Hypothesis Tests: 11. The average weight for males is less than168 pounds. A sam
ID: 3360960 • Letter: H
Question
Hypothesis Tests: 11. The average weight for males is less than168 pounds. A sample of 64 males had an average weight of 159 pounds with a standard deviation of 15 pounds. Test this hypothesis, -.05 Ho: P-value H: Reject or Fail to reject Ho? Conclusion: 12. A group of ten students were asked how many times a week they eat fast food. They were then shown a movie that linked fast food to obesity. Afterwards they were asked how many times a week they plan to eat fast food. Assuming the differences are normally distributed, did their preferences change? Test the hypothesis. -01 Before ! After 14 13 16 14 10 2 11 16--12-13 85 327 43 Ho: P-value Ha: Reject or Fail to reject Ho? Conclusion: 13. Two army officers made a bet that their platoon could do more pushups. First platoon had an average number of 75 with a standard deviation of 6. Second platoon had a mean 71 with a standard deviation of 8. There are 50 men in each platoon. Test the hypothesis that first platoon did better. 0.01 Ho: P-value Ha: Reject or Fail to reject Ho? Conclusion:Explanation / Answer
Solution:-
11)
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: > 168
Alternative hypothesis: < 168
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
SE = s / sqrt(n)
S.E = 1.875
DF = n - 1
D.F = 63
t = (x - ) / SE
t = - 4.8
where s is the standard deviation of the sample, x is the sample mean, is the hypothesized population mean, and n is the sample size.
The observed sample mean produced a t statistic test statistic of - 4.8
Thus the P-value in this analysis is less than 0.0001
Interpret results. Since the P-value (less than 0.0001) is less than the significance level (0.05), we have to reject the null hypothesis.
From the above test we have sufficient evidence in the favor of the claim that weight for males is less than 168.
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