#6 If n = 320 and X = 256, construct a 90% confidence interval for the population proportion, p. Give your answers to three decimals  < p <

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Apply Chebyshev’s rule to solve Exercises. A quantitative data set has size 40. At least how many observations lie within two standard deviations to either side of the mean?

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A special bumper was installed on selected vehicles in a large fleet. The dollar cost of body repairs was recorded for all vehicles that were involved in accidents over a 1-year period. Those with the special bumper are the test group and the other vehicles are the control group, shown below. Each "repair incident" is defined as an invoice (which might include more than one separate type of damage).  Statistic Test Group Control Group Mean Damage x¯1x¯1 = $ 1,101 x¯2x¯2 = $ 1,766 Sample Standard Deviation s1 = $   696 s2 =   $ 838 Repair Incidents n1 =      12 n2 =       9  (a) Construct a 90 percent confidence interval for the true difference of the means assuming equal variances. (Round answers to 3 decimal places. Negative values should be indicated by a minus sign.) (b) Repeat part (a), using the assumption of unequal variances with Welch's formula for d.f. (Round answers to 2 decimal places. Negative values should be indicated by a minus sign.) (d) Construct separate…

An occurrence sampling study of students in the classrooms concluded that 40% of the students wear shorts to class in May. What is the range of values within which you feel the true percentage lies if (a) absolute accuracy is 10% and (b) relative accuracy is 10%?

How many replicate measurements are necessary to decrease the 99% confidence limits for the analysis above by 50% of the confidence limits. Standard deviation is 0.0721, Mean is 2.43, there are 5 measurements and the z value is 2.58.

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately �=76.4. We would like to be 95% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?�=

two tail test with Zcalc = -1.74. What is the p-value of the test?

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