You collect the following sample data concerning average life expectancies for female and male residents in Boston. You assum population standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the approp table: z table or ttable) Female. X₁ = 81.1 n1 = 32 Male X2 = 74.8 n2 = 32 Assume that μ₁ is the population mean of life expectancy for females and 2 is the population mean of life expectancy for males a. Set up the hypotheses to test whether the average life expectancy of female Bostonians is higher than that of male Bostoniar Ο Ho: μι - μ2 = 0; HA: μ1 – μ2 * 0 Ho: M1 M2 ≥ 0; HA: M1 - μ2 < 0 Ο Ho: μι - μ2 = 0; HA: μ1 – μ2 > 0 b. Calculate the value of the test statistic and the p-value. (Round "Test statistic" value to 2 decimal places and "p-value" to 4 decimal places.) Test statistic p-value
You collect the following sample data concerning average life expectancies for female and male residents in Boston. You assum population standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the approp table: z table or ttable) Female. X₁ = 81.1 n1 = 32 Male X2 = 74.8 n2 = 32 Assume that μ₁ is the population mean of life expectancy for females and 2 is the population mean of life expectancy for males a. Set up the hypotheses to test whether the average life expectancy of female Bostonians is higher than that of male Bostoniar Ο Ho: μι - μ2 = 0; HA: μ1 – μ2 * 0 Ho: M1 M2 ≥ 0; HA: M1 - μ2 < 0 Ο Ho: μι - μ2 = 0; HA: μ1 – μ2 > 0 b. Calculate the value of the test statistic and the p-value. (Round "Test statistic" value to 2 decimal places and "p-value" to 4 decimal places.) Test statistic p-value
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
![You collect the following sample data concerning average life expectancies for female and male residents in Boston. You assume a
population standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the appropriate
table: z table or t table)
Female
X₁ = 81.1
n1 =
32
Male
X2 = 74.8
n2 =
32
Assume that μ₁ is the population mean of life expectancy for females and µ2 is the population mean of life expectancy for males.
a. Set up the hypotheses to test whether the average life expectancy of female Bostonians is higher than that of male Bostonians.
HO: M1 μ2 0; HA: M1 M2 = 0
Ho: μι – μ2 = 0; HA: μι – μ2 < 0
O Ho: M1
M2 ≤ 0; HA: M1 M2 > 0
Test statistic
p-value
=
b. Calculate the value of the test statistic and the p-value. (Round "Test statistic" value to 2 decimal places and "p-value" to 4
decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f574bbf-19a1-4ad7-b169-9f5be2ce0cc8%2F6c3aefda-8b95-4124-bc9c-4e14ee94c30c%2Fgd5iq1e_processed.png&w=3840&q=75)
Transcribed Image Text:You collect the following sample data concerning average life expectancies for female and male residents in Boston. You assume a
population standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the appropriate
table: z table or t table)
Female
X₁ = 81.1
n1 =
32
Male
X2 = 74.8
n2 =
32
Assume that μ₁ is the population mean of life expectancy for females and µ2 is the population mean of life expectancy for males.
a. Set up the hypotheses to test whether the average life expectancy of female Bostonians is higher than that of male Bostonians.
HO: M1 μ2 0; HA: M1 M2 = 0
Ho: μι – μ2 = 0; HA: μι – μ2 < 0
O Ho: M1
M2 ≤ 0; HA: M1 M2 > 0
Test statistic
p-value
=
b. Calculate the value of the test statistic and the p-value. (Round "Test statistic" value to 2 decimal places and "p-value" to 4
decimal places.)
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