Let X be the hardness measurement of a certain type of iron. A random sample of size n=40 is taken and it is found that the sample mean is 172.3 and sample variance is 100. Test the null hypothesis Ho : μ = 170 H : μ > 170 at the 5% level of significance. The value of the test statistic and the decision are 1.45; do not reject the null hypothesis 11.25; reject the null hypothesis 0.025; do not reject the null hypothesis 1.125; do not reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Let X be the hardness measurement of a certain type of iron. A random sample of
size n=40 is taken and it is found that the sample mean is 172.3 and sample variance
is 100. Test the null hypothesis
Ho: μ = 170
H : μ > 170
at the 5% level of significance. The value of the test statistic and the decision are
1.45; do not reject the null hypothesis
11.25; reject the null hypothesis
0.025; do not reject the null hypothesis
1.125; do not reject the null hypothesis
Transcribed Image Text:Let X be the hardness measurement of a certain type of iron. A random sample of size n=40 is taken and it is found that the sample mean is 172.3 and sample variance is 100. Test the null hypothesis Ho: μ = 170 H : μ > 170 at the 5% level of significance. The value of the test statistic and the decision are 1.45; do not reject the null hypothesis 11.25; reject the null hypothesis 0.025; do not reject the null hypothesis 1.125; do not reject the null hypothesis
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