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Chapter 11: Q.30 (page 656)

What is the test statistic?

Short Answer

Expert verified

Test statistics is55.888.

Step by step solution

01

Given Information

Given data:

02

Explanation

Test static of independence is given by,

Test statistic =鈭�i脳j(O-E)2E

To calculate (O-E)2Eusing the formula (B4-B14)2B14and table of the test statistic is given below,

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Most popular questions from this chapter

Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown in Table. Conduct a test for homogeneity at a 5%level of significance.

French ToastPancakesWafflesOmelettesMen47352853Women65595560

The City of South Lake Tahoe, CA, has an Asian population of 1,419people, out of a total population of 23,609. Suppose that a survey of 1,419self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

RaceLake Tahoe FrequencyManhattan FrequencyAsian Indian131174Chinese118557Filipino1,045518Japanese8054Korean1229Vietnamese921Other2466

A plant manager is concerned her equipment may need recalibrating. It seems that the actual weight of the 15oz. cereal boxes it fills have been fluctuating. The standard deviation should be at most 0.5oz. In order to determine if the machine needs to be recalibrated, 84randomly selected boxes of cereal from the next day鈥檚 production were weighed. The standard deviation of the 84 boxes was 0.54. Does the machine need to be recalibrated?

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

In a goodness-of-fit test, the expected values are the values we would expect if the null hypothesis were true.

The mean and the median of the chi-square distribution are the same if df=24.
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