Thank you so very much for answering these two problems! The topic is statistica

Question

Thank you so very much for answering these two problems! The topic is statistical hypotheses.

93. Bricks. A purchaser of bricks suspects that the quality of bricks is deterio- rating. From past experience, the mean crushing strength of such bricks is 400 pounds. A sample of n = 100 bricks yielded a mean of 395 pounds and standard deviation of 20 pounds. (a) Test the hypothesis that the mean quality has not changed against the alternative that it has deteriorated. Choose .05. (b) What is the p-value for the test in (a) (e) Assume that the producer of the bricks contested your findings in (a) and (b). Their company suggested constructing the 95% confidence interval for with a total length of no more than 4. what sample size is needed to construct such a confidence interval? 94 Soybeans. According to advertisements, a strain of soybeans planted on oil prepared with a specific fertilizer treatment has a mean yield of 500 bushels per acre. Fifty farmers who belong to a cooperative plant the soy- beans. Each uses a 40-acre plot and records the mean yield per acre. The mean and variance for the sample of 50 farms are 485 and s10045. Use the p-value for this test to determine whether the data provide suffi- cient evidence to indicate that the mean yield for the soybeans is different from that advertised

Explanation / Answer

9.4.

Null Hypotheisi : There is no sufficient evidance to indicate that mean yeild for soybeans is different from advetised.

Alternative Hypothesis : There is no sufficient evidance to indicate that mean yeild for soybeans is different from advetised.

Usining Minitab Output:

One-Sample T

Test of mu = 500 vs not = 500

N Mean StDev SE Mean 95% CI T-test statistic P-value
50 485.0 100.2 14.2 (456.5, 513.5) -1.06 0.295

P-value > 0.05 we do not reject the null hypothesis so we conclude that there is no sufficient evidance to indicate that mean yeild for sobeans is differnt from advetised.

Hope this will be helpful. Thanks and God Bless you :-)

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