A pharmaceutical company operates retail pharmacies in 10 easten states. Recentlty, 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 = $13.34 and s = 3.00. 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 $. You are asked to interpret the meaning of this confidence interval by choosing the correct answer below: O A. The company believes with 90% confidence that the sample mean prescription amount is between these two amounts. O B. The company believes that the true mean prescription amount falls between these two values 90% of the time. C. There is a 0.90 probability that the true mean prescription amount is between these two values. D. The company believes with 90% confidence that the true mean prescription amount is between these two amounts.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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= $13.34 and s= 3.00. Complete parts a and b below.
a. The 90% confidence interval estimate for the true average sales value for presoriptions issued by the company is from $ to $
You are asked to interpret the meaning of this confidence interval by choosing the correct answer below:
O A. The company believes with 90% confidence that the sample mean prescription amount is between these two amounts.
O B. The company believes that the true mean prescription amount falls between these two values 90% of the time.
C. There is a 0.90 probability that the true mean prescription amount is between these two values.
OD. The company believes with 90% confidence that the true mean prescription amount is between these two amounts.
b. One of its retail outlets recently reported that it had monthly revenue of $7,074 from 537 prescriptions. Are such results to be expected? Should that retail outlet be
audited?
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 $7,074 from 537 prescriptions, there is
reason to believe that this is out of line. The retail outlet
be audited.
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= $13.34 and s= 3.00. Complete parts a and b below. a. The 90% confidence interval estimate for the true average sales value for presoriptions issued by the company is from $ to $ You are asked to interpret the meaning of this confidence interval by choosing the correct answer below: O A. The company believes with 90% confidence that the sample mean prescription amount is between these two amounts. O B. The company believes that the true mean prescription amount falls between these two values 90% of the time. C. There is a 0.90 probability that the true mean prescription amount is between these two values. OD. The company believes with 90% confidence that the true mean prescription amount is between these two amounts. b. One of its retail outlets recently reported that it had monthly revenue of $7,074 from 537 prescriptions. Are such results to be expected? Should that retail outlet be audited? 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 $7,074 from 537 prescriptions, there is reason to believe that this is out of line. The retail outlet be audited.
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