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Chapter 10: Q. 10.92 (page 449)

Wing Length. Refer to Exercise 10.86 and find a 99 con fidence interval for the difference between the mean wing lengths c the two subspecies.

Short Answer

Expert verified

-4.488 is the interval in text. from text to -1.111 text

Step by step solution

01

Given Information

Consider the table,

02

Explanation

For 99% confidence interval,

df=s12n1+s22n22s12n12x22n22

=1.5012142+1.69821421.501214214-1+1.698214214-1

= 25

The end point of interval are,

x¯1-x¯2±ta2·s12n1+s22n2

=(82.1-84.9)±2.787

1.501214+1.698214

= -4.488 to -1.111

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Most popular questions from this chapter

Right-Tailed Hypothesis Tests and CIs. If the assumptions for a pooled t-interval are satisfied, the formula for a (1-α)-level lower confidence bound for the difference, μ1-μ2, between two population means is

x¯1-x^2-ta·Sp1/n1+1/n2

For a right-tailed hypothesis test at the significance level α,

the null hypothesis H0:μ1=μ2will be rejected in favor of the alternative hypothesis Ha:μ1>μ2if and only if the (1-α)-level lower confidence bound for μ1-μ2is greater than or equal to 0. In each case, illustrate the preceding relationship by obtaining the appropriate lower confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.

a. Exercise 10.47

b. Exercise 10.50

Left-Tailed Hypothesis Tests and CIs. If the assumptions for a nonpooled t-interval are satisfied, the formula for a (1-α) level upper confidence bound for the difference, μ1-μ2. between two population means is

f1-f2+t0·s12/n1+s22/n2

For a left-tailed hypothesis test at the significance level α, the null hypothesis H0:μ1=μ2 will be rejected in favor of the alternative hypothesis H2:μ1<μ2 if and only if the (1-α)-level upper confidence bound for μ1-μ2 is less than or equal to 0. In each case, illustrate the preceding relationship by obtaining the appropriate upper confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.

a. Exercise 10.83

b. Exercise 10.84

Ha*μ1<μ2

The primary concern is deciding whether the mean of Population 2 differs from the mean of Population 1 .

Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions of the variable under consideration have the same shape, but are not normal, and both sample sizes are large. Answer the following questions and explain your answers.

a. Is it permissible to use the pooled t-test to perform the hypothesis test?

b. Is it permissible to use the Mann-Whitney test to perform the hypothesis test?

c. Which procedure is preferable, the pooled t-test or the Mann-Whitney test?
See all solutions

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