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In the past, a chemical plant has a stated goal of producing an average of 1100 pounds of chemical p

Mathematics
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a. Give the appropriate null and alternative hypotheses.
====>The null hypothesis would be: H0 : E(Y ) = 1100. The alternative hypothesis would be H1 : E(Y ) 6= 1100
b. If Z is used as a test statistic, determine the rejection region corresponding to a level of significance of alpha=.05
c. Do the data provide sufficient evidence to indicate a drop in average daily production?

Mar 30th, 2015

a. Give the appropriate null and alternative hypotheses. Our null hypothesis would be: H0 : E(Y ) = 1100. The alternative hypothesis would be H1 : E(Y ) 6 not equal to1100 
b. Compute the necessary p-value to test the hypothesis using the available data. 
From the information provided, we have that SE(Y¯ ) = sY √ n = 340 √ 260 = 21.08 
(3) This can, in turn, be used to compute p − value  which is = 0.0578.
 In this case, the results would suggest rejecting the null hypothesis using a 90% confidence level, but not at the 95% confidence level. 2 c. Construct a 90% confidence interval for the sample mean.  = {1060 ± 1.64(21.08)} = {1025.4, 1094.6}

Mar 30th, 2015

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