1/A surgical team in a hospital has observed that 87.7% of patients operated on require minor corrective surgery within one week. What is the probability of less than 3 patients out of 7 requiring corrective surgery?

2/A sample of 6 items is taken from a population of 14 containing 13 blue items. What is the probability of obtaining exactly 4 blue item(s)?

3/What is the probability that a randomly selected item from a population having a Weibull distribution with a shape parameter of 4.9 and a scale parameter of 148.9 has a value between 109.3 and 129.1?

4/Given an exponentially distributed population with a mean of 445.99. What is the probability of the average of 69 randomly selected items being less than 447.2?

5/Using Data Set E in the Excel file, and assuming unequal variances, how many degrees-of-freedom should be used in a hypothesis test to determine if the mean of the parts produced by Machine A is greater than the mean of the parts produced by Machine B? Please use at least 3 decimal places for all answers?

6/Using Data Set F in the Excel file, at what level of statistical significance(one-sided test) is the population mean less than 89.2? Please use at least 3 decimal places for all answers?

NOTE: For this problem, define your alternative as being "less than" the Null?

7/For the data in Data Set F of the provided Excel file, what is the 95% upper confidence limit (one-sided) for the standard deviation?

8/Given the results for each level of the factor in Data Set G of the given Excel file and using ANOVA, what is the value of the mean square for the residual?

9/An interval recorded 9 occurrences. What is the 93% upper confidence limit(one-sided) for the number of occurrences in an interval? Please use at least 2 decimal points for your answer?

Home Insert Draw Tell me Share Comments A1 4 fx Level 1 F G - H A B D E 1 Level 1 Level 2 Level 3 Level 4 Level 5 2 77.2 110.9 83.5 68.8 95.5 3 86.9 45.4 68.2 106.7 69.2 4 106.4 45.8 90.2 90.8 34.7 5 45.5 114.2 54.8 109.4 6 104.7 109.4 102.5 128.3 7 42 30.6 104.8 115.7 8 84.5 90.9 41.9 98.4 9 67.8 39.6 112.6 102.2 10 22.3 52.6 57.7 66.3 11 57 100.5 76.9 79 12 90.8 92.2 104 13 65 70.6 99.4 14 39.3 71.8 15 47.1 47.4 16 115.4 51.3 17 83.1 108.4 18 57.9 75.4 19 61.9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Level 6 86.4 31.4 52 76.5 58.2 106.8 41.9 102.3 47.6 114.7 46.5 126 107.8 126.6 116.3 51 104.9 27 Data Set F Data Set G + Home Insert Draw Tell me Share Comments A1 4 fx Level 1 F G - H A B D E 1 Level 1 Level 2 Level 3 Level 4 Level 5 2 77.2 110.9 83.5 68.8 95.5 3 86.9 45.4 68.2 106.7 69.2 4 106.4 45.8 90.2 90.8 34.7 5 45.5 114.2 54.8 109.4 6 104.7 109.4 102.5 128.3 7 42 30.6 104.8 115.7 8 84.5 90.9 41.9 98.4 9 67.8 39.6 112.6 102.2 10 22.3 52.6 57.7 66.3 11 57 100.5 76.9 79 12 90.8 92.2 104 13 65 70.6 99.4 14 39.3 71.8 15 47.1 47.4 16 115.4 51.3 17 83.1 108.4 18 57.9 75.4 19 61.9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Level 6 86.4 31.4 52 76.5 58.2 106.8 41.9 102.3 47.6 114.7 46.5 126 107.8 126.6 116.3 51 104.9 27 Data Set F Data Set G +