Determine the probabilities for the following normal distribution problems.

=51

=12

x=71

P(x71)=

Determine the probabilities for the following normal distribution problems.

=54

=10

x=75

P(x75)=

Determine the probabilities for the following normal distribution problems.

=52

=14

P(34x64)=

A population has a mean of50and a standard deviation of 24. If a random sample of30 is taken, what is the probability that the sample mean is greater than 55?

P(x55)=

A population has a mean of51and a standard deviation of21. If a random sample of34is taken, what is the probability that the sample mean is less than56?

P(x<56)=

A population has a mean of53and a standard deviation of23. If a random sample of37 is taken, what is the probability that the sample mean is between50and55?

P(50

Use the following information to construct the confidence intervals specified toestimate 95% confidence interval for

x=31 =4.5 andn=80

Lower Confidence Limit (L.C.L)=

Upper Confidence Limit (U.C.L)=

Use the following information to construct the confidence intervals specified toestimate98% confidence interval for

x=25

=10.0 and n=58

Lower Confidence Limit (L.C.L)=

Upper Confidence Limit (U.C.L)=

If a random sample ofn=41

41items producesx=127ands=24.4, what is the98%confidence intervaltoestimate

Lower Confidence Limit (L.C.L)=

Upper Confidence Limit (U.C.L)=