The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females. At the 5% significance level, do the data suggest that adult females are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: x=14.68 mg) Click here to view the iron intake data Click here to view Page 1 of the table of areas under the standard normal curve Click here to view Page 2 of the table of areas under the standard normal curve. State the hypotheses for the one-mean z-test. - X Iron intake (mg per day) H V mg H V mg (Type integers or decimals 152 17.7 14.2 14.4 10.5 18.5 18.3 17.8 15.3 O needed. Do not round.) 16.2 12.7 17.2 21.0 19.7 11.9 124 16.2 10.6 Compute the value of the test statistic. 14.8 9.3 19.6 18.0 15.1 16.8 11.8 16.7 12.9 14.4 11.6 12.8 19.1 12.7 12.3 10.4 17.1 12.0 17.6 62 16.1 12.2 16.3 14.3 12.9 16.8 11.1 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is -z= Print Done O B. The critical values are +z/2 = : OC. The critical value is z=

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The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females. At the 5% significance level, do the data suggest that adult females are, on average, getting less
than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: x= 14.68 mg.)
Click here to view the iron intake data.
Click here to view Page 1 of the table of areas under the standard normal curve.
Click here to view Page 2 of the table of areas under the standard normal curve.
State the hypotheses for the one-mean z-test.
Iron intake (mg per day)
Ho: H
mg
mg
15.2
17.7 14.2 14.4 10.5 18.5 18.3 17.8 15.3 -
(Type integers or decimals as needed. Do not round.)
16.2 12.7
17.2 21.0 19.7 11.9 12.4 16.2 10.6
Compute the value of the test statistic.
14.8
9.3
19.6
18.0
15.1
16.8 11.8
16.7 12.9
14.4
11.6
12.8
19.1
12.7 12.3 10.4
17.1
12.0
z=
17.6
6.2
16.1 12.2 16.3 14.3 12.9
16.8 11.1
(Round to two decimal places as needed.)
Determine the critical value(s). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)
O A. The critical value is - Zg =
Print
Done
O B. The critical values are ±Za/2 = +
O C. The critical value is za =
V the null hypothesis. At the 5% significance level, the data
V sufficient evidence to conclude that adult females are
V the RDA of iron, on average.
Transcribed Image Text:The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females. At the 5% significance level, do the data suggest that adult females are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: x= 14.68 mg.) Click here to view the iron intake data. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. State the hypotheses for the one-mean z-test. Iron intake (mg per day) Ho: H mg mg 15.2 17.7 14.2 14.4 10.5 18.5 18.3 17.8 15.3 - (Type integers or decimals as needed. Do not round.) 16.2 12.7 17.2 21.0 19.7 11.9 12.4 16.2 10.6 Compute the value of the test statistic. 14.8 9.3 19.6 18.0 15.1 16.8 11.8 16.7 12.9 14.4 11.6 12.8 19.1 12.7 12.3 10.4 17.1 12.0 z= 17.6 6.2 16.1 12.2 16.3 14.3 12.9 16.8 11.1 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is - Zg = Print Done O B. The critical values are ±Za/2 = + O C. The critical value is za = V the null hypothesis. At the 5% significance level, the data V sufficient evidence to conclude that adult females are V the RDA of iron, on average.
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