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Name: Suppose a researcher wants to investigate the mean number of hours wor
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Description: Suppose a researcher wants to investigate the mean number of hours worked per week by female in this Caribbean island. It is believed that women work no more than 40 hours per week. Assuming the respondents in the labour force dataset represents a ra

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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Suppose a researcher wants to investigate the mean number of hours worked per week by female in this Caribbean island. It is believed that women work no more than 40 hours per week. Assuming the respondents in the labour force dataset represents a random sample of respondents in this country, used the statistics calculated (in the image attached) to test this claim made about women in this country

Make sure to state the null and alternative hypotheses both in words and statistical notation

Formulate decision rules

Calculate the appropriate test statistics making sure to indicate the formula that you are using

State the conclusion in the context of this situation

table(rsession$SEX, rsession$Hours.worked.per.week)

Number of hours worked	16	18	20	24	30	32	35	36	40	45	46	48	50	56	60	65	70	72	99
Female	1	1	1	4	0	2	0	1	75	7	2	9	7	2	10	0	0	3	0
Male	3	0	1	1	5	2	1	0	49	4	0	10	4	0	8	1	1	1	3

mean(rsession$Hours.worked.per.week)

43.43379 female

44.09574 male

sd(rsession$Hours.worked.per.week)

9.270787 female

14.214992 male

5とこしん
oc - 4. a SS 708
S = 1,22 6018
df = m = RI8
95%. Cz,
= 1.971
(オ be)
4.2 SS 708 ± 1.971 (1. 226018)
%3D
= 4.2 S57081 0. 1 63e9I
- (4.09 2417, 4.418999)

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