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(b) Find the mean and standard deviation of the population of all possible sample means when we assume that equals 6. (Round your answer to 4 decimal places.) |ux = 6, ax = (c) The sample mean that we have actually observed is x = 5.48. Assuming that equals 6, find the probability of observing a sample mean that is less than or equal to x = 5.48. (Round "z-value" to 2 decimals and final answer to 4 decimal places.) P(x < 5.48) (d) If u equals 6, what percentage of all possible sample means are less than or equal to 5.48? What do you conclude about whether the new system has reduced the typical customer waiting time to less than 6 minutes? (Round your answer to 2 decimal places.) %; conclude that u is less than 6.

(b) Find the mean and standard deviation of the population of all possible sample means when we assume that equals 6. (Round your answer to 4 decimal places.) |ux = 6, ax = (c) The sample mean that we have actually observed is x = 5.48. Assuming that equals 6, find the probability of observing a sample mean that is less than or equal to x = 5.48. (Round "z-value" to 2 decimals and final answer to 4 decimal places.) P(x < 5.48) (d) If u equals 6, what percentage of all possible sample means are less than or equal to 5.48? What do you conclude about whether the new system has reduced the typical customer waiting time to less than 6 minutes? (Round your answer to 2 decimal places.) %; conclude that u is less than 6.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The bank manager wants to show that the new system reduces typical customer waiting times to less than 6 minutes. One way to do this is to demonstrate that the mean of the population of all customer waiting times is less than 6. Letting this mean be μ, in this exercise we wish to investigate whether the sample of 93 waiting times provides evidence to support the claim that is less than 6. For the sake of argument, we will begin by assuming that u equals 6, and we will then attempt to use the sample to contradict this assumption in favor of the conclusion that is less than 6. Recall that the mean of the sample of 93 waiting times is x = 5.48 and assume that σ, the standard deviation of the population of all customer waiting times, is known to be 2.24. (a) Consider the population of all possible sample means obtained from random samples of 93 waiting times. What is the shape of this population of sample means? That is, what is the shape of the sampling distribution of x ? Normal because the sample is (b) Find the mean and standard deviation of the population of all possible sample means when we assume that u equals 6. (Round your answer to 4 decimal places.) μX = 6, ax = large (c) The sample mean that we have actually observed is = 5.48. Assuming that equals 6, find the probability of observing a sample mean that is less than or equal to x = 5.48. (Round "z-value" to 2 decimals and final answer to 4 decimal places.) P(x < 5.48) (d) If μ equals 6, what percentage of all possible sample means are less than or equal to 5.48? What do you conclude about whether the new system has reduced the typical customer waiting time to less than 6 minutes? (Round your answer to 2 decimal places.) %; conclude that u is less than 6.
Transcribed Image Text:The bank manager wants to show that the new system reduces typical customer waiting times to less than 6 minutes. One way to do this is to demonstrate that the mean of the population of all customer waiting times is less than 6. Letting this mean be μ, in this exercise we wish to investigate whether the sample of 93 waiting times provides evidence to support the claim that is less than 6. For the sake of argument, we will begin by assuming that u equals 6, and we will then attempt to use the sample to contradict this assumption in favor of the conclusion that is less than 6. Recall that the mean of the sample of 93 waiting times is x = 5.48 and assume that σ, the standard deviation of the population of all customer waiting times, is known to be 2.24. (a) Consider the population of all possible sample means obtained from random samples of 93 waiting times. What is the shape of this population of sample means? That is, what is the shape of the sampling distribution of x ? Normal because the sample is (b) Find the mean and standard deviation of the population of all possible sample means when we assume that u equals 6. (Round your answer to 4 decimal places.) μX = 6, ax = large (c) The sample mean that we have actually observed is = 5.48. Assuming that equals 6, find the probability of observing a sample mean that is less than or equal to x = 5.48. (Round "z-value" to 2 decimals and final answer to 4 decimal places.) P(x < 5.48) (d) If μ equals 6, what percentage of all possible sample means are less than or equal to 5.48? What do you conclude about whether the new system has reduced the typical customer waiting time to less than 6 minutes? (Round your answer to 2 decimal places.) %; conclude that u is less than 6.
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