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The average income of American women who work full-time and have only a high school degree is $35,713. You wonder whether the mean income of female graduates from your local high school who work full-time but have only a high school degree is different from the national average. You obtain income information from an STS of 62 female graduates who work full-time and have only a high school degree and find that x = $35,053. For the provided example, the hypotheses you test is Ho : µ = $35,713 vs Ha : µ # $35,713. The P-value in the given example is the probability (taking the null hypothesis µ = 0 to be true) that x takes a value at least as far from 0 in either direction as 17. For this exercise, x = 17, o = 60 and the sample size is 18.

The average income of American women who work full-time and have only a high school degree is $35,713. You wonder whether the mean income of female graduates from your local high school who work full-time but have only a high school degree is different from the national average. You obtain income information from an STS of 62 female graduates who work full-time and have only a high school degree and find that x = $35,053. For the provided example, the hypotheses you test is Ho : µ = $35,713 vs Ha : µ # $35,713. The P-value in the given example is the probability (taking the null hypothesis µ = 0 to be true) that x takes a value at least as far from 0 in either direction as 17. For this exercise, x = 17, o = 60 and the sample size is 18.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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The average income of American women who work full-time and have only a high school degree is $35,713. You wonder whether the mean income of female graduates from your local high school who work full-time but have only a high school degree is different from the national average. You obtain income information from an STS of 62 female graduates who work full-time and have only a high school degree and find that i = $35,053. For the provided example, the hypotheses you test is Ho : µ = $35,713 vs Ha : µ + $35,713. The P-value in the given example is the probability (taking the null hypothesis u = 0 to be true) that x takes a value at least as far from 0 in either direction as 17. For this exercise, x = 17, o = 60 and the sample size is 18. What is the sampling distribution of x when u = 0? Normal with mean 0 and standard deviation 60. Normal with mean 0 and standard deviation 14.1421. Normal with mean 1.1 and standard deviation 3.3333. O Normal with mean 17 and standard deviation 0.1852.
Transcribed Image Text:The average income of American women who work full-time and have only a high school degree is $35,713. You wonder whether the mean income of female graduates from your local high school who work full-time but have only a high school degree is different from the national average. You obtain income information from an STS of 62 female graduates who work full-time and have only a high school degree and find that i = $35,053. For the provided example, the hypotheses you test is Ho : µ = $35,713 vs Ha : µ + $35,713. The P-value in the given example is the probability (taking the null hypothesis u = 0 to be true) that x takes a value at least as far from 0 in either direction as 17. For this exercise, x = 17, o = 60 and the sample size is 18. What is the sampling distribution of x when u = 0? Normal with mean 0 and standard deviation 60. Normal with mean 0 and standard deviation 14.1421. Normal with mean 1.1 and standard deviation 3.3333. O Normal with mean 17 and standard deviation 0.1852.
Do a Normal probability calculation to find the P-value. 0.3849 0.2302 0.7794 O 0.1151
Transcribed Image Text:Do a Normal probability calculation to find the P-value. 0.3849 0.2302 0.7794 O 0.1151
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