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Read the statement and decide whether it is true or false.

The test to use to determine if a six-sided die is fair is a goodness-of-fit test.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Given Information

The test to use to determine if a six-sided die is fair is a goodness-of-fit test.

02

Explanation

Let's tossed a dice first.

The probability of each face should be equal to 16.

If a researcher will toss the die 36 times, then the observed number of times each face landed on top to the expected numbers.

Therefore the expected numbers would be 16of the total number of tosses.

Hence, the statement is true.

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Most popular questions from this chapter

a. Explain why a goodness-of-fit test and a test of independence are generally right-tailed tests.

b. If you did a left-tailed test, what would you be testing?

Where is ฮผlocated on a chi-square curve?

An ice cream maker performs a nationwide survey about favorite flavors of ice cream in different geographic areas of the U.S. Based on the Table, do the numbers suggest that geographic location is independent of favorite ice cream flavors? Test at the 5%significance level.

USRegionStraChocoVanRockyRoadMintChocolateChipPistachioTotalWest1221221915897Midwest1032221115696East83127815796South1528308156102Total45112101466027391

Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors.

MajorMen - Expected MajorMen - Actual MajorArts & Humanities11.0%600Biological Sciences6.7%330Business22.7%1130Education5.8%305Engineering15.6%800Physical Sciences3.6%175Professional9.3%460Social Sciences7.6%370Technical1.8%90Other8.2%400Undecided6.6%340

A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.

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