I have also posted part a b and c please answer those too
D. Refer to the test of part A, and assume the significance level is 0.07 and that in reality (but unknown to the researcher) the true population mean is mu =3584 along with population standard deviation sigma =119. This means that the alternative hypothesis is true, but that this is unknown to the researcher. If a NEW sample of size 78 is to be taken, what is the probability the test will fail to detect that the alternative hypothesis is true? (Since the event is one of non-rejection, this it is a "beta" value. In this case, the event would also be type 2 error.)
(answer accurate to four decimal places.)
E. Refer to the test of part B and assume the significance level is 0.06 and that in reality (but unknown to the researcher) the true population mean is mu =3583 along with population standard deviation sigma =119. This means that the null hypothesis is true, but that this is unknown to the researcher. If a NEW sample of size 78 is to be taken, what is the probability the test will (incorrectly) decide that the alternative hypothesis is true? (Since the event is one of "rejection", this is a "power" value. In this case, the event would be a type 1 error, and therefore the answer MUST be less than 0.06 , by definition.)
(answer accurate to
four decimal places.)
F. Refer to the test of part B , and assume the significance level is 0.075 and that in reality (but unknown to the researcher) the true population mean is mu =3610 along with population standard deviation sigma =119. This means that the null hypothesis is true, but that this is unknown to the researcher. If a NEW sample of size 78 is to be taken, what is the probability the test will fail to detect the alternative hypothesis is true? (Since the event is one of nonrejection, this it is a "beta" value. In this case, the event would also be type 2 error.)
(answer accurate to
D.Refer to the test of part A, and assume the significance level is 0.07 and that in reality (but unknown to the researcher) the true population mean is = 3584 along with population standard deviation = 119. This means that the alternative hypothesis is true, but that this is unknown to the researcher. If a NEW sample of size 78 is to be taken,what is the probability the test will fail to detect that the alternative hypothesis is true? (Since the event is one of non-rejection, this it is a "beta" value. In this case, the event would also be type 2 error.)
(answer accurate to
four decimal places.
E.Refer to the test of part B and assume the significance level is 0.06 and that in reality (but unknown to the researcher) the true population mean is = 3583 along with population standard deviation = 119. This means that the null hypothesis is true, but that this is unknown to the researcher. If a NEw sample of size 78 is to be taken, what is the probability the test will(incorrectly) decide that the alternative hypothesis is true? (Since the event is one of "rejection", this is a "power"value. In this case, the event would be a type 1 error, and therefore the answer MUST be less than 0.06,by definition.)
(answer accurate to
four decimal places.)
F. Refer to the test of part B, and assume the significance level is 0.075 and that in reality (but unknown to the researcher) the true population mean is= 3610 along with population standard deviation = 119.This means that the null hypothesis is true, but that this is unknown to the researcher.If a NEw sample of size 78 is to be taken,what is the probability the test will fail to detect the alternative hypothesis is true? (Since the event is one of non rejection, this it is a "beta" value. In this case, the event would also be type 2 error.)
(answer accurate to