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 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 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, Hd 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 Hd = 0 kg H₁ Hd > 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t=1.33 (Round to two decimal places as needed.) Identify the P-value. P-value (Round to three decimal places as needed.)

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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
68 71 57 81 68 56 65 64 71
April
64 69 58 82 69 58 68 68 77
a. Use a 0.05 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, Hd 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 Hd
= 0 kg
H₁ Hd >
0 kg
(Type integers or decimals. Do not round.)
Identify the test statistic.
t=1.33 (Round to two decimal places as needed.)
Identify the P-value.
P-value (Round to three 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 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 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, Hd 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 Hd = 0 kg H₁ Hd > 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t=1.33 (Round to two decimal places as needed.) Identify the P-value. P-value (Round to three decimal places as needed.)
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