(a) Calculate 95 percent and 99 percent confidence intervals for µ . (Round your

ID: 3060289 • Letter: #

Question

(a) Calculate 95 percent and 99 percent confidence intervals for µ. (Round your answers to 3 decimal places.)

(b) Using the 95 percent confidence interval, can we be 95 percent confident that µ is at least 50 pounds? Explain.

(Click to select)NoYes , 95 percent interval is (Click to select)belowabove 50.

(c) Using the 99 percent confidence interval, can we be 99 percent confident that µ is at least 50 pounds? Explain.

(Click to select)YesNo , 99 percent interval extends (Click to select)belowabove 50.

(d) Based on your answers to parts b and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market?

(Click to select)NotFairly confident, since the 95 percent CI is (Click to select)abovebelow 50 while the 99 percent CI contains 50.

95 percent confidence intervals for µ is [, ]. 99 percent confidence intervals for µ is [, ].

solutiona:

z crit for 95%=1.96

z crit for 99%=2.576

95% confidence interval for true mean is

50.577-1.96*1.60/sqrt(35),50.577+1.96*1.60/sqrt(35)

50.047,51.107

95 percent confidence intervals for µ is 50.047,51.107

99% confidence interval for true mean is

50.577-2.576*1.60/sqrt(35),50.577+2.576*1.60/sqrt(35)

49.880,51.274

99 percent confidence intervals for µ is

49.880,51.274

Solutionb:

Yes , 95 percent interval is above 50.

solutionc:

Yes , 99 percent interval extends above 50.

solutiond:

Fairly confident, since the 95 percent CI is above 50 while the 99 percent CI contains 50.

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