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This cannot be determined from the information given.Question 51 / 1 pointWhich of the following results implies that the spread in x¯x¯ {"version":"1.1","math":"\bar x"} decreases as the sample size increases?Question options:The normal distribution.The 68-95-99.7% Rule.The Central Limit Theorem.The Law of Large Numbers.InformationUse the following information to answer the next 4 questions.Scores on the quantitative portion of the GRE are approximately normally distributed with mean μ=150.8μ=150.8 {"version":"1.1","math":"\mu = 150.8 "} and standard deviation σ=8.8σ=8.8 {"version":"1.1","math":"\sigma = 8.8"} . (1)(1) Source: ets:GRE
Question 61 / 1 pointDianne earned a score of 160 on the quantitative portion of the GRE. What is the z-score corresponding to Dianne’s score?(Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.)Answer:1.045View Feedbackz = (x - μ)/σ= (160 - 150.8)/8.8 = 1.04545Question 71 / 1 pointWhat is the probability that a randomly selected student will score above 160 on the quantitative portion ofthe GRE? (Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.)Answer:0.148Question 81 / 1pointA random sample of 5 students was selected to take the GRE. Their scores are:160, 175, 163, 149, 153What is the z-score corresponding to the sample mean of these students’ scores? (Round your answer to3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.)Answer:2.338Question 91 / 1pointWhat is the probability that five randomly selected students will have a mean score that is greater than themean achieved by the students in the previous problem? (Round your answer to 4 decimal places.