Explain when a z-test would be appropriate over a t-test

Assignment Help Applied Statistics
Reference no: EM13703186

Question: In order to receive full credit on calculated answers, please show your work. (Use Word''s equation editor, etc., and/or provide a short written description as to how you obtained the final result.)

Question -1:

Explain when a z-test would be appropriate over a t-test 1. There is a new drug that is used to treat leukemia. The following data represents the remission time in weeks for a random sample of 21 patients using the drug.

10 7 32 23 22 6 16
11 20 19 6 17 35 6
10 34 32 25 13 9 6

Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01?

State the Null Hypothesis

State the Alternatice Hypothesis

State the Level of significance

State the Test Statistic

Question-2:

Researchers routinely choose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations in which you might accept a higher level (e.g., 0.1)?2. We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.

Men Women
20 29
37 28
46 20
23 28
20 42
23 45
21 19
15 45
20 16
28 32
27 38
20 45
30 41
22 34
27 28
38 21
29 42
20 21
16 30
27 28
42 30
37 43
39 40
39 16
32 44
16 15
21 16
26 20
17 41
39 16

State the Null Hypothesis

State the Alternatice Hypothesis

State the Level of significance

State the Test Statistic

Verified Expert

Reference no: EM13703186

Prepare table that shows mean and standard deviattion

STATS1900 Business Statistics Major Assignment. Prepare a summary table that shows the mean, standard deviation and 95% confidence interval for the mean of the following vari

Construct a frequency distribution and percents

Frequency distribution from part a: Find the mean, variance and stand excldeviation and using the frequency distribution from parta: What is the probability of a randomly sel

The population proportion of americans with diabetes

The population proportion of Americans with diabetes is 9 percent (uc0u960 = 0.09). In repeated random samples of n = 800 Americans, 90% of sample proportions of people

The labor needed to produce product 1 is 4 hours

Decide how many of each of the following products your company should produce. The labor needed to produce product 1 is 4 hours, product 2 requires 9 hours of labor. Product 1

Set up a confidence interval estimate of the proportion

The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. A random sample of 25 wo

An analyst collected random samples of 25

To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples on average the 25 women charge customers spen

Use of electro-acupuncture in conjunction with exercise

Refer to "The Use of Electro-Acupuncture in Conjunction with Exercise for the Treatment of Chronic Low-Back Pain" by Yeung, Leung, and Chow. Examine the question the researche

A hand of five cards is randomly chosen

A hand of five cards is randomly chosen, without replacement, from a standard 52 card deck. What is the probability that the hand consist of two parts of the same kind(with ea

Reviews

Write a Review

 
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd