5. Answer the following in details and steps. Thanks. a. The length of time it takes to fill an order at a ABC sandwich shop is normally distributed with a mean of 6 minutes and a standard deviation of 2 minute. What is the probability that the average waiting time for a random sample of 100 customers is between 5.6 and 6 minutes?     b. The length of time it takes to fill an order at a DEF sandwich shop is normally distributed with a mean of 5 minutes and a standard deviation of 2 minute. Suppose the probability that the average waiting time for a random sample of customers between 4.75 and 5 minutes is 0.3413. What is the number of customers in the sample?   c. The length of time it takes to fill an order at a XYZ sandwich shop is normally distributed with a mean of 7 minutes. Suppose the probability that the average waiting time for a random sample of 36 customers between 6.8 and 7.2 minutes is 0.383. What is the standard deviation of the waiting time?

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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5. Answer the following in details and steps. Thanks.

a. The length of time it takes to fill an order at a ABC sandwich shop is normally distributed with a mean of 6 minutes and a standard deviation of 2 minute. What is the probability that the average waiting time for a random sample of 100 customers is between 5.6 and 6 minutes?

 

 

b. The length of time it takes to fill an order at a DEF sandwich shop is normally distributed with a mean of 5 minutes and a standard deviation of 2 minute. Suppose the probability that the average waiting time for a random sample of customers between 4.75 and 5 minutes is 0.3413. What is the number of customers in the sample?

 

c. The length of time it takes to fill an order at a XYZ sandwich shop is normally distributed with a mean of 7 minutes. Suppose the probability that the average waiting time for a random sample of 36 customers between 6.8 and 7.2 minutes is 0.383. What is the standard deviation of the waiting time?

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