A pharmaceutical company operates retail pharmacies in 10 eastern states. Recently, the company's internal audit department selected a random sample of n= 300 prescriptions issued throughout the system. The objective of the sampling was to estimate the average dollar value of all prescriptions issued by the company. The data collected were x = $13.92 and s = 5.00. Complete parts a and b below. a. The 90% confidence interval estimate for the true average sales value for prescriptions issued by the company is from $ to $ (Round to the nearest cent- 2 decimal places. Use ascending order.) You are asked to interpret the meaning of this confidence interval by choosing the correct answer below: O A. There is a 0.90 probability that the true mean prescription amount is between these two values. O B. The company believes with 90% confidence that the sample mean prescription amount is between these two amounts. Oc. The company believes with 90% confidence that the true mean prescription amount is between these two amounts. O D. The company believes that the true mean prescription amount falls between these two values 90% of the time. b. One of its retail outlets recently reported that it had monthly revenue of $7,327 from 537 prescriptions. Are such results to be expected? Should that retail outlet be audited? (Round to the nearest cent as needed.) When the population mean is at the upper limit of the 90% confidence interval computed in part a, the upper limit of the 90% confidence interval for the expected total monthly revenue for 537 prescriptions would be $ When the population mean is at the lower limit of the 90% confidence interval computed in part a, the lower limit of the 90% confidence interval for the expected total monthly revenue for 537 prescriptions would be $ Since this outlet reported sales of $7,327 from 537 prescriptions, there is V reason believe that this is out of line. The retail outlet V be audited. good should Or no or should not

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question

Provide an explanation for each part. 

A pharmaceutical company operates retail pharmacies in 10 eastern states. Recently, the company's internal audit department selected a random sample of n= 300 prescriptions issued throughout the system. The objective of the
sampling was to estimate the average dollar value of all prescriptions issued by the company. The data collected were x = $13.92 and s = 5.00. Complete parts a and b below.
a. The 90% confidence interval estimate for the true average sales value for prescriptions issued by the company is from $
to
(Round to the nearest cent- 2 decimal places. Use ascending order.)
You are asked to interpret the meaning of this confidence interval by choosing the correct answer below:
O A. There is a 0.90 probability that the true mean prescription amount is between these two values.
B. The company believes with 90% confidence that the sample mean prescription amount is between these two amounts.
C. The company believes with 90% confidence that the true mean prescription amount is between these two amounts.
O D. The company believes that the true mean prescription amount falls between these two values 90% of the time.
b. One of its retail outlets recently reported that it had monthly revenue of $7,327 from 537 prescriptions. Are such results to be expected? Should that retail outlet be audited?
(Round to the nearest cent as needed.)
When the population mean is at the upper limit of the 90% confidence interval computed in part a, the upper limit of the 90% confidence interval for the expected total monthly revenue for 537 prescriptions would be $
When the population mean is at the lower limit of the 90% confidence interval computed in part a, the lower limit of the 90% confidence interval for the expected total monthly revenue for 537 prescriptions would be $
Since this outlet reported sales of $7,327 from 537 prescriptions, there is
reason to believe that this is out of line. The retail outlet
V be audited.
|
good
should
or
no
or
should
not
Transcribed Image Text:A pharmaceutical company operates retail pharmacies in 10 eastern states. Recently, the company's internal audit department selected a random sample of n= 300 prescriptions issued throughout the system. The objective of the sampling was to estimate the average dollar value of all prescriptions issued by the company. The data collected were x = $13.92 and s = 5.00. Complete parts a and b below. a. The 90% confidence interval estimate for the true average sales value for prescriptions issued by the company is from $ to (Round to the nearest cent- 2 decimal places. Use ascending order.) You are asked to interpret the meaning of this confidence interval by choosing the correct answer below: O A. There is a 0.90 probability that the true mean prescription amount is between these two values. B. The company believes with 90% confidence that the sample mean prescription amount is between these two amounts. C. The company believes with 90% confidence that the true mean prescription amount is between these two amounts. O D. The company believes that the true mean prescription amount falls between these two values 90% of the time. b. One of its retail outlets recently reported that it had monthly revenue of $7,327 from 537 prescriptions. Are such results to be expected? Should that retail outlet be audited? (Round to the nearest cent as needed.) When the population mean is at the upper limit of the 90% confidence interval computed in part a, the upper limit of the 90% confidence interval for the expected total monthly revenue for 537 prescriptions would be $ When the population mean is at the lower limit of the 90% confidence interval computed in part a, the lower limit of the 90% confidence interval for the expected total monthly revenue for 537 prescriptions would be $ Since this outlet reported sales of $7,327 from 537 prescriptions, there is reason to believe that this is out of line. The retail outlet V be audited. | good should or no or should not
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Fractions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill