1. Compute the value of the test statistic. Round your final answer to four deci
ID: 3220564 • Letter: 1
Question
1. Compute the value of the test statistic. Round your final answer to four decimal places.
2. .Find the p-value. Round your final answer to four decimal places. (2 points)
Hint: Draw a picture and then use the pt( ) function in R.
3. Select the correct conclusion for the hypothesis test. (2 points)
A.Since the p-value = 0.0011 < = 0.05 reject H0, We have sufficient evidence to conclude that true mean tensile strength meets the specifications.
B.Since the p-value = ______ > = 0.05fail to reject H0, We do not have sufficient evidence to conclude that true mean tensile strength meets the specifications.
C.Since the p-value = ______ < = 0.05 fail to reject H0, We do not have sufficient evidence to conclude that true mean tensile strength meets the specifications.
D.Since the p-value = ______ > = 0.05, reject H0, We have sufficient evidence to conclude that true mean tensile strength meets the specifications.
Specifications call for the true mean tensile strength u of paper used in a certain packaging application to be greater than 50 psi. Anew type of paper is being considered for this application. The tensile strength is measured for a simple random sample of 110 specimens of this paper. The mean strength was 51.2 psi and the standard deviation was 4.0 psi. At the 5% significance level, do we have enough evidence to conclude that the true mean tensile strength for the new type of paper meets the specifications? Source: Naidi, M. (2008). Statistics for Engineers and Scientists. New York, NY: McGraw-Hill.Explanation / Answer
here std error =std deviation/(n)1/2 =0.3814
also test stat t=(X-mean)/std error =3.1464
for above test stat and 109 degree of freedom p value =0.0011
A.Since the p-value = 0.0011 < = 0.05 reject H0, We have sufficient evidence to conclude that true mean tensile strength meets the specifications.
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