Using the accompanying probability distribution, find the following values

X P(x)

1 .25

2 .27

3 .05

4 .43

a) Mean

b) Standard Deviation

Assume that the cure rate for a certain drug is 20% and that 15 patients are tested with this drug. Find the following:

a) Mean

b) Standard Deviation

c) P (exactly 4 cures)

d) P (exactly 4 cures)

A snack company distributes chips in bags labeled 6 ounces. The local Bureau of Weights and Measures randomly selects 50 bags of chips and obtains a sample mean of 5.9 ounces. Assuming that the standard deviation is known to be 0.8, test the claim at the .05 significance level that the bags contain less than 6 ounces. Identify the following:

a) The Null Hypothesis

b) Critical Value

c) Test Statistics

d) Your Conclusion regarding the Null Hypothesis

e) Your Statement regarding the claim.