Question
Asked Jan 25, 2020
1 views

Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.

Pulse Rates of Women Repeat the preceding exercise using the pulse rates of women listed in Data Set 1 “Body Data” in Appendix B. For the sample of pulse rates of women, n = 147 and s = 12.5. See the accompanying JMP display that results from using the original list of pulse rates instead of the summary statistics. (Hint: The bottom three rows of the display provide P -values for a two-tailed test, a left-tailed test, and a right-tailed test, respectively.) What do the results indicate about the effectiveness of using the range rule of thumb with the “normal range” from 60 to 100 beats per minute for estimating σ  in this case?

4 Test Standard Deviation
10
Hypothesized Value
Actual Estimate
12.5436
146
DF
ChiSquare
Test Statistic 229.7176
<.0001
Test
Min PValue
Prob < Chisq
Prob > Chisq
1.0000
<0001*
help_outline

Image Transcriptionclose

4 Test Standard Deviation 10 Hypothesized Value Actual Estimate 12.5436 146 DF ChiSquare Test Statistic 229.7176 <.0001 Test Min PValue Prob < Chisq Prob > Chisq 1.0000 <0001*

fullscreen
check_circle

Expert Answer

Step 1

The null and the alternative hypotheses are,

H0: σ=10 (The standard deviation of beats per minute is equal to ten.)

H1: σ ≠10 (The standard deviation of beats per minute is not equal to ten.)

From the given output, the test statistic is identified and its value is 229.7176.

The P-value is also identified from the given output and its value is almost equal to 0.

Step 2

Decision rule:

Reject the null hypothesis H0 when the P-value is lesser than the level of significance α. Otherwise, do not reject the null hypothesis.

Conclusion:

The P-value is 0 and the level of significance is considered as 0.01.

The P-value is lesser than the level of si...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: What is another name for the standard deviation of the variable x? What is the reason for that name?

A: Click to see the answer

question_answer

Q: New Car Passion. Edmunds.com publishes information on new car prices in Car Shopping Trends Report. ...

A: a.Population:Population consists of the complete subjects that are included in the study for making ...

question_answer

Q: Gasoline Mileage. An engineer wants to determine factors that affect the EPA miles per gallon rating...

A: (a)Justification:Predictor variable:Predictor variable in a regression is the independent variable, ...

question_answer

Q: Advertising and Sales. Use the technology of your choice to do the following. a. Obtain the scatterp...

A: Note:Hey there! Thank you for posting the question. However, since your question has more than 3 sub...

question_answer

Q: Roulette. An American roulette wheel consists of 38 numbers, of which 18 are red, 18 are black, and ...

A: Total numbers in roulette = 38numbers in red =18numbers in black = 18numbers in green = 2If the ball...

question_answer

Q: The boxplot below shows salaries for Actuaries and CPAS. CPA Actuary 80 90 Salary (thousands of $) 0...

A: The box plot contains 5-number summary. That is, the minimum value, the first quartile, the second q...

question_answer

Q: For the one-mean t-interval procedure, express the formula for the endpoints of a confidence interva...

A: The formula for a mean t-interval procedure is given as follows:

question_answer

Q: In each of Exercises, we have given the P-value for a hypothesis test. For each exercise, refer to T...

A: Decision criterion:If the p-value of the test is less than or equal to the level of significance, re...

question_answer

Q: A variable has a mean of 100 and a standard deviation of 16. Four observations of this variable have...

A: a.The observed value of standardize version of x is obtained below:From the given information, the v...