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Chapter 10: Q.10.69 (page 427)

You know that the population standard deviations are equal.

Short Answer

Expert verified

For the current circumstance, a pooled ttest should be utilized.

Step by step solution

01

Given Information

The standard deviations of the population are the same.

02

Explanation

The following are the assumptions of the pooled ttest: - The sample should be a simple random sampling from two populations.

  • Each sample is distinct from the others.
  • The population is roughly normal.
  • Population standard deviations are the same.

The non-pooled tassumption is that the chosen sample should be a simple random sampling from two populations.

  • The samples are unrelated to each other.
  • The population is rather normal.
  • The sample size is substantial.

The two standard deviations values are similar in the present circumstance.

For the pooled ttest, this is the assumption.

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Most popular questions from this chapter

10.33 Regarding the four conditions required for using the pooled t-procedures:
a. what are they?
b. how important is each condition?

In this section, we introduced the pooled t-test, which provides a method for comparing two population means. In deriving the pooled f-test, we stated that the variable

z=f^1-x^2-μ1-μ2σ1/n1+1/n2

cannot be used as a basis for the required test statistic because σ is unknown. Why can't that variable be used as a basis for the required test statistic?

Doing Time. Refer to Exercise 10.45 and obtain a 90% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories.

Wing Length. Refer to Exercise 10.86 and find a 999 con fidence interval for the difference between the mean wing lengths o the two subspecies.


In each of Exercises 10.75-10.80, we have provided summary statistics for independent simple random samples from non populations. In each case, use the non pooled t-test and the non pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x¯1=15,s1=2,n1=15,x¯2=12,s2=5andn2=15.

a. Two-tailed test, α=0.05

b. 95%confidence interval.
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