A data set includes 104 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view at distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean µ? °F
A data set includes 104 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view at distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean µ? °F
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![**Title: Confidence Interval Estimation of Mean Body Temperature**
A data set includes 104 body temperatures of healthy adult humans, having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?
- Click here to view a t distribution table.
- Click here to view page 1 of the standard normal distribution table.
- Click here to view page 2 of the standard normal distribution table.
---
**What is the confidence interval estimate of the population mean μ?**
\[ \_\_\_ °F < μ < \_\_\_ °F \]
(Round to three decimal places as needed.)
**What does this suggest about the use of 98.6°F as the mean body temperature?**
- A. This suggests that the mean body temperature is lower than 98.6°F.
- B. This suggests that the mean body temperature is higher than 98.6°F.
- C. This suggests that the mean body temperature could very possibly be 98.6°F.
---
*Note: This section is aimed at helping students understand statistical concepts related to confidence intervals and their implications on interpreting mean values in a population.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd31814c-b74b-4f1d-846f-9635baf02446%2F5e000e00-657e-4f81-9940-15ccf5852e80%2F8mp7nkf_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Confidence Interval Estimation of Mean Body Temperature**
A data set includes 104 body temperatures of healthy adult humans, having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?
- Click here to view a t distribution table.
- Click here to view page 1 of the standard normal distribution table.
- Click here to view page 2 of the standard normal distribution table.
---
**What is the confidence interval estimate of the population mean μ?**
\[ \_\_\_ °F < μ < \_\_\_ °F \]
(Round to three decimal places as needed.)
**What does this suggest about the use of 98.6°F as the mean body temperature?**
- A. This suggests that the mean body temperature is lower than 98.6°F.
- B. This suggests that the mean body temperature is higher than 98.6°F.
- C. This suggests that the mean body temperature could very possibly be 98.6°F.
---
*Note: This section is aimed at helping students understand statistical concepts related to confidence intervals and their implications on interpreting mean values in a population.*

Transcribed Image Text:**POSITIVE z Scores: Cumulative Area from the LEFT**
This table shows the cumulative area from the left under a standard normal distribution curve for positive z-scores, indicating the probability of a standard normal random variable being less than a specific z value.
**Table Layout:**
- **Top row**: Displays the hundredths digit (.00, .01, ..., .09).
- **First column**: Displays the tenths digit of z (0.0 to 3.4).
**Table Data:**
The table provides cumulative probabilities for z-scores from 0.00 to 3.49. For example:
- A z-score of 0.0 has a cumulative area of 0.5000.
- A z-score of 1.0 has a cumulative area of 0.8413.
- A z-score of 2.3 has a cumulative area of 0.9893.
Values increase as z increases, showing the cumulative probability of a random variable falling below that z-score.
**Graph Explanation:**
Above the table, there's a bell-shaped curve representing a standard normal distribution centered at 0. The highlighted area to the left of a positive z value indicates the cumulative probability.
**Note:**
For z-scores of 3.50 or higher, use 0.9999 for the area.
**Common Critical Values:**
- .01 (z = 2.33)
- .05 (z = 1.645)
- .10 (z = 1.282)
- .50 (z = 0.0)
The table is essential for statistical analysis, particularly in determining probabilities related to the normal distribution.
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