Statistics > SOPHIA PATHWAY > MATH 1280 Graded Exam Unit 8 Practice questions only (2020) – University of the people | MATH1280 (All)
MATH 1280 Graded Exam Unit 8 test questions only (2020) – University of the people Information Flag question Information text Recall that the population average of the heights in the file ... "pop1.csv" is μ = 170.035. Using simulations we found that the probability of the sample average of the height falling within 1 centimeter of the population average is approximately equal to 0.626. From the simulations we also got that the standard deviation of the sample average is (approximately) equal to 1.122. In the next 3 questions you are asked to apply the Normal approximation to the distribution of the sample average using this information. The answer may be rounded up to 3 decimal places of the actual value: Question 1 Not yet answered Marked out of 1.00 Flag question Question text Using the Normal approximation, the probability that sample average of the heights falls within 1 centimeter of the population average is Answer: Question 2 Not yet answered Marked out of 1.00 Flag question Question text Using the Normal approximation we get that the central region that contains 95% of the distribution of the sample average is of the form 170.035 ± z · 1.122. The value of z is Answer: Question 3 Not yet answered Marked out of 1.00 Flag question Question text Using the Normal approximation, the probability that sample average of the heights is less than 168 is Answer: Question 4 Not yet answered Marked out of 1.00 Flag question Question text According to the Internal Revenue Service, the average length of time for an individual to complete (record keep, learn, prepare, copy, assemble and send) IRS Form 1040 is 10.53 hours (without any attached schedules) - - - - - - - - - - - - - - - - - - - - - - - - - - - Not yet answered Marked out of 1.00 Flag question Question text The standard deviation of the average is Answer: Question 15 Not yet answered Marked out of 1.00 Flag question Question text The central region that contains 90% of the distribution of the average is of the form E(X) ± c, where E(X) is the expectation of the sample average. The value of c is Answer: Question 16 Not yet answered Marked out of 1.00 Flag question Question text The probability that the average is more than 2.5 months is Answer: [Show More]
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