that cuts off an area of 0.10 in the right tail.
*-μ
⚫ The test statistic has a normal distribution and the value is given by z=-
σ
√n
Standard Normal
Distribution
Step 1: Select one-tailed
0.3
or two-tailed.
o One-tailed
O Two-tailed
0.2
Step 2: Enter the critical
value(s).
20.計
(Round to 3 decimal
places.)
X
(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim
made by the chain of restaurants.
Since the value of the test statistic lies in the rejection region, the null hypothesis is
rejected. So, there is enough evidence to conclude that the mean wait time is now greater
than 5 minutes.
Since the value of the test statistic lies in the rejection region, the null hypothesis is not
rejected. So, there is not enough evidence to conclude that the mean wait time is now
greater than 5 minutes.
Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is
rejected. So, there is enough evidence to conclude that the mean wait time is now greater
than 5 minutes.
Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is
not rejected. So, there is not enough evidence to conclude that the mean wait time is now
greater than 5 minutes.
X
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