The recommended dietary allowance (RDA) of iron for adult females under the age of 51 is 21 mg per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 are, on average, getting less than the RDA of 21 mg of iron. The null and alternative hypotheses are Ho: H=21 mg, Ha: u<21 mg.
The recommended dietary allowance (RDA) of iron for adult females under the age of 51 is 21 mg per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 are, on average, getting less than the RDA of 21 mg of iron. The null and alternative hypotheses are Ho: H=21 mg, Ha: u<21 mg.
MATLAB: An Introduction with Applications
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Transcribed Image Text:The recommended dietary allowance (RDA) of iron for adult females under the age of 51 is 21 mg per day. A hypothesis test is
to be performed to decide whether adult females under the age of 51 are, on average, getting less than the RDA of 21 mg of
iron. The null and alternative hypotheses are Ho: H= 21 mg, Ha: H<21 mg.
a. Explain what it would mean to make a type I error.
O A. Atype I error would occur if in fact u =21 mg, but the results of the sampling lead to the conclusion that u<21 mg.
O B. Atype l error would occur if in fact u = 21 mg, but the results of the sampling fail to lead to the conclusion that
H<21 mg.
O C. Atype l error would occur if in fact u< 21 mg, but the results of the sampling fail to lead to the conclusion that
H= 21 mg.
Iter
b. Explain what it would mean to make a type Il error.
O A. A type Il error would occur if in fact u <21 mg, but the results of the sampling lead to the conclusion that u<21 mg.
O B. Atype Il error would occur if in fact u = 21 mg, but the results of the sampling lead to the conclusion that µ<21 mg.
O C. Atype Il error would occur if in fact u<21 mg, but the results of the sampling fail to lead to the conclusion that
H<21 mg.
c. Explain what it would mean to make a correct decision.
A. A correct decision would occur if u = 21 mg and the results of the sampling lead to the rejection of that fact; or if u<21
mg and the results of the sampling do not lead to that conclusion.
O B. A correct decision would occur if u = 21 mg and the results of the sampling do not lead to the rejection of that fact; or if
u<21 mg and the results of the sampling lead to that conclusion.
O C. A correct decision would occur if u+21 mg and the results of the sampling lead to the rejection of that fact; or ifµ= 21
Click to select your answer.
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Transcribed Image Text:U A. A correct decision would occur if p = 21 mg and the results of the sampling lead to the rejection of that fact; or if u<21
mg and the results of the sampling do not lead to that conclusion.
O B. A correct decision would occur if u = 21 mg and the results of the sampling do not lead to the rejection of that fact; or if
µ<21 mg and the results of the sampling lead to that conclusion.
O C. A correct decision would occur if u 21 mg and the results of the sampling lead to the rejection of that fact; or if u = 21
mg and the results of the sampling do not lead to that conclusion.
d. Now suppose that the results of carrying out the hypothesis test lead to rejection of the null hypothesis. Classify that
conclusion by error type or as a correct decision if in fact the mean iron intake of all adult females under the age of 51 equals the
RDA of 21 mg per day.
O A. correct decision
O B. type Il error
O C. type I error
e. Suppose that the results of carrying out the hypothesis test lead to rejection of the null hypothesis. Classify that conclusion by
error type or as a correct decision if in fact the mean iron intake of all adult females under the age of 51 is less than the RDA of
21 mg per day.
O A. correct decision
B. type I error
O C. type Il error
E Click to select your answer.
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