Question

26. Consider the following statements. (i). If we are testing for the difference between two population...

26. Consider the following statements.

(i). If we are testing for the difference between two population means, it is assumed that the sample observations from one population are independent of the sample observations from the other population.

(ii). If we are testing for the difference between two population means, it is assumed that the two populations are approximately normal and have equal variances.

(iii). The critical value of t for a two-tail test of the difference of two means, a level of significance of 0.10 and sample sizes of seven and fifteen, is ±1.734.

Homework Answers

Answer #1

Answer:

1) True

The basic assumption when calculation for difference between two population means is that one population is independent of the sampe. Else the test is not possible

2) False

We never assume that the populations are normal and have equal variances when testing difference between population means

3) False

The critical values are +- 1.725 and not +- 1.734

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following statements. When estimating a confidence interval for the difference between the means of...
Consider the following statements. When estimating a confidence interval for the difference between the means of two independent populations. (i) The variances in both populations of variable X are assumed to be zero. (ii) Samples should be independently and randomly selected from the populations. (iii) Both samples have the same variance. A. Only (ii) is true. B. Only (i) is true. C. Both (i) and (iii) are true. D. Both (ii) and (iii) are true.
Consider the following statements. When estimating a confidence interval for the difference between the means of...
Consider the following statements. When estimating a confidence interval for the difference between the means of two independent populations. (i) The variances in both populations of variable X are assumed to be zero. (ii) Samples should be independently and randomly selected from the populations. (iii) Both samples have the same variance. A. Only (i) is true. B. Only (ii) is true. C. Both (ii) and (iii) are true. D. Both (i) and (iii) are true.
Consider the following statements. When estimating a confidence interval for the difference between the means of...
Consider the following statements. When estimating a confidence interval for the difference between the means of two independent populations. (i) The variances in both populations of variable X are assumed to be zero. (ii) Samples should be independently and randomly selected from the populations. (iii) Both samples have the same variance. A. Only (ii) is true. B. Only (i) is true. C. Both (ii) and (iii) are true. D. Both (i) and (iii) are true.
In testing the difference between two population means when population standard deviations are unknown, there are...
In testing the difference between two population means when population standard deviations are unknown, there are many cases depending upon whether the two population standard deviations are equal or not. Therefore, before testing the difference between two population means, the equality of two population variances must be tested first. Let the sample data from population #1 be? =10,?̅ =97.4,? =8.8769andfrompopulation#2be? =7,?̅ =110,? =30.2214. 111 222 Answer the following five questions assuming the level of significance=0.1. 23. In testing the hypothesis...
In testing the difference between two population means using two independent samples, the population standard deviations...
In testing the difference between two population means using two independent samples, the population standard deviations are assumed to be unknown, each sample size is 30, and the calculated test statistic z = 2.56. If the test is a two-tailed and the 5% level of significance has been specified, the conclusion should be: a. none of these answers is correct. b. choose two other independent samples. c. reject the null hypothesis. d. not to reject the null hypothesis.
Which of the following is not an assumption underlying the independent-measures t formula for hypothesis testing?...
Which of the following is not an assumption underlying the independent-measures t formula for hypothesis testing? The observations within each sample must be independent. The two populations from which the samples are selected must be normal. The two samples must have equal sample sizes. The two populations from which the samples are selected must have equal variances.
11 . Choosing the appropriate test statistic You are interested in the difference between two population...
11 . Choosing the appropriate test statistic You are interested in the difference between two population means. Both populations are normally distributed, and the population variances σ212 and σ222 are known. You use an independent samples experiment to provide the data for your study. What is the appropriate test statistic? F = √[2/n1 + 2/n2] F = s1/s2 z = (x̄1 – x̄2) / √[σ2/n1 + σ2/n2] z = (p̂1 – p̂2) / √[p̂(1 – p̂)(1/n1 + 1/n2)] Suppose instead...
Shea wants to estimate the difference between two population means and plans to use data collected...
Shea wants to estimate the difference between two population means and plans to use data collected from two independent simple random samples of sizes ?1=27 and ?2=32. She does not know the population standard deviations, so she plans to construct a two-sample ?-confidence interval for the difference in the two means. Use a ?‑distribution table to determine the positive ?‑critical value needed to construct a 95% confidence interval using a conservative estimate of the number of degrees of freedom. Enter...
What is the main difference between one population and two populations hypothesis testing?
What is the main difference between one population and two populations hypothesis testing?
Construct a 90% confidence interval estimate for the difference between two population means given the following...
Construct a 90% confidence interval estimate for the difference between two population means given the following sample data selected from two normally distributed populations with equal variances:    Sample   1    Sample 2 29          25        31          42           39           38     35        35        37 42           40           43     21         29        34    46           39           35