The marketing director of a large department store in Metro Manila wants to estimate the average number of customers who enter the store every five minutes. She randomly selects five-minute intervals and counts the number of arrivals at the store. She obtains the figures: 31,37,42,49,52,54,65.68. Find the mean of this sample. 49.8 Find the standard deviation of this sample. 12.9 Give the t-value for a 95% confidence coefficient, assuming a normal distribution. 2.365 Give a 95% confidence interval for the number of arrivals. (39.0, 60.5) Suppose the computed 95% confidence interval is (39, 60), which of the below interpretation is correct. [Select] [Select] there is a 95% probability that the true mean is 39. If we get many additional random samples and from each compute a 95% confidence intervals, approximately 95% of these intervals would contain the true average arrivals. All of the above are true. 95% of values sampled are between 39 and 60.

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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The marketing director of a large department store in Metro Manila wants to estimate the average number of
customers who enter the store every five minutes. She randomly selects five-minute intervals and counts the
number of arrivals at the store. She obtains the figures: 31,37,42,49,52,54,65,68.
Find the mean of this sample. 49.8
Find the standard deviation of this sample. 12.9
Give the t-value for a 95% confidence coefficient, assuming a normal distribution.
2.365
Give a 95% confidence interval for the number of arrivals.
(39.0, 60.5)
Suppose the computed 95% confidence interval is (39, 60), which of the below interpretation is correct.
[Select]
[Select]
there is a 95% probability that the true mean is 39.
If we get many additional random samples and from each compute a 95% confidence intervals, approximately 95% of these intervals would contain the true average arrivals.
All of the above are true.
95% of values sampled are between 39 and 60.
There is a 95% probability that the true average arrivals is between 39 and 60.
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Transcribed Image Text:ic n The marketing director of a large department store in Metro Manila wants to estimate the average number of customers who enter the store every five minutes. She randomly selects five-minute intervals and counts the number of arrivals at the store. She obtains the figures: 31,37,42,49,52,54,65,68. Find the mean of this sample. 49.8 Find the standard deviation of this sample. 12.9 Give the t-value for a 95% confidence coefficient, assuming a normal distribution. 2.365 Give a 95% confidence interval for the number of arrivals. (39.0, 60.5) Suppose the computed 95% confidence interval is (39, 60), which of the below interpretation is correct. [Select] [Select] there is a 95% probability that the true mean is 39. If we get many additional random samples and from each compute a 95% confidence intervals, approximately 95% of these intervals would contain the true average arrivals. All of the above are true. 95% of values sampled are between 39 and 60. There is a 95% probability that the true average arrivals is between 39 and 60. Previous Next >
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