Question

In: Statistics and Probability

A) A company that owns a large number of grocery stores claims that customers who pay...

A) A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.

What is the probability that a customer using a check spends less than $90?

Express your answer as a decimal rounded to four places after the decimal point.

B)

A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.

What is the probability that a customer using a check spends between $80 and $85?

Express your answer as a decimal rounded to four places after the decimal point.

C)

A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.

The top 10% of customers using a check pay _____________ or more for groceries.

Round your answer to 2 decimal places.

D)

A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.

The most frugal 20% of customers pay ___________ or less for groceries.

Round your answer to the nearest hundredth.

Solutions

Expert Solution


Related Solutions

Suppose data were collected on the number of customers that frequented a grocery stores on randomly...
Suppose data were collected on the number of customers that frequented a grocery stores on randomly selected days before and after the governor of the state declared a lock down due to COVID 19. A sample of 6 days before the lockdown were chosen as well as 6 days randomly chosen after the lock down was in place. The number of shoppers each day were as follows: Before lock down After lock down 100 60 110 50 115 70 120...
Suppose data were collected on the number of customers that frequented a grocery stores on randomly...
Suppose data were collected on the number of customers that frequented a grocery stores on randomly selected days before and after the governor of the state declared a lock down due to COVID 19. A sample of 6 days before the lockdown were chosen as well as 6 days randomly chosen after the lock down was in place. The number of shoppers each day were as follows: Before lock down After lock down 100 60 110 50 115 70 120...
Customers of a large grocery chain who are members of the chain's incentives program spend an...
Customers of a large grocery chain who are members of the chain's incentives program spend an average of $45 per visit to the grocery. In an attempt to try and increase the amount spent by these regular customers at their stores, the chain institutes a new feature of the incentives program where customers receive an extra 5% discount on groceries when they spend $50 or more. A sample of 100 customers in the program is randomly selected and it is...
A large furniture company claims that 65% of all individuals who buy chairs from its stores...
A large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs. To investigate this claim, researchers collected data from a random sample of the company's customers. The results were 305 wood, 121 plastic, and 74 metal. Are the data from the sample consistent with the company's claim? Conduct an appropriate statistical test at the 5% significance level to support your conclusion. Make sure...
A large furniture company claims that 65% of all individuals who buy chairs from its stores...
A large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs. To investigate this claim, researchers collected data from a random sample of the company's customers. The results were 305 wood, 121 plastic, and 74 metal. Are the data from the sample consistent with the company's claim? Conduct an appropriate statistical test at the 5% significance level to support your conclusion. Make sure...
1. A grocery store counts the number of customers who arrive during an hour. The average...
1. A grocery store counts the number of customers who arrive during an hour. The average over a year is 29 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals. Find the probability that at least two customers arrive in a particular 2 minute period. 2. Label each as one of the following...
Supermarkets have limited the number of customers who are in their stores at any one time....
Supermarkets have limited the number of customers who are in their stores at any one time. At one particular store, store managers decide that 100 customers at one time is necessary to ensure social distancing guidelines mandated by the government. One store manger suspects that the number of customers is more than 100 so he counts the number of customers for a week at different times of the day and on different days of the week. Here are the numbers:...
A large food distributor claims that 45% of all individuals who purchase eggs from its grocery...
A large food distributor claims that 45% of all individuals who purchase eggs from its grocery stores choose standard white eggs, 25% choose standard brown eggs, 20% choose organic eggs, and 10% choose free-range eggs. To investigate this claim, researchers collected data from a random sample of the distributor's customers in a large city. The results were 274 white, 159 brown, 126 organic, and 41 free-range egg purchases. Are the data from the sample consistent with the distributor's claim? Conduct...
The Belgian Association of Grocery Stores (BAGS) did a survey of their customers and reported that...
The Belgian Association of Grocery Stores (BAGS) did a survey of their customers and reported that 76% of them read the ingredients listed on the products labels. Assume a sample of 400 customers is selected from the population. Assume that population follows a normal distribution: a) What is the expected value of the sample proportion? b) what is the standard deviation of the sample proportion? c) what is the probability that the sample proportion will be within plus or minus...
A large company which owns several farms sells potatoes grown on these farms. The company claims...
A large company which owns several farms sells potatoes grown on these farms. The company claims that the weights of the potatoes grown on their farms are approximately normally distributed with a mean of 195.6g and a standard deviation of 23.8g. Restaurant A, which buys potatoes from this company, decides to weigh 60 potatoes grown by the company to determine whether the company's claim is true. (A)Assuming the farm's claim is true, describe the sampling distribution of the sample mean...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT