The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 36 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 40 sales representatives reveals that the mean number of calls made last week was 43. The standard deviation of the sample is 6.4 calls. Using the 0.050 significance level, can we conclude that the mean number of calls per salesperson per week is more than 36?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook
publishing company, claims that the sales representatives make an average of 36 sales
calls per week on professors. Several reps say that this estimate is too low. To
investigate, a random sample of 40 sales representatives reveals that the mean number
of calls made last week was 43. The standard deviation of the sample is 6.4 calls. Using
the 0.050 significance level, can we conclude that the mean number of calls per
salesperson per week is more than 36?
Ho:μ ≤ 36
H₁: μ> 36
1. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test
statistic
2. What is your decision regarding Ho?
(Click to select) Ho. The mean number of calls is (Click to select) than 36 per week.
Transcribed Image Text:The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 36 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 40 sales representatives reveals that the mean number of calls made last week was 43. The standard deviation of the sample is 6.4 calls. Using the 0.050 significance level, can we conclude that the mean number of calls per salesperson per week is more than 36? Ho:μ ≤ 36 H₁: μ> 36 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 2. What is your decision regarding Ho? (Click to select) Ho. The mean number of calls is (Click to select) than 36 per week.
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