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# Binomial Variable and Hypothesis Testing

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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.

##### Solution Summary

Calculation of Binomial variable and students t test with Null Hypothesis, Alternative Hypothesis, Significance Level, Critical Value, P value. The interpretation of results is also given.

##### Solution Preview

Statistics
________________________________________
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

X P(X) x.P(X) x2.P(X)
1 0.25 0.25 0.25
2 0.27 0.54 1.08
3 0.05 0.15 0.45
4 0.43 1.72 6.88
Total 1 2.66 8.66

Mean =
Variance =V(x)=
Standard Deviation =

Assume that the cure rate for a certain drug is 20% and ...

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.