According to a research study, parents with young children slept 7 hours each night last year, on average. A random sample of 15 parents with young children was surveyed and the mean amount of time per night each parent slept was 7.5. This data has a sample standard deviation of 0.8. (Assume that the scores are normally distributed.) Researchers conduct a one-mean hypothesis at the 1% 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=7 and Ha:μ>7, which is a right-tailed test. Determine the test statistic, rounded to two decimal places. According to a research study, parents with young children slept 7 hours each night last year, on average. A random sample of 15 parents with young children was surveyed, and the mean amount of time per night each parent slept was 7.5 hours. This data has a sample standard deviation of 0.8. (Assume that the scores are normally distributed.)Researchers conduct a one-mean hypothesis test at the 1% 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 \( H_0: \mu = 7 \) and \( H_a: \mu > 7 \), which is a right-tailed test.Determine the test statistic, rounded to two decimal places.

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Answered: According to a research study, parents…

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 7 hours each night last year, on average. A random sample of 15 parents with young children was surveyed and the mean amount of time per night each parent slept was 7.5. This data has a sample standard deviation of 0.8. (Assume that the scores are normally distributed.)

Researchers conduct a one-mean hypothesis at the 1% 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=7 and Ha:μ>7, which is a right-tailed test.

Determine the test statistic, rounded to two decimal places.

According to a research study, parents with young children slept 7 hours each night last year, on average. A random sample of 15 parents with young children was surveyed, and the mean amount of time per night each parent slept was 7.5 hours. This data has a sample standard deviation of 0.8. (Assume that the scores are normally distributed.)

Researchers conduct a one-mean hypothesis test at the 1% 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 \( H_0: \mu = 7 \) and \( H_a: \mu > 7 \), which is a right-tailed test.

Determine the test statistic, rounded to two decimal places.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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