An international agricultural company has developed a new cattle feeding ration

Question

An international agricultural company has developed a new cattle feeding ration that is advertised to produce on average more than 52 pounds of weight gain in 30 days. Use the following data and Excel output to address the following questions 4A 3 Sample Data t test 72 71 5262 614245 hyp mean (u) sample size sample mean 53.16667 AVERAGE(AS:D10) std dev effect size0.1131ABS(G5-G7)/G8 24 COUNTIAS:D10) 10.31532 STDEV(AS:D10) 10 std error 2.105606G8/SORT(G6) 12 13 t-stat p-value alpha 231 ! 0.554077ABS(G7-GS)/G11 0.292437TDIST(G13,612,G10) 15 0.05 nd -F(G14G15,"yes","no 17 19 t-crit x-crit real mean 153.166671 1G7 1.713872 TINVIG15 2.612) 55.60874 GS+G20 G11 21 23 beta power 1.159795(G21-G22)/611 0.8709851 ·T DIST(G23,G12,TRUE) 0.129015 1-G24 What is the parameter of interest? What is the point estimate for the mean weight gain in 30 days on this ration? What is the estimated standard error of the point estimate for the mean weight gain in 30 days on this ration? What is the set of hypotheses that would be used if the null hypothesis tested is that the mean weight gain is equal to 52 pounds versus and alternative that the mean weight gain exceeds 52? 1. 2. 3. 4. 5. What is the value of the test statistic to test the null hypothesis that mean weight gain is 6. What is the name of the distribution of the test statistic in this case if the null hypothesis 7. What value must the test statistic be more than in order to reject the null hypothesis at 8. What is the value of the p-value in this case? equal to 52 pounds? is true? the 5% significance level? . What is the decision about the null hypothesis in this case with a significance level of 5%? Answer with a sentence 10. What is the conclusion about whether it is appropriate to advertise that the average weight gain in 30 days on the ration exceeds 52 pounds? Answer with a sentence.

Explanation / Answer

1. Mean

2. point estimate = 53.16667

3. std. dev. = 10.3153

4.
H0: mu <= 52
H1: mu > 52

5. test statistic, t = 0.554

6. T-distribution

7. critical value of t = 1.7138

8. p-value = 0.2924

9. Failed to reject the null hypothesis

10. It is not appropriate to advertise that the average weight gain in 30 days of the ration exceeds 52 pounds.

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