It is desired to test, at a significance level of 5%, the hypothesis that the average height of men aged 18 or over in a country is equal to or greater than 1.75. Assuming that the standard deviation of the heights in the population is 4, test this hypothesis against the alternative that it is smaller, with a sample of n=19 randomly selected men, whose heights 1.65, 1.75, 1.63, 1.81, 1.74 , 1.59, 1.73, 1.66, 1.65, 1.83, 1.77, 1.74, 1.64, 1.69, 1.72, 1.66, 1.55, 1.60, 1.62 H0: µ≥1.75

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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It is desired to test, at a significance level of 5%, the hypothesis that the average height of men aged 18 or over in a country is equal to or greater than 1.75. Assuming that the standard deviation of the heights in the population is 4, test this hypothesis against the alternative that it is smaller, with a sample of n=19 randomly selected men, whose heights 1.65, 1.75, 1.63, 1.81, 1.74 , 1.59, 1.73, 1.66, 1.65, 1.83, 1.77, 1.74, 1.64, 1.69, 1.72, 1.66, 1.55, 1.60, 1.62 H0: µ≥1.75

The measurements of the number of cigarettes smoked per day by a group of ten smokers are as follows: 5, 10, 3, 4, 5, 8, 20, 4, 1, 10. Carry out the hypothesis test H0 : µ= 10 vs H1 : µ < 10, assuming that the data come from a random sample from a normal population with σ = 1.2. Use a 5% significance level. 227. H0 is accepted. 228. H0 is rejected.

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