Three restaurant servers are competing for Employee of the Month. The table below shows the number of customers each server waited on either at curbside pickup or counter service. The employee who waits on the most customers will be the Employee of the Month. Do the data in the table provide evidence that Server B is responsible for more than of all the customers at this restaurant? Justify your answer using statistical inference (that is, complete each bullet listed below). Server AServer BServer CTOTALNumber of Curbside Customers21151551Number of Counter Customers395017106TOTAL606532157 Answer each of the bullets below. You may hand write your answer, or type in the space provided. Write the null and alternative hypothesis. Define the parameters used in the hypothesis.Check to make sure the conditions are met to assume a normal distribution.Write the formula for the test statistic that would be used. Use appropriate notation.Evaluate the formula for the test statistic using the appropriate numerical values from the problem. Show all work as well as providing the final test statistic value.Find the p-value. State the conclusion of the hypothesis test in the context of this situation. Write the formula to find a confidence interval for the true proportion of customers Server B is responsible for.Build a 90% confidence interval for the true proportion of customers Server B is responsible for. Interpret the confidence interval in the context of this situation. Based on the results of the hypothesis test and confidence interval, will Server B become Employee of the Month (based on number of customers served)?

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Answered: Three restaurant servers are competing…

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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Three restaurant servers are competing for Employee of the Month. The table below shows the number of customers each server waited on either at curbside pickup or counter service. The employee who waits on the most customers will be the Employee of the Month.

Do the data in the table provide evidence that Server B is responsible for more than of all the customers at this restaurant? Justify your answer using statistical inference (that is, complete each bullet listed below).

	Server A	Server B	Server C	TOTAL
Number of Curbside Customers	21	15	15	51
Number of Counter Customers	39	50	17	106
TOTAL	60	65	32	157

Answer each of the bullets below. You may hand write your answer, or type in the space provided.

Write the null and alternative hypothesis.
Define the parameters used in the hypothesis.
Check to make sure the conditions are met to assume a normal distribution.
Write the formula for the test statistic that would be used. Use appropriate notation.
Evaluate the formula for the test statistic using the appropriate numerical values from the problem. Show all work as well as providing the final test statistic value.
Find the p-value.
State the conclusion of the hypothesis test in the context of this situation.

Write the formula to find a confidence interval for the true proportion of customers Server B is responsible for.
Build a 90% confidence interval for the true proportion of customers Server B is responsible for.
Interpret the confidence interval in the context of this situation.

Based on the results of the hypothesis test and confidence interval, will Server B become Employee of the Month (based on number of customers served)?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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