SOLUTION: 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 216 days. After a revised mix has been deve

Question 230204: 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 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 218 and 218, At the 0.025 level, has the shelf live of the cake mix increased?
A. Yes, because computed t is greater than the critical value.
B. Yes, because computed t is lss than the critical value.
C. No, because computed t lies in the region of acceptance.
D. No, because 217.24 is quite close to 216.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 218 and 218, At the 0.025 level, has the shelf live of the cake mix increased?
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I ran a Ttest on a TI calculator and got the following results:
test statistic: t = 2.7584
p-value = 0.0141
Since the p-value is less that 2.5%, reject Ho.
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Ans: A
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Cheers,
Stan H.
A. Yes, because computed t is greater than the critical value.
B. Yes, because computed t is less than the critical value.
C. No, because computed t lies in the region of acceptance.
D. No, because 217.24 is quite close to 216.

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