The recommended daily allowance (RDA) of iron for adult females under the age of 51 is 18 mg. We wish to test if females under age 51 are, on average, getting less than 18 mg. A simple random sample of 48 females between age 18 and 50 are selected. The sample average of iron intake is 16.4 mg with a standard deviation of 4.1 mg. Run the appropriate test at the 5% level of significance. Select the answer which best reflect the test statistic, critical value, and conclusion. HO: µ = 18 vs HA: H < 18 α =0.05 |t| statistic: 2.703, t critical Value: 1.684, Reject HO since 2.703 > 1.684 Z statistic: -2.703, Z critical Value: -1.960, Reject HO since -2.703 < -1.960 O statistic: -2.703, Z critical Value: -1.645, Reject HO since -2.703 < -1.645 O None of these choices are correct.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The recommended daily allowance (RDA) of
iron for adult females under the age of 51 is 18
mg. We wish to test if females under age 51
are, on average, getting less than 18 mg. A
simple random sample of 48 females between
age 18 and 50O are selected.
The sample average of iron intake is 16.4 mg
with a standard deviation of 4.1 mg. Run the
appropriate test at the 5% level of significance.
Select the answer which best reflect the test
statistic, critical value, and conclusion.
HO:
µ = 18
vs HA:
и < 18
=0.05
O It| statistic: 2.703, t critical Value: 1.684, Reject
HO since 2.703 > 1.684
O Z statistic: -2.703, Z critical Value: -1.960, Reject
HO since -2.703 < -1.960
O Z statistic: -2.703, Z critical Value: -1.645, Reject
HO since -2.703 < -1.645
None of these choices are correct.
Transcribed Image Text:The recommended daily allowance (RDA) of iron for adult females under the age of 51 is 18 mg. We wish to test if females under age 51 are, on average, getting less than 18 mg. A simple random sample of 48 females between age 18 and 50O are selected. The sample average of iron intake is 16.4 mg with a standard deviation of 4.1 mg. Run the appropriate test at the 5% level of significance. Select the answer which best reflect the test statistic, critical value, and conclusion. HO: µ = 18 vs HA: и < 18 =0.05 O It| statistic: 2.703, t critical Value: 1.684, Reject HO since 2.703 > 1.684 O Z statistic: -2.703, Z critical Value: -1.960, Reject HO since -2.703 < -1.960 O Z statistic: -2.703, Z critical Value: -1.645, Reject HO since -2.703 < -1.645 None of these choices are correct.
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