The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September 51 71 58 81 73 64 64 68 54 April 54 77 56 82 75 68 60 68 56 a. Use a 0.01 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, " is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Но: на = 0 кg H₁: Hd > 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t= -2.72 (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year.
Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights
were measured in September and later in April. Use the listed paired sample data, and assume that the
samples are simple random samples and that the differences have a distribution that is approximately normal.
Complete parts (a) through (c).
September 51 71 58 81 73 64 64 68 54
April
54 77 56 82 75 68 60 68 56
a. Use a 0.01 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April.
In this example, " is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative
hypotheses for the hypothesis test?
Ho: H = 0 kg
H₁: H> 0 kg
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -2.72 (Round to two decimal places as needed.)
Transcribed Image Text:The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September 51 71 58 81 73 64 64 68 54 April 54 77 56 82 75 68 60 68 56 a. Use a 0.01 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, " is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho: H = 0 kg H₁: H> 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t= -2.72 (Round to two decimal places as needed.)
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