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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 49 52 54 56 59 74 64 75 74 April 50 53 56 58 62 78 68 82 69 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, Had 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. Whe 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=1.95 (Round to two decimal places as needed.) Identify the P-value. P-value=0.046 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, do not reject the null hypothesis. There is not sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is kg

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 49 52 54 56 59 74 64 75 74 April 50 53 56 58 62 78 68 82 69 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, Had 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. Whe 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=1.95 (Round to two decimal places as needed.) Identify the P-value. P-value=0.046 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, do not reject the null hypothesis. There is not sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is kg

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 49 52 54 56 59 74 64 75 74 April 50 53 56 58 62 78 68 82 69 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, Had 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. Whe 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=1.95 (Round to two decimal places as needed.) Identify the P-value. P-value=0.046 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, do not reject the null hypothesis. There is not sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is kg <H<kg. (Type integers or decimals rounded to one decimal place 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 49 52 54 56 59 74 64 75 74 April 50 53 56 58 62 78 68 82 69 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, Had 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. Whe 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=1.95 (Round to two decimal places as needed.) Identify the P-value. P-value=0.046 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, do not reject the null hypothesis. There is not sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is kg <H<kg. (Type integers or decimals rounded to one decimal place as needed.)
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