WILL UPVOTE!! PLEASE ANSWER THE FOLLOWING ASAP!!

1. A herd of 1,500 cattle was fed a special highprotein grain for a month. A random sample of 35 were weighed and had gained an average of 6.7 kilos. If the standard deviation of weight gain for the entire herd is 7.1kilos, test the hypothesis that the average weight gain per steer for the month was more than 5 kilos.

Steps in Hypothesis Testing

A. Formulate Ho and Ha.

B. Determine the test to be used.Use z-test if population standard deviation (n30) is given and t-test if the sample standard deviation (n<30) is given.

C. Set the significance level. Determine the tabulated or critical value (TV) for the test. For z-test, use the table below. 0.01 0.05 0.10 0.025

One-tailed 2.33 1.645 1.28 1.96

Two-tailed 2.58 1.96 1.645 2.33

For t-test,

Single sample, df = n - 1

Two samples, df = n1 + n2 - 2 ...then look for the tabular value from the table of t-distribution.

Computation

A. Compare computed value (CV) with the tabulated or critical value (TV). Then, make a decision.

Reject Ho and Accept Ha if |CV| |TV|.

Accept Ho and Reject Ha if |CV| < |TV|.

B. Conclusion.

2. In a certain university, a vocabulary test is known to have a mean score of 68 and a standard deviation of 13. A class of 40 students takes the test and has a mean score of 65. Is the class typical of others who have taken the test? Assume a significance level of alpha = 0.05.

A. Formulate Ho and Ha.

B. Determine the test to be used.

C. Set the significance level. Determine the tabulated or critical value (TV) for the test.

D. Computation

E. Compare computed value (CV) with the tabulated or critical value (TV).

F. Conclusion

3. A company wants to test the claim that their batteries last more than 40 hours. Using a simple random sample of 15 batteries yielded a mean of 44.9 hours, with a standard deviation of 8.9 hours. Test this claim using a significance level of 0.05. Formulate Ho and Ha.

A. Determine the test to be used.

B. Set the significance level. Determine the tabulated or critical value (TV) for the test.

C. Computation

D. Compare computed value (CV) with the tabulated or critical value (TV).

E. Conclusion

4. Suppose the average annual rainfall for the local area was previously known to be 8 inches. A local meteorologist believes there was above average rainfall from 1997 thru 2001 and argues that the average annual rainfall during this period was significantly different from the overall average annual rainfall of 8 inches. The average annual rainfall recorded from 1997 thru 2001 are given below.

8 5

5 6 7

SD =1.30 Sample Mean= 6.2 N = 5

A. Formulate Ho and Ha.

B. Determine the test to be used.

C. Set the significance level. Determine the tabulated or critical value (TV) for the test.

D. Computation

E. Compare computed value (CV) with the tabulated or critical value (TV).

F. Conclusion