Project #1334 - STATS

 

1. Consider the following charts:

a. Which plot represents left and right handed people? 1

page1image2312 page1image2480

b. Which plot represent SAT scores?
2. Consider the following discrete probability distribution:

x Pr(x)

  1. 0  0.25

  2. 1  0.50

  3. 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:

page2image9584 page2image9744 page2image9904

2

SUMMARY OUTPUT

Regression Statistics

page3image1272 page3image1432

Multiple R
R Square Adjusted R Square Standard Error Observations

ANOVA

0.948413871 0.899488871 0.882737016 0.654208646

8

page3image4112 page3image4272

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

page3image7616

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

page3image10704 page3image10864 page3image11024 page3image11184

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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