for cosmetic produc a survey to 40 teena- cosmetic products i= 05

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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W3 1 and 2 Handwritten
Solve the following using the five-step hypothesis testing procedure.
1. A cosmetics company claims that teenage ladies consume an average of 150
Php monthly for cosmetic products. In order to verify this claim, a researcher
conducted a survey to 40 teenage ladies and found that their mean monthly
expense for cosmetic products is 146 Php with standard deviation of 12 Php
Using a = 0.05, test whether the companies claim is realistic or not?
2. In a certain city, a school administrator hypothesized that students enroll in
schools within 5 km from their homes. To check this claim, you asked 30
students from the said city and you found that the mean distance between their
schools and homes is 5.3 km with standard deviation of 0.2 km. is the true
mean greater that the hypothesized mean? Use a = 0.05.
3. It is claimed that the average weight of babies at birth is 3.4 kg. The average
weight of a random sample of 30 newly born babies was determined. It was
found out that the average weight was 3.1 kg. Is there a reason to believe that
the average weight of babies at birth is not 3.4 kg? Assume that the
population standard deviation is 1.1 kg. Use 0.05 level of significance.
4. It is claimed that the average monthly income of chemical engineers last year
was P27,900. A random sample of 35 chemical engineers is selected and it is
found out that the average monthly salary is P28,000. Using 0.01 level of
significance, can it be concluded that there is an increase in the average
monthly income of chemical engineers? Assume that the population standard
deviation is P250.50.
Transcribed Image Text:Solve the following using the five-step hypothesis testing procedure. 1. A cosmetics company claims that teenage ladies consume an average of 150 Php monthly for cosmetic products. In order to verify this claim, a researcher conducted a survey to 40 teenage ladies and found that their mean monthly expense for cosmetic products is 146 Php with standard deviation of 12 Php Using a = 0.05, test whether the companies claim is realistic or not? 2. In a certain city, a school administrator hypothesized that students enroll in schools within 5 km from their homes. To check this claim, you asked 30 students from the said city and you found that the mean distance between their schools and homes is 5.3 km with standard deviation of 0.2 km. is the true mean greater that the hypothesized mean? Use a = 0.05. 3. It is claimed that the average weight of babies at birth is 3.4 kg. The average weight of a random sample of 30 newly born babies was determined. It was found out that the average weight was 3.1 kg. Is there a reason to believe that the average weight of babies at birth is not 3.4 kg? Assume that the population standard deviation is 1.1 kg. Use 0.05 level of significance. 4. It is claimed that the average monthly income of chemical engineers last year was P27,900. A random sample of 35 chemical engineers is selected and it is found out that the average monthly salary is P28,000. Using 0.01 level of significance, can it be concluded that there is an increase in the average monthly income of chemical engineers? Assume that the population standard deviation is P250.50.
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