Random digits generated by a random number generator are supposed to be equally

Question

Random digits generated by a random number generator are supposed to be equally likely. We run the generator several times and receive 1 2 3 4 5 6 7 8 9 11 128 14 79 9 8 14 8 Which type of test should be run to test whether the random number generator is working properly? a. goodness of fit chi-square test b. z-test test for one proportion c. chi-square test for homogeneity d. regression QUESTION 7 3 points Save Answer A bank has two plans for a Christmas Club account. Plan A offers a higher interest rate, and plan B offers a free toaster. 250 customers of plan A saved an average of $1787 (standard deviation $125) and 200 customers of plan B saved an average of $1818 (standard deviation $140). Researchers are nterested in whether those who would choose plan B would tend to save more money. What is the most appropriate test for the researchers to use? a. two sample t-test b. paired sample t-test c. chi-squared test d. z-test for the difference between two proportions

Explanation / Answer

1. the correct option is chi square test for homogeneity

here we want ot check whether the numbers generated are at all random or not.

each digit represents a different population.

we want to check whether these populations are homogeneous or not.

hence chi square test for homogeneity is applicable

question 7: the answer is two sample t test

because there are two samples: plan A and plan B. now customers of plan A are different from that of plan B

hence they are independent.

and we want to test for their means

hence two sample t test

correct answer: regression

here the owner wants to find how the time taken to finish the maze(Y) depends on the amount of caffine(X)

here we are interested in establishing a relationship between X and Y

hence regression

correct answer: z test for one proportion

because here we want to estimate the proportion of mother having epidural among those whoare having babies

and since number of babies is 1178 which is quite large, hence normality can be assumed

hence z test for one proportion

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