Construct a stem-and-leaf display 12. Solve one problem: A or B 8 A. A sample of

Question

Construct a stem-and-leaf display 12. Solve one problem: A or B 8 A. A sample of 64 resistors are taken from a production line and are found to have a sample mean 998 Ohms. The population distribution for the deviation is known to be 10 Ohms. resistances is unknown but the population standard Find a 97% confidence interval for the population mean. B. Data is collected on the time between arrivals of consecutive taxis at a downtown hotel. We collect a data set of size 45 with sample mean &5.0 and sample standard deviation S-4.0. Assume the data follows a normal distribution. Find a 95% confidence interval for the mean of..

Explanation / Answer

Solution:12(A)

Given N=64

Population standard deviaition= 10

Sample Mean = 998

Sample Standard error = 10/sqrt(64) = 1.25

Z alpha/2 = 2.17

Confidence interval can be calculated as follows:

998-2.17*(19/sqrt(64)) to 998+2.17*(19/sqrt(64))

confidence interval is 992.8463 to 1003.154

Solution12(B):

Given in the question

N= 45

Xbar = 5

S = 4

Zalpha/2 = 1.96

5-1.96*(4/sqrt(45)) to 5+1.96*(4/sqrt(45))

Confidence interval is 3.83 to 6.17

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