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Chapter 10: Q.10.70 (page 427)

You know that the population standard deviations are not equal.

Short Answer

Expert verified

For the current circumstance, a non-pooled t test should be utilised.

Step by step solution

01

Given Information

The standard deviations of the population are not the same.

02

Explanation

The following are the assumptions of the pooled t-test: - 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 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 are not equivalent in the present circumstance.

For non-pooled ttests, this is the assumption.

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Most popular questions from this chapter

Two-Tailed Hypothesis Tests and CIs. As we mentioned on page 413, the following relationship holds between hypothesis tests and confidence intervals: For a two-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 confidence interval for μ1-μ2 does not contain 0. In each case, illustrate the preceding relationship by comparing the results of the hypothesis test and confidence interval in the specified exercises.

a. Exercises 10.81 and 10.87

b. Excrcises 10.86 and 10.92

Consider the quantitiesμ1,σ1,x¯1,s1,μ2,σ2,x^2, and s2.

a. Which quantities represent parameters and which represent statistics?

b. Which quantities are fixed numbers and which are variables?

The intent is to employ the sample data to perform a hypothesis test to compare the means of the two populations from which the data were obtained. In each case, decide which of the procedures should be applied.

Independent: n1=40

n2=45

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 pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x¯1=20,s1=4,n1=10,x¯2=18,s2=5,n2=15

a. Right-tailed test,α=0.05

b. 90%confidence interval

In each of exercise 10.13-10.18, we have presented a confidence interval for the difference,μ1-μ2, between two population means. interpret each confidence interval

90%CI from-10to-5
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