Quiz: Chapter 8 Quiz This Question: 1 pt 2 of 10 (1 complete) Construct a 95% co

Question

Quiz: Chapter 8 Quiz This Question: 1 pt 2 of 10 (1 complete) Construct a 95% confidence interval to estimate the population mean using the following data. What assumptions need to be made to construct this interval? x=83 =19 n=12 What assumptions need to be made to construct this interval? O A. The population is skewed to one side. O B. The population mean will be in the confidence interval. O C. The population must be normally distributed. OD. The sample size is less than 30 and the upper limit of ? With 95% confidence, when n = 12 the population mean is between the lower limit of Round to two decimal places as needed.)

Explanation / Answer

1. Assumption is C. The population is normally distributed

2. z for 95% confidence is 1.96

thus lower limit is mean-z*s/sqrt(N)= 83-1.96*19/sqrt(12)=72.25

Upper limit is mean+z*s/sqrt(N)=83+1.96*19/sqrt(12)=93.75

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