A self-serving coffee-dispensing machine at a gas station convenience store is supposed to deliver 8 oz when a small drink is ordered. A customer claims that the mean serving of a coffee-dispensing machine is less than 8 oz per serving. A simple random sample of 37 servings shows the following data: 7.7 8 7.3 7 7.7 7.3 7.9 7.4 7.3 8.1 7.6 8 7 7.1 6.4 8.7 7.8 7.6 7.9 7.5 7.2 6.8 6.7 6.9 8.1 7.7 7.6 7.6 7.8 7.7 6.7 7.6 7.6 7.9 7.5 7.4 7.3 At the 10% significance level, test the customer's claim assuming that the population standard deviation of servings is 0.45 oz. (Note: The average and the standard deviation of the data are respectively 7.5 oz and 0.47 oz.) Procedure: Assumptions: (select everything that applies) Normal population The number of positive and negative responses are both greater than 10 Simple random sample Sample size is greater than 30 Population standard deviation is unknown Population standard deviation is known
A self-serving coffee-dispensing machine at a gas station convenience store is supposed to deliver 8 oz when a small drink is ordered. A customer claims that the mean serving of a coffee-dispensing machine is less than 8 oz per serving. A simple random sample of 37 servings shows the following data: 7.7 8 7.3 7 7.7 7.3 7.9 7.4 7.3 8.1 7.6 8 7 7.1 6.4 8.7 7.8 7.6 7.9 7.5 7.2 6.8 6.7 6.9 8.1 7.7 7.6 7.6 7.8 7.7 6.7 7.6 7.6 7.9 7.5 7.4 7.3 At the 10% significance level, test the customer's claim assuming that the population standard deviation of servings is 0.45 oz. (Note: The average and the standard deviation of the data are respectively 7.5 oz and 0.47 oz.) Procedure: Assumptions: (select everything that applies) Normal population The number of positive and negative responses are both greater than 10 Simple random sample Sample size is greater than 30 Population standard deviation is unknown Population standard deviation is known
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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A self-serving coffee-dispensing machine at a gas station convenience store is supposed to deliver 8 oz when a small drink is ordered. A customer claims that the mean serving of a coffee-dispensing machine is less than 8 oz per serving. A simple random sample of 37 servings shows the following data:
| 7.7 | 8 | 7.3 | 7 | 7.7 |
| 7.3 | 7.9 | 7.4 | 7.3 | 8.1 |
| 7.6 | 8 | 7 | 7.1 | 6.4 |
| 8.7 | 7.8 | 7.6 | 7.9 | 7.5 |
| 7.2 | 6.8 | 6.7 | 6.9 | 8.1 |
| 7.7 | 7.6 | 7.6 | 7.8 | 7.7 |
| 6.7 | 7.6 | 7.6 | 7.9 | 7.5 |
| 7.4 | 7.3 |
At the 10% significance level, test the customer's claim assuming that the population standard deviation of servings is 0.45 oz. (Note: The average and the standard deviation of the data are respectively 7.5 oz and 0.47 oz.)
Procedure:
Assumptions: (select everything that applies)
- Normal population
- The number of positive and negative responses are both greater than 10
- Simple random sample
- Sample size is greater than 30
- Population standard deviation is unknown
- Population standard deviation is known
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