(f) Chi-square tests are most appropriate for data thatO A. are categorical.O B. have small standard deviations.O C. are normally distributed.O D. can be averaged.O E. have rounding errors.(g) Type I error is:O A. Deciding the null hypothesis is true when it is falseO B. Deciding the null hypothesis is false when it is trueOC. Deciding the alternative hypothesis is true when it is falseO D. Deciding the alternative hypothesis is true when it is trueO E. All of the aboveO F. None of the above(h) A Type I error is committed if we make:O A. a correct decision when the null hypothesis is falseO B. an incorrect decision when the null hypothesis is trueO C. an incorrect decision when the null hypothesis is falseD. a correct decision when the null hypothesis is true(i) Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals0.05?O A. 0.15OB. 0.025OC. 0.055O D. 0.10(j) A consumer advocacy group claims that the mean mileage for the Ford - F150 is less than 32 miles pergallon. Identify the type I error for the test.O A. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 milesper gallon.OB. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually greater than 32miles per gallon.OC. Reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon.O D. Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles pergallon. For each problem, select the best response.(a) The scores of adults on an IQ test is approximately Normal with mean 100 and standard deviation 15.Corinne scores 118 on such test. Her z-score is aboutO A. 0.67OB. 1.2O C. 7.87OD. 18O E. None of the above.(b) A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimentalsoil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatoryvariable is theO A. size of the soil bed.O B. rate of water flow.OC. amount of eroded soil.O D. depth of the soil bed.O E. None of the above.(c) Smokers don't live as long (on the average) as nonsmokers, and heavy smokers don't live as long as lightsmokers. You regress the age at death of a group of male smokers on the number of packs per day theysmoked. The slope of your regression lineA. will be greater than zero.OB. will be less than zero.OC. must be between 1 and 1.D. can't tell without seeing the data.(d) Type II error is:O A. Deciding the alternative hypothesis is false when it is trueOB. Deciding the alternative hypothesis is true when it is trueOC. Deciding the null hypothesis is true when it is falseO D. Deciding the null hypothesis is false when it is trueO E. All of the aboveO F. None of the above(e) A 95% confidence interval for the mean μ of a population is computed from a random sample and found tobe 104. We may concludeO A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4.O B. 95% of the population is between 6 and 14.O C. that there is a 95% probability that u is between 6 and 14.O D. that if we took many, many additional samples and from each computed a 95% confidence interval for μ,approximately 95% of these intervals would contain μ.O E. All of the above.

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we know that the specific distribution used in the specific case. i.e. according to the data we…