5:39 M@ 54%1< University of Guyana.. L Q :1/36. Explain the difference between the observed and expected frequencies for a goodness-of-fit test. How is the expected frequency of a category calculated for a goodness-of-fit test?What are the degrees of freedom for such a test?7. To make a goodness-of-fit test, what should be the minimum expected frequency for eachcategory? What are the alternatives if this condition is not satisfied?8. The following table lists the frequency distribution for 60 rolls of a die.Outcome1-spot2-spot| 3-spot4-spot5-spot6-spotFrequency1281511Test at the 5% significance level whether the null hypothesis that the given die is fair is true.9. In June 2009, the Gallup-Healthways Well-Being Index (well-beinginde x.com) reportedthat 49% of Americans exercise for 30 minutes or more on 2 or fewer days per week,24% exercise for 30 minutes or more on 3 or 4 days per week, and 27% exercise for 30minutes or more on 5 or more days per week. Assume that the Gallup-Healthways resultswere true for the June 2009 population of Americans. Suppose a recent random sample of458 Americans produced the following results.Exercise frequency2 or fewer days a3 or 4 days a week5 or more a weekweekdaysNumber of people197121140Test at the 10% significance level whether the current distribution of exercise frequency differsfrom that of June 2009.10. Describe in your own words a test of independence and a test of homogeneity. Give oneexample of each2/311. Consider the following contingency table, which is based on a sample survey.II 5:38 M@ 54%1< University of Guyana.. E Q :from that of June 2009.10. Describe in your own words a test of independence and a test of homogeneity. Give oneexample of each2/311. Consider the following contingency table, which is based on a sample survey.Column 113798|Column 2Column 310565115Row 1Row 26471Row 311581a. Write the null and alternative hypotheses for a test of independence for this table.b. Calculate the expected frequencies for all cells, assuming that the null hypothesis is true.c. For a= .01, find the critical value of X². Show the rejection and nonrejection regions on thechi-square distribution curve.d. Find the value of the test statistic X2.e. Using a= .01, would you reject the null hypothesis?12. Explain the meaning of independent and dependent variables for a regression model.13.A car rental company charges $50 a day and 20 cents per mile for renting a car. Let y be thetotal rental charges (in dollars) for a car for one day and x be the miles driven. The equation forthe relationship between x and y isY=50 +.20xa. How much will a person pay who rents a car for one day and drives it 100 miles?b. Suppose each of 20 persons rents a car from this agency for one day and drives it 100 miles.Will each of them pay the same amount for renting a car for a day or do you expect each personto pay a different amount? Explain.c. Is the relationship between x and y exact or nonexact?3/3II

Explain the difference between the observed and expected frequencies for a goodness-of- fit test. How is the expected frequency of a category calculated for a goodness-of-fit test? What are the degrees of freedom for such a test?

Explain the difference between the observed and expected frequencies for a goodness-of- fit test. How is the expected frequency of a category calculated for a goodness-of-fit test? What are the degrees of freedom for such a test?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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