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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炉1-x炉2卤ta2路s12n1+s22n2

=(82.1-84.9)卤2.787

1.501214+1.698214

= -4.488 to -1.111

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Most popular questions from this chapter

Left-Tailed Hypothesis Tests and CIs. If the assumptions for a pooled t-interval are satisfied, the formula for a (1-伪)-level upper confidence bound for the difference, 渭1-渭2, between two population means is

x炉1-x~2+ta路Sp1/n1+1/n2

For a left-tailed hypothesis test at the significance level 伪, the null hypothesis H0:渭1=渭2will be rejected in favor of the alternative hypothesis Ha:渭1<渭2if and only if the (1-伪)-level upper confidence bound for 渭1-渭2is 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 10.45

b. Exercise 10.46

Refer to Exercise 10.86and find a 99% confidence interval for the difference between the mean wing lengths of the two subspecies.

In this Exercise, we have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t-lest and the pooledt-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
x炉1=20,s1=4,n1=20,x炉2=24,s2=5,n2=15

a. Left-tailed test, 伪=0.05

b. 90%confidence interval

The primary concern is deciding whether the mean of Population 1 is less than the mean of Population 2.

In this Exercise, we have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x炉1=20,s1=4,n1=10,x炉2=23,s2=5,n2=15

a. Left-tailed test,伪=0.05

b. 90%confidence interval
See all solutions

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