A reasearcher measured the body temperatures of a randomly selected group of adults. The summaries of the data he collected are in the accompanying tables. Estimate the average (or "normal") temperature among the adult population. Complete parts a through e below. a) Check the conditions for creating a t-interval. Which condition(s) is(are) met? Select all that apply. A. Randomization Condition B. 10% Condition C. Nearly Normal Condition b) Find a 90% confidence interval for the mean body temperature. The 90% confidence interval for the mean body temperature is (nothing,nothing). (Round to two decimal places as needed.) c) Explain the meaning of the interval. Choose the correct answer below. A. There is 90% confidence, based on the data, that the interval contains the mean body temperature. B. There is 90% confidence, based on the data, that the mean body temperature will always fall in the interval. C. There is 90% confidence, based on the data, that the body temperature for an adult falls in the interval. D. There is 90% confidence, based on the data, that the body temperature for all adults falls in the interval.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A reasearcher measured the body temperatures of a randomly selected group of adults. The summaries of the data he collected are in the accompanying tables. Estimate the average (or "normal") temperature among the adult population. Complete parts a through e below.

a) Check the conditions for creating a t-interval. Which condition(s) is(are) met? Select all that apply.

Randomization Condition

10% Condition

Nearly Normal Condition

b) Find a

90%

confidence interval for the mean body temperature.

The

90%

confidence interval for the mean body temperature is

(nothing,nothing).

(Round to two decimal places as needed.)

c) Explain the meaning of the interval. Choose the correct answer below.

There is

90%

confidence, based on the data, that the interval contains the mean body temperature.

There is

90%

confidence, based on the data, that the mean body temperature will always fall in the interval.

There is

90%

confidence, based on the data, that the body temperature for an adult falls in the interval.

There is

90%

confidence, based on the data, that the body temperature for all adults falls in the interval.

Summary statistics
Summary
Temperature
Count
52
Mean
98.941
Median
98.800
MidRange
98.600
StdDev
0.6873
Range
2.800
IntQRange
1.040
Print
Done

10-
9-
8-
7-
3-
2-
1-
98
99
Body Temperature (Fahrenheit)
100
Number of Participants

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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