a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?b. Identify the test statistic.c. identify the p valued. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.15,487 25,625 1419 764618,324 15,792 13,708 26,48524,068 13,703 18,072 18,179 13,315 17,575 16,113 18,072MaleFemalea. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spokenby the female. What are the null and alternative hypotheses for the hypothesis test?Ho: Pdword(s)word(s)H₁: Hd(Type integers or decimals. Do not round.)

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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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a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.

In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?

b. Identify the test statistic.

c. identify the p value

d. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?

Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
15,487 25,625 1419 7646
18,324 15,792 13,708 26,485
24,068 13,703 18,072 18,179 13,315 17,575 16,113 18,072
Male
Female
a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.
In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken
by the female. What are the null and alternative hypotheses for the hypothesis test?
Ho: Pd
word(s)
word(s)
H₁: Hd
(Type integers or decimals. Do not round.)

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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Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?

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