Please provide explanations for answers below. Thank you! 51. The number of insp

Question

Please provide explanations for answers below. Thank you!

51. The number of inspection units changes with every sample

True or False

52. The sample size must be the same as the IU

True or False

53. A sample of 100 items is taken from a process that has been adjusted after it was found that its mean had shifted. The sample mean is 65. The sample standard deviation is 10. Which of the following is a 90 percent confidence interval?

a.) 62 to 68

b.) 59 to 69

c.) 63 to 67

b.) 65 to 67

55. Consider that 100 samples of size 35 are taken from a distribution of sample means. A 95 percent confidence interval is then consturcted around the mean of each of these samples. How many would be expected to include the true but unknown mean of the distribution of sample means?

a.) 5

b.) 50

c.) 90

d.) 95

Explanation / Answer

Please post 1 question per post:

n = 100

Samlpe mean = 65

Sample std dev = 10

The 90% CI is :

Xbar +/- Z*stdev/sqrt(n)

= 65 +/- 1.645*10/sqrt(100)

= 63.355 to 66.645

The CI is 63.4 to 66.65 or to 63 to 67

Hence, c.) is the correct option

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