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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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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