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=
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=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
9) please solve all parts of the question correctly as asked for.
![**Overview of Iron Intake Analysis**
The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. A study was conducted to assess whether adult females' iron intake is less than the RDA. Iron intakes (mg per day) were collected from 45 random adult females.
**Data Summary:**
The sample mean iron intake is 14.68 mg, and the population standard deviation is assumed to be 4.2 mg. A z-test is being used to analyze the data at a 5% significance level.
**Iron Intake Data (mg per day):**
```
15.2, 17.7, 14.2, 14.4, 10.5, 18.3, 17.8, 15.3
16.2, 12.7, 12.7, 21.0, 19.7, 11.9, 12.4, 12.7
14.8, 9.3, 13.1, 17.7, 14.4, 16.2, 11.0, 14.4
14.4, 11.6, 12.4, 10.3, 16.7, 12.5, 11.3
17.6, 6.2, 16.1, 12.1, 13.4, 12.9, 16.8, 11.1
```
**Hypotheses for One-Mean z-Test:**
- Null Hypothesis (H₀): μ = 18 mg
- Alternative Hypothesis (Hₐ): μ < 18 mg
**Calculation of Test Statistic:**
The test statistic, z, should be rounded to two decimal places.
**Determination of Critical Value:**
Options for critical value determination include selecting from:
- A specified critical value
- A range critical value zᵤ/₂ = ± [value]
- A direct critical value zₐ = [value]
**Conclusion Process:**
The null hypothesis is either rejected or not rejected based on the test results. At the 5% significance level, you can determine if there's sufficient evidence to conclude that adult females intake is less than the RDA of iron, on average.
---
This educational section guides learners through hypothesis testing for determining if](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ba955a6-0173-4ce0-a339-d3f7e6283e1a%2F1cf7b60b-c148-4ac2-ab93-a6d53a990162%2Fzqagdrp_processed.png&w=3840&q=75)
Transcribed Image Text:**Overview of Iron Intake Analysis**
The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. A study was conducted to assess whether adult females' iron intake is less than the RDA. Iron intakes (mg per day) were collected from 45 random adult females.
**Data Summary:**
The sample mean iron intake is 14.68 mg, and the population standard deviation is assumed to be 4.2 mg. A z-test is being used to analyze the data at a 5% significance level.
**Iron Intake Data (mg per day):**
```
15.2, 17.7, 14.2, 14.4, 10.5, 18.3, 17.8, 15.3
16.2, 12.7, 12.7, 21.0, 19.7, 11.9, 12.4, 12.7
14.8, 9.3, 13.1, 17.7, 14.4, 16.2, 11.0, 14.4
14.4, 11.6, 12.4, 10.3, 16.7, 12.5, 11.3
17.6, 6.2, 16.1, 12.1, 13.4, 12.9, 16.8, 11.1
```
**Hypotheses for One-Mean z-Test:**
- Null Hypothesis (H₀): μ = 18 mg
- Alternative Hypothesis (Hₐ): μ < 18 mg
**Calculation of Test Statistic:**
The test statistic, z, should be rounded to two decimal places.
**Determination of Critical Value:**
Options for critical value determination include selecting from:
- A specified critical value
- A range critical value zᵤ/₂ = ± [value]
- A direct critical value zₐ = [value]
**Conclusion Process:**
The null hypothesis is either rejected or not rejected based on the test results. At the 5% significance level, you can determine if there's sufficient evidence to conclude that adult females intake is less than the RDA of iron, on average.
---
This educational section guides learners through hypothesis testing for determining if
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman