Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Test of a Single Variance

Use the following information to answer the next three exercises: An archer's standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.

What type of test should be used?

Short Answer

Expert verified

We use a test of single variance

Step by step solution

01

Given Information

Archer's standard deviation of hits is 6

Observer's claim is standard deviation is less than 6

02

Explanation

In this exam, Archer's standard deviation is six, whereas the observer's is less than six. In a single variance test, the distribution is considered to be regular. Both of the null and alternative hypotheses are defined in terms of population variance. The sampling distribution could be a variable, with the archer's hits as the sample. The type of test used here is a single variance test.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A teacher predict that the distribution of grades on the final exam will be and they are recorded in table 11.27

The actual distribution for a class of 20 is in table 11.28

Determine P value.

A company packages apples by weight. One of the weight grades is Class Aapples. Class Aapples have a mean weight of 150g, and there is a maximum allowed weight tolerance of 5%above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a ClassAapple package. Given the following apple weights of the batch, does the fruit comply with the Class Agrade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the 5%significance level

(b) at the 1%significance level Weights in selected apple batch (in grams): 158; 167; 149; 169;164; 139; 154; 150; 157 ; 171; 152; 161 ; 141; 166; 172;

A market researcher wants to see if two different stores have the same distribution of sales throughout the year. What type of test should he use?

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade the p-value.

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.

U.S. Ski AreaBeginnerIntermediateAdvanced
Tahoe203040
Utah10
3060
Colorado1040 50

Table11.43

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free