Explanation Given info: From exercise 2 the confidence interval obtained using the formula 9-1 is 11.65 cm < μ 1 − μ 2 < 17.28 cm . Calculation: Step-by-step MINITAB procedure to obtain the variance is as follows: Choose Stat > Basic Statistics > Display Descriptive Statistics . In Variables enter the columns. Choose option statistics , and select V ariance . Click OK . Output using the MINITAB software is given below: Thus, the variance of female heights is 43.54, variance of male heights is 36.20 and sample size is 40. Formula 9-1: df = ( A + B ) 2 A 2 n 1 − 1 + B 2 n 2 − 1 where A = s 1 2 n 1 and B = s 2 2 n 2 Substitute s 1 2 as 43.54, and n 1 as 40 in the formula, A = 43.54 40 = 1.0885 Substitute s 2 2 as 36

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ISBN: 9780321837936

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 9.3, Problem 28BB

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To calculate: The degrees of freedom using the formula 9-1.

To explain: In what sense “ df=smaller of n1−1 and n2−1 ” a more conservative estimate of the number of degrees: of freedom than the estimate obtained with Formula 9-1.

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Chapter 9.3, Problem 27BB

Chapter 9.3, Problem 29BB

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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 136 to 190 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yiel x= 167.51 cm, y = 81.36 kg,r= 0.232, P-value = 0.020, and y = - 103+ 1.13x. Find the best predicted value of y (weight) given an adult male who is 153 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 153 cm tall is kg. (Round to two decimal places as needed.)

Chapter 9 Solutions

Elementary Statistics

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The degrees of freedom using the formula 9-1. To explain: In what sense “ d f = smaller of n 1 − 1 and n 2 − 1 ” a more conservative estimate of the number of degrees: of freedom than the estimate obtained with Formula 9-1.

Solution Summary: The author calculates the degrees of freedom using the formula 9-1. The confidence interval is wider and the difference between the sample means need to be more extreme to consider as significantly different.

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To calculate: The degrees of freedom using the formula 9-1.

To explain: In what sense “ df=smaller of n1−1 and n2−1 ” a more conservative estimate of the number of degrees: of freedom than the estimate obtained with Formula 9-1.

Want to see the full answer?

Chapter 9 Solutions

The degrees of freedom using the formula 9-1. To explain: In what sense “ d f = smaller of n 1 − 1 and n 2 − 1 ” a more conservative estimate of the number of degrees: of freedom than the estimate obtained with Formula 9-1.

Solution Summary: The author calculates the degrees of freedom using the formula 9-1. The confidence interval is wider and the difference between the sample means need to be more extreme to consider as significantly different.

Videos

To calculate: The degrees of freedom using the formula 9-1. To explain: In what sense “ df=smaller of n1−1 and n2−1 ” a more conservative estimate of the number of degrees: of freedom than the estimate obtained with Formula 9-1.

Want to see the full answer?

Chapter 9 Solutions

To calculate: The degrees of freedom using the formula 9-1.

To explain: In what sense “ df=smaller of n1−1 and n2−1 ” a more conservative estimate of the number of degrees: of freedom than the estimate obtained with Formula 9-1.