BBBASICSTAT8ACC 8.2.017.MI.S. MY NOTES ASK YOUR TEACHER Dver the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution. 9.5 8.4 10.5 9.5 9.4 9.8 10.0 9.9 11.2 12.1 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (in mg/dl; round your answers to two decimal places.) x = 10.03 s = 0.95 x mg/dl v mg/dl (b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.) lower limit mg/dl upper limit mg/dl (c) Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain. Yes. This confidence interval suggests that the patient may still have a calcium deficiency. O Yes. This confidence interval suggests that the patient no longer has a calcium deficiency. O No. This confidence interval suggests that the patient may still have a calcium deficiency. O No. This confidence interval suggests that the patient no longer has a calcium deficiency.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient’s total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.

- 9.5, 8.4, 10.5, 9.5, 9.4, 9.8, 10.0, 9.9, 11.2, 12.1

**(a)** Use a calculator with mean and sample standard deviation keys to find the sample mean reading \( \bar{x} \) and the sample standard deviation \( s \). (in mg/dl; round your answers to two decimal places.)

\[ \bar{x} = 10.03 \, \text{mg/dl} \]

\[ s = 0.95 \, \text{mg/dl} \] ✗

**(b)** Find a 99.9% confidence interval for the population mean of total calcium in this patient’s blood. (in mg/dl; round your answer to two decimal places.)

- Lower limit: \_\_\_\_ mg/dl
- Upper limit: \_\_\_\_ mg/dl

**(c)** Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain.

- Yes. This confidence interval suggests that the patient may still have a calcium deficiency.
- Yes. This confidence interval suggests that the patient no longer has a calcium deficiency.
- No. This confidence interval suggests that the patient may still have a calcium deficiency.
- No. This confidence interval suggests that the patient no longer has a calcium deficiency. ✔

**Note:** The provided answers are not displayed for the confidence interval limits in part (b).
Transcribed Image Text:Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient’s total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution. - 9.5, 8.4, 10.5, 9.5, 9.4, 9.8, 10.0, 9.9, 11.2, 12.1 **(a)** Use a calculator with mean and sample standard deviation keys to find the sample mean reading \( \bar{x} \) and the sample standard deviation \( s \). (in mg/dl; round your answers to two decimal places.) \[ \bar{x} = 10.03 \, \text{mg/dl} \] \[ s = 0.95 \, \text{mg/dl} \] ✗ **(b)** Find a 99.9% confidence interval for the population mean of total calcium in this patient’s blood. (in mg/dl; round your answer to two decimal places.) - Lower limit: \_\_\_\_ mg/dl - Upper limit: \_\_\_\_ mg/dl **(c)** Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain. - Yes. This confidence interval suggests that the patient may still have a calcium deficiency. - Yes. This confidence interval suggests that the patient no longer has a calcium deficiency. - No. This confidence interval suggests that the patient may still have a calcium deficiency. - No. This confidence interval suggests that the patient no longer has a calcium deficiency. ✔ **Note:** The provided answers are not displayed for the confidence interval limits in part (b).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman