1Describe the following data five different ways include num

1)Describe the following data five different ways (include numbers in your answer):

Data: 13, 10, 15, 11, 12, 12, 7, 8, 16, 14

a)                            

b)                            

c)                            

d)                            

e)                            

2)In a normal distribution of measurements having a mean of 500 feet and a standard deviation of 80 feet, what percent of the distribution falls between 300 and 450 feet?

              %

3)You have just performed a linear regression analysis on successive values of a time series and you see autocorrelation. What might your r2 be equal to?

r2 =                    

4)The null hypothesis is Ho: µ = 10, and the alternative hypothesis is Ha: µ 10. Assume alpha = 0.01. If the null hypothesis was rejected, what would the 99% confidence interval for µ look like?

a) (12.1, 15.3)           b) (8.5, 12.1)             c) (5.3, 15.5)             d) (9.8, 10.5)

Solution

Q2.

Mean ( u ) =500
Standard Deviation ( sd )=80
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
To find P(a < = Z < = b) = F(b) - F(a)
P(X < 300) = (300-500)/80
= -200/80 = -2.5
= P ( Z <-2.5) From Standard Normal Table
= 0.00621
P(X < 450) = (450-500)/80
= -50/80 = -0.625
= P ( Z <-0.625) From Standard Normal Table
= 0.26599
P(300 < X < 450) = 0.26599-0.00621 = 0.2598