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5. A 95% confidence interval (using the conservative value for the degrees of fr

ID: 3055468 • Letter: 5

Question

5. A 95% confidence interval (using the conservative value for the degrees of freedom) for -, based on two independent samples of sizes 18 and 20, respectively, gives us (45.6, 56.7). Answer each of the following questions with yes, no, or can't tell. A) is the difference between the two population means, ?-?. included in the 95% confidence interval? yes B) Is the difference between thetwo sample means,?-T,, included in the 95% confidence interval? Yes C) Is the probability that the difference between the two population means, ?-?. falls between 45.6 and 56.7 equal to 0.952 Yes D) If larger samples were used to calculate the confidence interval, would it include more values for the difference between the two population means? Con tell A 7. When testing the hypothesis of equal means of two independent random samples, what distribution assumption is necessary for the randomly sampled data? distribution B) Binomial distribution C) Normal distribution D) F distribution 13. The amount of time it takes you to complete an exam in a statistics course is an example of a_ random variable. A) continuous B) categorical discrete Please explain the answers

Explanation / Answer

Solution:-

13) A) Continuous

A continuous variable is a variable that has an infinite number of possible values. In other words, any value is possible for the variable. A continuous variable is the opposite of a discrete variable, which can only take on a certain number of values. Her the amount of time it will take to complete an exam in a statistics course can take any value , hence it is continuous.

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