Perform a hypothesis testing for one mean using t distribution
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Conduct a one-tailed hypothesis test given the information below.
A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 116 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 117.333 and a standard deviation of 2.456.
a) At the 0.05 significance level, what is the critical value?
b) State the null and alternative hypothesis.
c) Draw a diagram.
d) Provide the computation of the test statistic.
e) State your decision in terms of the null hypothesis.
f) That is show the 5 steps of hypothesis testing
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a) At the 0.05 significance level, what is the critical value?
At the 0.05 level with degrees of freedom=9-1=8, the critical value is 1.86
b) State the null and alternative hypothesis.
Let u be mean shelf life of a line of cake mixes. So null hypothesis is u=116 and alternative hypothesis is u>116 ...
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