identify the test statistic - (Round to two decimal places as needed.) identify the P-value P-value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There 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<< kg. (Type integers or decimals rounded to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Because the confidence interval includes ▼ H₂ c. What do you conclude about the Freshman 15 belief? The test does not address the specific weight gain of 15 lb, but it does suggest that there is 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 Aprill evidence to conclude that males gain weight during their freshman year. The confidence interval a weight gain of 6.8 kg

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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8.7

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).
C
September
April
Ho: Md
= 0 kg
H₁: Pd
0 kg
(Type integers or decimals. Do not round.)
54 55 66 72 58 57 52 57 59 D
56 58 71 59 56 58 53 59 62
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, μ 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?
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). C September April Ho: Md = 0 kg H₁: Pd 0 kg (Type integers or decimals. Do not round.) 54 55 66 72 58 57 52 57 59 D 56 58 71 59 56 58 53 59 62 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, μ 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?
Identify the test statistic.
t= (Round to two decimal places as needed.)
Identify the P-value.
P-value (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level,
the null hypothesis. There
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<< kg.
(Type integers or decimals rounded to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Because the confidence interval includes
Ho
e. What do you conclude about the Freshman 15 belief?
The test does not address the specific weight gain of 15 lb, but it does suggest that there is
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.
evidence to conclude that males gain weight during their freshman year. The confidence interval
a weight gain of 6.8 kg.
Transcribed Image Text:Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There 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<< kg. (Type integers or decimals rounded to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Because the confidence interval includes Ho e. What do you conclude about the Freshman 15 belief? The test does not address the specific weight gain of 15 lb, but it does suggest that there is 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. evidence to conclude that males gain weight during their freshman year. The confidence interval a weight gain of 6.8 kg.
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