O a. Yes, conducting a hypothesis test using the t-distribution would be appropriate. O b. No, conducting a hypothesis test using the t-distribution would not be appropriate because np and n(1 are less than 10. O c. No, conducting a hypothesis test using the t-distribution would not be appropriate because the data are extremely skewed and outliers are present. O d. No, conducting a hypothesis test using the t-distribution would not be appropriate since we do not know the population standard deviation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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27
An advertiser wants to estimate the average wait time that a customer has in the drive-through for a particular fast food chain. The advertiser wants to run a campaign where the fast food chain claims to have shorter wait times than
any other restaurant. The fast food chain's competitor has an average wait time of 240 seconds (4 minutes). The advertiser enlists a statistician to find evidence that the fast food chain has a shorter average wait time than the
competitor. A random sample of 24 customers were asked to record the wait time that it took for them to receive their food.
Would conducting a hypothesis test using the t-distribution be appropriate in this situation?
Distribution of Wait Times for a Random Sample of 24 Customers
Proportion of Customers
L.
0.3
0.2
0.1
200
400
600
800
Wait Time (in seconds)
Transcribed Image Text:An advertiser wants to estimate the average wait time that a customer has in the drive-through for a particular fast food chain. The advertiser wants to run a campaign where the fast food chain claims to have shorter wait times than any other restaurant. The fast food chain's competitor has an average wait time of 240 seconds (4 minutes). The advertiser enlists a statistician to find evidence that the fast food chain has a shorter average wait time than the competitor. A random sample of 24 customers were asked to record the wait time that it took for them to receive their food. Would conducting a hypothesis test using the t-distribution be appropriate in this situation? Distribution of Wait Times for a Random Sample of 24 Customers Proportion of Customers L. 0.3 0.2 0.1 200 400 600 800 Wait Time (in seconds)
Distribution of Wait Times for a Random Sample of 24 Customers
200
400
Wait Time (in seconds)
600
800
O a. Yes, conducting a hypothesis test using the t-distribution would be appropriate.
O b. No, conducting a hypothesis test using the t-distribution would not be appropriate because np and n(1 - p) are less than 10.
O c. No, conducting a hypothesis test using the t-distribution would not be appropriate because the data are extremely skewed and outliers are present.
O d. No, conducting a hypothesis test using the t-distribution would not be appropriate since we do not know the population standard deviation.
Transcribed Image Text:Distribution of Wait Times for a Random Sample of 24 Customers 200 400 Wait Time (in seconds) 600 800 O a. Yes, conducting a hypothesis test using the t-distribution would be appropriate. O b. No, conducting a hypothesis test using the t-distribution would not be appropriate because np and n(1 - p) are less than 10. O c. No, conducting a hypothesis test using the t-distribution would not be appropriate because the data are extremely skewed and outliers are present. O d. No, conducting a hypothesis test using the t-distribution would not be appropriate since we do not know the population standard deviation.
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