1. Consider the following charts:
a. Which plot represents left and right handed people? 1
b. Which plot represent SAT scores?
2. Consider the following discrete probability distribution:
x Pr(x)
0 0.25
1 0.50
2 0.25
Find the expected value of the random variable.
3. The lifetime of a brand of DVD player follows a normal distribution with a mean of 8 years and a standard deviation of 6 months. Find the probability that the lifetime is more than 7 years.
4. The manager of a bank would like to demonstrate that the waiting time in line is less than 6 minutes. He samples 100 customers and finds a sample mean of 5.46 minutes and the standard deviation is 2.47 minutes. Let α = .05.
a. Find the null and alternative hypothesis.
b. Find the test statistic.
c. Find the rejection region. d. Will you reject or fail to reject?
5. We now consider hourly temperature x against fuel consumption y. Here is the output:
2
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square Adjusted R Square Standard Error Observations
ANOVA
0.948413871 0.899488871 0.882737016 0.654208646
8
df
F Significance F
22.98082 53.69488 0.00033 0.427989
t Stat P-value Lower 95%Upper 95%Lower 95.0%Upper 95.0%
19.75353 1.09E-06 13.87599 17.79973 13.87599 17.79973 -7.32768 0 -0.17064 -0.08521 -0.17064 -0.08521
SS MS
Regression 1 Residual 6 Total 7
Coefficients
Intercept 15.83785741 x -0.127921715
22.98081629 2.567933713 25.54875
Standard Error
0.801773385 0.01745733
a. Find the least squares regression equation.
b. Find the fuel if the temperature is 10.
c. Find the p value of the x coefficient. Hint: take coefficient divided by standard error and find a two sided p value.
Subject | Mathematics |
Due By (Pacific Time) | 11/29/2012 12:00 am |
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