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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

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Use the technology of your choice to answer the following questions. Explain your answers.

a. If you had to choose between the use of pooledt-procedures and nonpooled t-procedures here, which would you choose?

b. Is it reasonable to use the type of procedure that you selected in part (a)?

Suppose that the sample sizes, n4and n2, are equal for independent simple random samples from two populations.

a. Show that the values of the pooled and nonpooled r-statistics will be identical. (Hint: Refer to Exercise 10.61 on page 417.)

b. Explain why part (a) does not imply that the two t-tests are Equivalent (i.e., will necessarily lead to the same conclusion) when the sample sizes are equal.

Fortified Juice and PIH. Refer to Exercise 10.47 and find a 90% confidence interval for the difference between the mean reductions in PTH levels for fortified and unfortified orange juice.

In each of Exercises 10.35-10.38, we have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-lest and pooled t-interval procedure is reasonable. Explain your answer.
10.37 x炉1=118,s1=12.04,n1=99
x2=110,s2=11.25,n2=80

Identify the assumption for using the two means ztest and the two mean zinterval procedure that renders those procedures generally impractical.
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