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The heights of UNC sophomores are approximately normally distributed. The heights in inches of 8 randomly...

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Statistics

The heights of UNC sophomores are approximately normallydistributed. The heights in inches of 8 randomly selectedsophomores are shown below. Use these heights to find a 95%confidence interval for the average height μ of UNC sophomores.Give the endpoints of your interval to one decimal place.

72, 69, 70, 68, 70, 66, 75, 64

a) Use these heights to find a 95% confidence interval for theaverage height μ of UNC sophomores. Give the endpoints of yourinterval to one decimal place.

95% confidence interval: (  ,  )

b) Using the 8 data points above, conduct a test of followinghypotheses at level of significance α=0.05:

H0: μ = 67; Ha: μ > 67

Find the sample mean x, the sample standard deviation s, theappropriate t-statistic and p-value. Use Excel when necessary andgive all answers to four decimal places.

Sample mean =  
Sample standard deviation =  
t =  

p=

Answer & Explanation Solved by verified expert
4.2 Ratings (746 Votes)
n8calculate the sample mean and sample standard deviation forgiven datawe get6925 s 34122ac 95fomula for    See Answer
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