Have American males (AMs) gotten heavier over the last 20 years? A random sample 77 AMs in 2019 had a mean weight of x = 189.030 pounds. A random sample 93 AMs in 1999 had a mean weight of y = 184.795 pounds. It is recognized that the true standard deviation of 2019 AMs weights is σx = 14.04 pounds while it is recognized that the true standard deviation of 1999 AMs weights is σy = 10.03 pounds. The true (unknown) mean of 2019 AMs weights is μx pounds, while the true (unknown) mean of 1999 AMs weights is μy pounds. Weights are known to be a normally distributed. In summary: Type Sample Size Sample Mean Standard Deviation 2019 Data (X) 77 189.030 14.04 1999 Data (Y) 93 184.795 10.03 g) What is the length of your 98% confidence interval for μx-μy? h) If we used this data to test H0:μx-μy=0 against the alternative Ha:μx-μy> 0 then what would the value of the calculated test statistic z have been?
Have American males (AMs) gotten heavier over the last 20 years? A random sample 77 AMs in 2019 had a mean weight of x = 189.030 pounds. A random sample 93 AMs in 1999 had a mean weight of y = 184.795 pounds. It is recognized that the true standard deviation of 2019 AMs weights is σx = 14.04 pounds while it is recognized that the true standard deviation of 1999 AMs weights is σy = 10.03 pounds. The true (unknown) mean of 2019 AMs weights is μx pounds, while the true (unknown) mean of 1999 AMs weights is μy pounds. Weights are known to be a normally distributed. In summary: Type Sample Size Sample Mean Standard Deviation 2019 Data (X) 77 189.030 14.04 1999 Data (Y) 93 184.795 10.03 g) What is the length of your 98% confidence interval for μx-μy? h) If we used this data to test H0:μx-μy=0 against the alternative Ha:μx-μy> 0 then what would the value of the calculated test statistic z have been?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Have American males (AMs) gotten heavier over the last 20 years? A random sample 77 AMs in 2019 had a
σx
= 14.04 pounds while it is recognized that the true standard deviation of 1999 AMs weights is
σy
= 10.03 pounds. The true (unknown) mean of 2019 AMs weights is
μx
pounds, while the true (unknown) mean of 1999 AMs weights is
μy
pounds. Weights are known to be a
| Type | Sample Mean | Standard Deviation | |
|---|---|---|---|
| 2019 Data (X) | 77 | 189.030 | 14.04 |
| 1999 Data (Y) | 93 | 184.795 | 10.03 |
g) What is the length of your 98% confidence interval for
μx-μy?
h) If we used this data to test
h) If we used this data to test
H0:μx-μy=0 against the alternative Ha:μx-μy> 0 then what would the value of the calculated test statistic z have been?
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