It has long been stated that the mean temperature of humans is 98.6 degrees°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 degrees°F. They measured the temperatures of 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.3 degrees°F and a sample standard deviation of 11°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the alphaαequals=0.01 level of significance. State the hypotheses. Upper H0: ▼ sigmaσ pp muμ ▼ greater than> not equals≠ less than< equals= 98.6degrees°F Upper H1: ▼ pp sigmaσ muμ ▼ equals= not equals≠ less than< greater than> 98.6degrees°F Find the test statistic. Find the test statistic. t0equals=nothing (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What can be concluded? A. Do not reject Upper H0 since the P-value is not less than the significance level. B. Reject Upper H 0H0 since the P-value is not less than the significance level. C. Reject Upper H0 since the P-value is less than the significance level. D. Do not reject Upper H0 since the P-value is less than the significance level.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

It has long been stated that the mean temperature of humans is

98.6 degrees°F.

However, two researchers currently involved in the subject thought that the mean temperature of humans is less than

98.6 degrees°F.

They measured the temperatures of

healthy adults 1 to 4 times daily for 3 days, obtaining

225

measurements. The sample data resulted in a sample mean of

98.3 degrees°F

and a sample standard deviation of

11°F.

Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than

98.6°F

at the

alphaαequals=0.01

level of significance.

State the hypotheses.

Upper H0:

▼

sigmaσ

muμ

▼

greater than>

not equals≠

less than<

equals= 98.6degrees°F

Upper H1:

▼

sigmaσ

muμ

▼

equals=

not equals≠

less than<

greater than>

98.6degrees°F

Find the test statistic.

t0equals=nothing

(Round to two decimal places as needed.)

The P-value is

nothing.

(Round to three decimal places as needed.)

What can be concluded?

Do not reject

Upper H0

since the P-value is not less than the significance level.

Reject

Upper H 0H0

since the P-value is not less than the significance level.

Reject

Upper H0

since the P-value is less than the significance level.

Do not reject

Upper H0

since the P-value is less than the significance level.

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions