Question

6. We want to test whether there is an equal ratio of freshman to sophomores to juniors to seniors at UC Davis. I perform a Goodness of Fittest and to reject the null hypothesis then a. the sample distribution was extremely uneven across dasses b. we conclude that the ratio in the null hypothesis is plausible c. we know the test statistic was larger than the critical value d. we know the degrees of freedom for the test was 7. The standard error of a statistic: a is a measure of the center of its sampling distribution b. decreases with the size of the sample c. is equal to the variance divided by the square root of the sample size d. esists only when the Central Limit Theorem is in effect. 8. In hypothesis testing, which of the following is true? a. The probability of committing Type error is equal to the p-value b. A larger p-value tends to happen when we have an extreme test statistic The critical value determines the p-value d. Getting a very small p-value leads us to believe that the hypothesis is not very plausible 9. A scientist observes the following dataset and calculates the mean, median, variance, and standard deviation 1,1,2,2,3,3,3,3,4,4,5,5 After calculating her statistics, she realise that she forgot one last data point. You do not see the exact value but she tells you it is larger than 10. She adds it to the dataset and recalculates. How will her statistics change? a. The median and the standard deviation will increase b. The variance will increase but the mean will decrease c. The mean will now be greater than the median. d. The mean will increase and variance will decrease 10. A Goodness of Fit test is used when we have a one quantitative variable b. tivo quantitative variables. c. one categorical variable. d. two categorical variables

Answer 1

Solution:

6. We want to test whether there is an equal ratio of fresh to sophomores towniors to seniors at UC Davis. Il perform a Goodness of Fittest and fail to reject the hypothesis then a the sample distribution was extremely uneven across classes we conclude that the ratio in the full hypothesis is puble Ewe row the test statistic we r e the te we know the degrees of freedom for the test was 7. The standard error of a statistic as a measure of the center of i mpling distribution is equal to the wariance divided by the square foot of the samples d. exists only when the Central Limit Theorem is in erect 8. In hypothesis testing which of the following true a. The probability of committing Type lerror is equal to the p-value b. A larger p-value tends to happen when we have an extreme test statistic The critical value determines the p-value very p-va US D e p ot is not very pa 9. A scientist observes the following dataset and calculates the mean, median, wariance, and standard deviation 1.1.2.2.3.3.3.3.4.4.5.5 After calculating her statistics, she realize that she forgot one last data point. You do not see the exact value but she tells you it is larger than 10. She add it to the dataset and recalculates How will her statistics change? emeden and the standard Gro cese cecrease the mean w orse The mean will now be greater than the median d. The man will increase and variance will decrease B 10. A Goodness of Fit test is used when we have one quantitative variable b. two wariables d two categorical variables