O (a) Determine the 95% confidence interval for the population mean. (Round your answers to two decimal places.) (b) Select which correctly describe the 95% confidence interval. (Select all that apply.) O We are 95% confident that the mean height of the entire business is larger than this interval. We are 95% confident that the mean height of the entire business is in this interval. 95% of employees have heights in this interval. 95 employees have heights in this interval. The 95% confidence interval is a subset of the 85% confidence interval. The upper height represents the 95th percentile. The 85% confidence interval is a subset of the 95% confidence interval. We are 5% confident that the mean height of the entire business is in this interval.

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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Question
The heights (measured in inches) of a sample of 40 employees at a business are recorded.
O JMP Applet
imp
?
Report
Distributions
height
Quantiles
Summary Statistics
100.0% maximum
72
Mean
64.325
Std Dev
Std Err Mean
Upper 95% Mean 65.639425
Lower 95% Mean 63.010575
99.5%
72
4.1099473
97.5%
71.95
0.6498397
90.0%
69
75.0%
quartile
67.75
50.0%
median
64.5
40
25.0%
quartile
62
10.0%
58.2
55 60
65
70
2.5%
52.1
0.5%
52
0.0%
minimum
52
Distributions
Distributions
height
height
Confidence Intervals
Confidence Intervals
Parameter Estimate Lower CI Upper CI 1-Alpha
Parameter
Estimate Lower CI Upper CI 1-Alpha
Mean
64.325
63.2301
65.4199
0.900
Mean
64.325 62.56529 66.08471
0.990
Std Dev
4.109947 3.474423 5.063385
0.900
Std Dev
4.109947 3.171969 5.739822
0.990
Confidence Intervals
Confidence Intervals
Parameter Estimate Lower CI Upper CI 1-Alpha
64.325 63.01058 65.63942
Parameter Estimate Lower CI Upper CI 1-Alpha
Mean
0.950
Mean
64.325
63.1569
65.4931
0.920
Std Dev
4.109947 3.366709 5.277318
0.950
Std Dev
4.109947 3.437598 5.133649
0.920
II
Transcribed Image Text:The heights (measured in inches) of a sample of 40 employees at a business are recorded. O JMP Applet imp ? Report Distributions height Quantiles Summary Statistics 100.0% maximum 72 Mean 64.325 Std Dev Std Err Mean Upper 95% Mean 65.639425 Lower 95% Mean 63.010575 99.5% 72 4.1099473 97.5% 71.95 0.6498397 90.0% 69 75.0% quartile 67.75 50.0% median 64.5 40 25.0% quartile 62 10.0% 58.2 55 60 65 70 2.5% 52.1 0.5% 52 0.0% minimum 52 Distributions Distributions height height Confidence Intervals Confidence Intervals Parameter Estimate Lower CI Upper CI 1-Alpha Parameter Estimate Lower CI Upper CI 1-Alpha Mean 64.325 63.2301 65.4199 0.900 Mean 64.325 62.56529 66.08471 0.990 Std Dev 4.109947 3.474423 5.063385 0.900 Std Dev 4.109947 3.171969 5.739822 0.990 Confidence Intervals Confidence Intervals Parameter Estimate Lower CI Upper CI 1-Alpha 64.325 63.01058 65.63942 Parameter Estimate Lower CI Upper CI 1-Alpha Mean 0.950 Mean 64.325 63.1569 65.4931 0.920 Std Dev 4.109947 3.366709 5.277318 0.950 Std Dev 4.109947 3.437598 5.133649 0.920 II
O (a)
Determine the 95% confidence interval for the population mean. (Round your answers to two decimal places.)
O (b)
Select which correctly describe the 95% confidence interval. (Select all that apply.)
O Wwe are 95% confident that the mean height of the entire business is larger than this interval.
We are 95% confident that the mean height of the entire business is in this interval.
O 95% of employees have heights in this interval.
95 employees have heights in this interval.
The 95% confidence interval is a subset of the 85% confidence interval.
The upper height represents the 95th percentile.
The 85% confidence interval is a subset of the 95% confidence interval.
O We are 5% confident that the mean height of the entire business is in this interval.
Transcribed Image Text:O (a) Determine the 95% confidence interval for the population mean. (Round your answers to two decimal places.) O (b) Select which correctly describe the 95% confidence interval. (Select all that apply.) O Wwe are 95% confident that the mean height of the entire business is larger than this interval. We are 95% confident that the mean height of the entire business is in this interval. O 95% of employees have heights in this interval. 95 employees have heights in this interval. The 95% confidence interval is a subset of the 85% confidence interval. The upper height represents the 95th percentile. The 85% confidence interval is a subset of the 95% confidence interval. O We are 5% confident that the mean height of the entire business is in this interval.
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