Answered: According to a research study, parents…

Name: According to a research study, parents with young children slept 6.4 h
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Description: According to a research study, parents with young children slept 6.4 hours each night last year, on average. A random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. This data has

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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According to a research study, parents with young children slept 6.4 hours each night last year, on average. A random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. This data has a sample standard deviation of 0.9. (Assume that the scores are normally distributed.)

Researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year.

The null and alternative hypotheses are H0:μ=6.4 and Ha:μ>6.4, which is a right-tailed test.

The test statistic is determined to be t0=1.89

Using the partial t-table below, determine the critical value(s). If there is only one critical value, leave the second answer box blank.

df	t0.10	t0.05	t0.025	t0.01	t0.005
...	…	…	…	…	…
14	1.345	1.761	2.145	2.624	2.977
15	1.341	1.753	2.131	2.602	2.947
16	1.337	1.746	2.120	2.583	2.921
17	1.333	1.740	2.110	2.567	2.898
18	1.330	1.734	2.101	2.552	2.878

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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