The lab manual says that repeated measurements will vary according to a Normal distribution with standard deviation o = 0.15. (This standard deviation shows how precise the measurement process is.) The mean µ of the distribution of measurements is the true specific gravity. (a) The lab manual asks for a 95% confidence interval for the true specific gravity. Your friend doesn't know how to do this. Do it for her. (b) Now explain to your friend in simple language what "95% confidence" means. (c) What critical value from the Normal table would you use if you wanted 80% confidence instead of 95% confidence? Would the 80% confidence interval be wider or narrower than your 95% confidence from(a)? (Do not actually compute the 80% confidence interval.) (d) The lab manual also asks whether the data show convincingly that the true specific gravity is less than 3.9. State the null and alternative hypotheses used to answer this question. Then, calculate the test statistic, and find its P-value.

The lab manual says that repeated measurements will vary according to a Normal distribution with standard deviation o = 0.15. (This standard deviation shows how precise the measurement process is.) The mean µ of the distribution of measurements is the true specific gravity. (a) The lab manual asks for a 95% confidence interval for the true specific gravity. Your friend doesn't know how to do this. Do it for her. (b) Now explain to your friend in simple language what "95% confidence" means. (c) What critical value from the Normal table would you use if you wanted 80% confidence instead of 95% confidence? Would the 80% confidence interval be wider or narrower than your 95% confidence from(a)? (Do not actually compute the 80% confidence interval.) (d) The lab manual also asks whether the data show convincingly that the true specific gravity is less than 3.9. State the null and alternative hypotheses used to answer this question. Then, calculate the test statistic, and find its P-value.

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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

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Statistically Graph appropriately with each problem.

The lab manual says that repeated measurements will vary according to a
Normal distribution with standard deviation o = 0.15. (This standard deviation
shows how precise the measurement process is.) The mean µ of the distribution
of measurements is the true specific gravity.
(a) The lab manual asks for a 95% confidence interval for the true specific
gravity. Your friend doesn't know how to do this. Do it for her.
(b) Now explain to your friend in simple language what “95% confidence"
means.
(c) What critical value from the Normal table would you use if you wanted
80% confidence instead of 95% confidence? Would the 80% confidence interval
be wider or narrower than your 95% confidence from(a)? (Do not actually
compute the 80% confidence interval.)
(d) The lab manual also asks whether the data show convincingly that the
true specific gravity is less than 3.9. State the null and alternative hypotheses
used to answer this question. Then, calculate the test statistic, and find its
P-value.

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