a random sample of female students in Spring 2022 semester. Data (in years) are given below. Is there sufficient evidence to conclude the difference in the means (average age) is statistically significant? use 5% (α = 0.05) significance level. Male grad

a random sample of female students in Spring 2022 semester. Data (in years) are given below. Is there sufficient evidence to conclude the difference in the means (average age) is statistically significant? use 5% (α = 0.05) significance level. Male grad

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question

12) A professor wanted to compare the ages of male and female graduate students at her university. She collected a random sample of male and a random sample of female students in Spring 2022 semester. Data (in years) are given below. Is there sufficient evidence to conclude the difference in the means (average age) is statistically significant? use 5% (α = 0.05) significance level. Male graduate students: 29, 35, 36, 28, 24, 30, 31, 25, 27, 29, 41, 39, 38, 35, 30 Female graduate students: 28, 27, 29, 24, 28, 24, 35, 37, 26, 29, 28, 36, 28, 35, 28 a) Write the null hypothesis and alternative hypothesis to test the above claim. b) What is the value of the test statistic? c) What is the degrees of freedom of the t distribution of the test statistic? d) What is the p-value? e) Write your conclusion and express in terms of the evidence for the indicated calim.

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