Distribution to create confidence interval

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Q1) Translate excerpt below into confidence interval for p and approximate value of level of confidence, c. In survey of 8464 adults, 30.9% said they were taking vitamin E as a supplement . Survey's margin of error is plus or minus 1%

 

The confidence interval I s......

 

The interval is approximately a ....% confidence interval

 

Q2) In random sample of 70 bolts, mean length was 1.41 inches and standard deviation was 0.07 inch. Use a normal distribution or t- distribution to create a 80% confidence interval for mean.

 

Which distribution should be used to create 80% confidence interval?

 

a) Utilize a t- distribution because n≥30

 

b) Utilize a t- distribution because the lengths are normally distributed and σ is known

 

c) Utilize a normal distribution because the lengths are normally distributed and σ is known

 

d) Utilize a normal distribution because n≥30

 

80% confidence interval is .......

 

Q3) In random sample of 20 people , mean number of books they had read in past year was 13.52 books and standard deviation was 16.60 books. Suppose variable is normally distributed and use t- distribution to create a 98% confidence interval for population mean µ . Determine margin of error of µ.

 

Confidence interval for population mean µ is.....

 

Margin of the error of µ is......

Reference no: EM1320392

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