Hypothesis Tests: 11. The average weight for males is less than168 pounds. A sam
ID: 3362226 • 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 P-value -/5 Reject or Fail to reject Ho? Rejeot Conclusion: There is evidence to support the clhim thod ave vag weight fov moples is less Hhrn 16 #1 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 5 After 4 Ho: P-value 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. -001 Ho: P-value Reject or Fail to reject Ho?Explanation / Answer
Question 11.
Given that,
population mean(u)=168
sample mean, x =159
standard deviation, s =15
number (n)=64
null, Ho: =168
alternate, H1: <168
level of significance, = 0.05
from standard normal table,left tailed t /2 =1.669
since our test is left-tailed
reject Ho, if to < -1.669
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =159-168/(15/sqrt(64))
to =-4.8
| to | =4.8
critical value
the value of |t | with n-1 = 63 d.f is 1.669
we got |to| =4.8 & | t | =1.669
make decision
hence value of | to | > | t | and here we reject Ho
p-value :left tail - Ha : ( p < -4.8 ) = 0.00001
hence value of p0.05 > 0.00001,here we reject Ho
ANSWERS
---------------
null, Ho: =168
alternate, H1: <168
test statistic: -4.8
critical value: -1.669
decision: reject Ho
p-value: 0.00001
we have evidence to say that avg weight for males is less than 168
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