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Chapter 9: Q 106. (page 611)

The most important condition for making an inference about a population mean from a significance test is that

a. the data come from a random sample.

b. the population distribution is exactly Normal.

c. the data contain no outliers.

d. the sample size is less than 10% of the population size.

e. the sample size is at least 30

Short Answer

Expert verified

The correct option is (a) the data come from a random sample.

Step by step solution

01

Given information

  • The information is drawn from a random sample.
  • The distribution of the population is perfectly Normal.
  • There are no outliers in the data.
  • The sample size is less than 10%of the total population.
  • There are at least 30 people in the sample.
02

Explanation

The most appropriate response to the given statement is 鈥淭he information comes from a well-designed randomized sample or experiment.鈥�

So the correct option is (a).

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Most popular questions from this chapter

After once again losing a football game to the archrival, a college鈥檚 alumni association conducted a survey to see if alumni were in favor of firing the coach. An SRS of 100 alumni from the population of all living alumni was taken, and 64 of the alumni in the sample were in favor of firing the coach. Suppose you wish to see if a majority of all living alumni is in favor of firing the coach. The appropriate standardized test statistic is

(a)z=0.64-0.50.64(0.36)100z=0.64-0.50.64(0.36)100

role="math" localid="1654432946823" (b)t=0.64-0.50.64(0.36)100t=0.64-0.50.64(0.36)100

(c)z=0.64-0.50.5(0.5)100z=0.64-0.50.5(0.5)100

(d)z=0.64-0.50.64(0.36)64z=0.64-0.50.64(0.36)64

(e)z=0.5-0.640.5(0.5)100z=0.5-0.640.5(0.5)100

Bags of a certain brand of tortilla chips claim to have a net weight of 14ounces. Net weights vary slightly from bag to bag and are Normally distributed with mean 渭 . A representative of a consumer advocacy group wishes to see if there is convincing evidence that the mean net weight is less than advertised and so intends to test the hypotheses

H0:渭=14Ha:渭<14

A Type I error in this situation would mean concluding that the bags

a. are being underfilled when they aren鈥檛.

b. are being underfilled when they are.

c. are not being underfilled when they are.

d. are not being underfilled when they aren鈥檛.

e. are being overfilled when they are underfilled

Pressing pills A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for the hardness is 渭=11.5The hardness data for a random sample of 20 tablets from one large batch are

Is there convincing evidence at the 5%level that the mean hardness of the tablets in this batch differs from the target value?

A significance test allows you to reject a null hypothesis H0H0in favor of an alternative hypothesisHaaat the 5%significance level. What can you say about significance at the1%level?

a.H0H0can be rejected at the1%significance level.

b. There is insufficient evidence to rejectH0H0at the1%significance level.

c. There is sufficient evidence to accept H0H0at the 1%significance level.

d.HaHacan be rejected at the 1%significance level.

e. The answer can't be determined from the information given.

Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a loud noise as stimulus. The appropriate hypotheses for the significance test are

a. H0:渭=18;Ha:渭鈮�18

b. H0:渭=18;Ha:渭>18

c. H0:渭<18;Ha:渭=18

d. H0:渭=18;Ha:渭<18

e. H0:x炉=18;Ha:x炉<18
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