A sample of size n=150 is to be used to test the following hypothesis at the level of significance 0.02. HO: mu = 8.3 versus Ha: mu is not equal to 8.3, where mu is the true average weight of a newborn American baby. Give the appropriate rejection region. Let T (bar{X}- mu) / (S/sqrt{n}) where, bar{X} = sample mean and sqrt{n} is the square root of n. OT> 2.575 or T< -2.575 OT> 2.325 or T< -2.325 OT> 1.96 or T< -1.96

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A sample of size n=150 is to be used to test the following hypothesis at the level of significance
0.02.
HO: mu = 8.3 versus Ha: mu is not equal to 8.3,
where mu is the true average weight of a newborn American baby. Give the appropriate rejection
region.
Let T = (bar{X}- mu) / (S/sqrt{n})
where, bar{X} = sample mean and sqrt{n} is the square root of n.
OT> 2.575 or T< -2.575
OT> 2.325 or T < -2.325
OT> 1.96 or T< -1.96
Transcribed Image Text:A sample of size n=150 is to be used to test the following hypothesis at the level of significance 0.02. HO: mu = 8.3 versus Ha: mu is not equal to 8.3, where mu is the true average weight of a newborn American baby. Give the appropriate rejection region. Let T = (bar{X}- mu) / (S/sqrt{n}) where, bar{X} = sample mean and sqrt{n} is the square root of n. OT> 2.575 or T< -2.575 OT> 2.325 or T < -2.325 OT> 1.96 or T< -1.96
Historically, the average time it takes Klm to swim the 200 meter butterfly is 148.4 seconds. Kim
would like to know if her average time has changed. She records her time on 50 randomly selected
occasions and computes the mean to be 147.8 with a standard deviation of 2.3 seconds. Determine
the null and alternative hypothesis, and your conclusion at the level of significance .01.
O HO: mu = 148.4 v.s. Ha: mu is not equal to 148.4
T= (bar{X} - mu) / (S/sqrt{n})
Since the observed value of the test statistics T_{obs} = -1.845 and |T_{obs}| < 2.575, we cannot reject HO.
O HO: mu = 148.4 v.s. Ha: mu > 148.4
T= (bar{X} - mu) / (S/sqrt{n})
Since the observed value of the test statistics T_{obs} = -1.845 and T_{obs} < 2.325, we cannot reject HO.
O HO: mu = 148.4 v.s. Ha: mu < 148.4
T = (bar{X} - mu) / (S/sqrt{n})
Since the observed value of the test statistics T_{obs} = -1.845 and T_{obs} > - 2.325, we cannot reject HO.
Transcribed Image Text:Historically, the average time it takes Klm to swim the 200 meter butterfly is 148.4 seconds. Kim would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 with a standard deviation of 2.3 seconds. Determine the null and alternative hypothesis, and your conclusion at the level of significance .01. O HO: mu = 148.4 v.s. Ha: mu is not equal to 148.4 T= (bar{X} - mu) / (S/sqrt{n}) Since the observed value of the test statistics T_{obs} = -1.845 and |T_{obs}| < 2.575, we cannot reject HO. O HO: mu = 148.4 v.s. Ha: mu > 148.4 T= (bar{X} - mu) / (S/sqrt{n}) Since the observed value of the test statistics T_{obs} = -1.845 and T_{obs} < 2.325, we cannot reject HO. O HO: mu = 148.4 v.s. Ha: mu < 148.4 T = (bar{X} - mu) / (S/sqrt{n}) Since the observed value of the test statistics T_{obs} = -1.845 and T_{obs} > - 2.325, we cannot reject HO.
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