What does it suggest about the use of 98.6 Fahrenheit as the mean of body temperature? a. This suggest that the mean of body temperature could be lower than 98.6 Fahrenheit.b. This suggest that the mean of body temperature could be very possible be 98.6 Fahrenheit.c. This suggest that the mean of the body temeprature could be higher than 98.6 Fahrenheit. **t Distribution: Critical Values**The t distribution table provides the critical values for statistical tests. The table displays critical values for different significance levels (α) and degrees of freedom, used for hypothesis testing.**Graphs Explanation:**1. **Left Tail:** - The curve represents a t distribution with the critical value located in the left tail. The shaded area (α) is the probability in the left tail. This critical value is negative.2. **Right Tail:** - This graph displays a t distribution with the critical value located in the right tail. The shaded area (α) represents the right tail probability. This critical value is positive.3. **Two Tails:** - The curve here shows a two-tailed t distribution. The shaded areas (α/2) are located in both tails. The critical values indicate the boundaries for a two-tailed test, with both positive and negative critical values.**Critical Values Table:**- Columns represent different significance levels for the area in one tail (0.005, 0.01, 0.025, 0.05, 0.10).- Rows correspond to degrees of freedom ranging from 1 to 1000.- The values within the table indicate the critical value for the respective degree of freedom and significance level.Here's a brief excerpt from the table:| Degrees of Freedom | 0.005 | 0.01 | 0.025 | 0.05 | 0.10 ||--------------------|-------|------|-------|------|------|| 1 | 63.657| 31.821| 12.706| 6.314| 3.078|| 2 | 9.925 | 6.965 | 4.303 | 2.920| 1.886|| 3 | 5.841 | 4.541 | 3.182 | 2.353| 1.638|| ... | ... | ... | ... | ... | ... || 1000 | 2.581 | 2.330| 1.962 | 1.646| 1.282|This table is crucial for determining the t statistic's cutoff point beyond which the null hypothesis can be rejected for a given significance level. A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.64°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 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.)

The sample size is 108, sample mean is 98.2 and standard deviation is 0.64.

Answered: A data set includes 108 body…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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What does it suggest about the use of 98.6 Fahrenheit as the mean of body temperature?

a. This suggest that the mean of body temperature could be lower than 98.6 Fahrenheit.

b. This suggest that the mean of body temperature could be very possible be 98.6 Fahrenheit.

c. This suggest that the mean of the body temeprature could be higher than 98.6 Fahrenheit.

**t Distribution: Critical Values**

The t distribution table provides the critical values for statistical tests. The table displays critical values for different significance levels (α) and degrees of freedom, used for hypothesis testing.

**Graphs Explanation:**

1. **Left Tail:**
- The curve represents a t distribution with the critical value located in the left tail. The shaded area (α) is the probability in the left tail. This critical value is negative.

2. **Right Tail:**
- This graph displays a t distribution with the critical value located in the right tail. The shaded area (α) represents the right tail probability. This critical value is positive.

3. **Two Tails:**
- The curve here shows a two-tailed t distribution. The shaded areas (α/2) are located in both tails. The critical values indicate the boundaries for a two-tailed test, with both positive and negative critical values.

**Critical Values Table:**

- Columns represent different significance levels for the area in one tail (0.005, 0.01, 0.025, 0.05, 0.10).
- Rows correspond to degrees of freedom ranging from 1 to 1000.
- The values within the table indicate the critical value for the respective degree of freedom and significance level.

Here's a brief excerpt from the table:

| Degrees of Freedom | 0.005 | 0.01 | 0.025 | 0.05 | 0.10 |
|--------------------|-------|------|-------|------|------|
| 1 | 63.657| 31.821| 12.706| 6.314| 3.078|
| 2 | 9.925 | 6.965 | 4.303 | 2.920| 1.886|
| 3 | 5.841 | 4.541 | 3.182 | 2.353| 1.638|
| ... | ... | ... | ... | ... | ... |
| 1000 | 2.581 | 2.330| 1.962 | 1.646| 1.282|

This table is crucial for determining the t statistic's cutoff point beyond which the null hypothesis can be rejected for a given significance level.

A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.64°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 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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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