I NEED THE ANSWERS FOR ONLY PARTS E,F,G,H,I,J,K,L PLEASE USE R SCRIPT FOR PART L
ID: 3317846 • Letter: I
Question
I NEED THE ANSWERS FOR ONLY PARTS E,F,G,H,I,J,K,LPLEASE USE R SCRIPT FOR PART L
For many years the standard for the mean weight of a newborn African Elephant has been thought to be 234 pounds. Elephant weights are normally distributed. Has the average weight decreased due to environmental stress? That is the question. Angel Sonny, the elephant ranger in Kruger National Park, randomly selected 15 newborn African elephants and weighed them. The weights in pounds were as follows:
187, 251, 242, 241, 183, 187, 194, 280, 238, 191, 251, 229, 275, 178, 249
Let the true (unknown) mean newborn elephant weight be with a true (unknown) standard deviation of . We want to see if < 234 pounds.
The null hypothesis is H0:=234 . We will test this against the alternative Ha . If we conclude that is < 234 then Angel will get a huge opportunity to reverse things. This opportunity should be well-deserved (not just lucky) so we do not want to reject H0 unless we are pretty sure that < 234. Let x = the sample mean and s = the sample standard deviation. We want to test at the 4% level. For many years the standard for the mean weight of a newborn African Elephant has been thought to be 234 pounds. Elephant weights are normally distributed. Has the average weight decreased due to environmental stress? That is the question. Angel Sonny, the elephant ranger in Kruger National Park, randomly selected 15 newborn African elephants and weighed them. The weights in pounds were as follows:
187, 251, 242, 241, 183, 187, 194, 280, 238, 191, 251, 229, 275, 178, 249
Let the true (unknown) mean newborn elephant weight be with a true (unknown) standard deviation of . We want to see if < 234 pounds.
The null hypothesis is H0:=234 . We will test this against the alternative Ha . If we conclude that is < 234 then Angel will get a huge opportunity to reverse things. This opportunity should be well-deserved (not just lucky) so we do not want to reject H0 unless we are pretty sure that < 234. Let x = the sample mean and s = the sample standard deviation. We want to test at the 4% level. For many years the standard for the mean weight of a newborn African Elephant has been thought to be 234 pounds. Elephant weights are normally distributed. Has the average weight decreased due to environmental stress? That is the question. Angel Sonny, the elephant ranger in Kruger National Park, randomly selected 15 newborn African elephants and weighed them. The weights in pounds were as follows 187, 251, 242, 241, 183, 187, 194, 280, 238, 191, 251, 229, 275, 178, 249 Let the true (unknown) mean newborn elephant weight be with a true (unknown) standard deviation of , we want to see if
Explanation / Answer
E)
DF = 15 - 1 = 14
F)
This is left tailed test, critical value lies to the left of the mean.
t* = -1.8875
G)
T < t*
H)
p-value = 0.1699
I)
Null hypothesis rejected - NO
J)
Number of time type I error would occur = 10000*0.04 = 400 times
K)
Sample Mean 225.0666667 Sample std. dev. 35.01115469Related Questions
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