Chapter 81) Construct a 95% confidence interval estimate for the population mean given thats =30 , x = 45 and n= 20.2) A random sample of 81 workers at a company showed that they work an average of100 hours per month with a standard deviation of 27 hours. At 95% confidence, howmany more workers need to be included in the sample to provide a confidence intervalwith length 4 (i.e., the margin of error being 2)?Chapter 93) Given the following null and alternative hypothesis test:Họ : µ > 210НА: и < 210If a = 0.025 with n = 25, s = 9 , and x = 208.2, thena. state the decision rule in terms of the critical value of test statistic.b. calculate the value of the test statistic.c. state the conclusion.4) In the following null and alternative hypothesesHo : µ =68 and H A:+ 68 , a =0.02 , x = 69.02 , o = 5.4 and n=40a. State the decision rule in terms of the critical value of the test statistic.b. State the calculated value of the test statistic.c. State the conclusion.d. Compute the p - value. Does its value support the claimed obtained in part a justify.15) A company claims that the coffee contents in a bottle of coffee are at least 200 grams. Totest their claim, a random sample of 20 bottles was taken and it was found that the meansample were 190 grams with a sample standard deviation of 5 grams. AtHo : µ > 200 against the alternative hypothesis HA : µ <contents in the0.01 level of significance, test200. Can we conclude that the company's claim is justified?

Note: As per the guidelines, only first question has been solved here. Given data: Sample size, n =…

Answered: 1) Construct a 95% confidence interval…

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1) Construct a 95% confidence interval estimate for the population mean given that s =30 , x = 45 and n=20.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

100%

Chapter 8
1) Construct a 95% confidence interval estimate for the population mean given that
s =30 , x = 45 and n= 20.
2) A random sample of 81 workers at a company showed that they work an average of
100 hours per month with a standard deviation of 27 hours. At 95% confidence, how
many more workers need to be included in the sample to provide a confidence interval
with length 4 (i.e., the margin of error being 2)?
Chapter 9
3) Given the following null and alternative hypothesis test:
Họ : µ > 210
НА: и < 210
If a = 0.025 with n = 25, s = 9 , and x = 208.2, then
a. state the decision rule in terms of the critical value of test statistic.
b. calculate the value of the test statistic.
c. state the conclusion.
4) In the following null and alternative hypotheses
Ho : µ =68 and H A:
+ 68 , a =0.02 , x = 69.02 , o = 5.4 and n=40
a. State the decision rule in terms of the critical value of the test statistic.
b. State the calculated value of the test statistic.
c. State the conclusion.
d. Compute the p - value. Does its value support the claimed obtained in part a justify.
1
5) A company claims that the coffee contents in a bottle of coffee are at least 200 grams. To
test their claim, a random sample of 20 bottles was taken and it was found that the mean
sample were 190 grams with a sample standard deviation of 5 grams. At
Ho : µ > 200 against the alternative hypothesis HA : µ <
contents in the
0.01 level of significance, test
200. Can we conclude that the company's claim is justified?

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