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ques4en Using your answers to numbers 1-3, summarize the effect of the sample si

ID: 3358678 • Letter: Q

Question

ques4en Using your answers to numbers 1-3, summarize the effect of the sample size on the size of the standard deviation. O As the sample size gets larger, the standard deviation gets smaller 0 Standard deviation does not depend on the size of the sample. O As the sample size gets smaller, the standard deviation gets smaller 2 points Save Answer Question 5 In an exit poll, for which the sample size was 3180, suppose that 65% of all voters voted for a recall. Define a binary random variable taking values 0 and 1 that represent the vote for a particular voter (1 vote for the recall). State its probability distribution. Choose the sentence below that best describes the probability distribution O The binary random variable is the vote for the recall with yes or no. For each observation, P(1) 0.35 and P(0)-0.65 The binary random variable is the vote for the recall with yes or no. For each observation, P(1)-0.65 and P(o) 0.35. O For each random sample of 31 80 people, about 1113voted for recall and 2067 did not O For each random sample of 3180 people, about 2067 voted for recall and 1113 did not. 2.5 points Save Answer Question 6 According to a recent survey, the population distribution of number of years of education for self-employed individuals in a certain region has a mean of 13.1 and a standard deviation of 4.2. The size of the random sample was 36. What is the mean of the sampling distribution What is the standard deviation of the sampling distribution of x 2 points Save Answer Question 7 Using the scenario from Question 6, choose the correct description of the mean of the sampling distribution. The mean of all samples of size 36 O The minimum mean for all samples of size 36 The expected value for the mean of a sample of size 36

Explanation / Answer

Q4) Option B: Standard deviation does not depend on the size of the sample

Q5) Option B, P(1) = 0.65, P(0) = 0.35

Q6) Mean = 13.1
standard error= SD/sqrt(n) = 4.2/sqrt(36) = 0.7

Q7) The expected value for the mean of a sample of size 36