In: Statistics and Probability
The research director at the Nie Pójdzie Motor Club was interested whether the annual miles driven by residents of Arkansas was greater than the 2019 average of 13,452 annual miles for a driver in the South Central region. A random sample of licensed Arkansan drivers was drawn, and a hypothesis test was performed using the .05 significance level. Some parts of the output are shown below. Please answer the following questions (a to g) using the output below. (3.5 pts.)
AR |
µ0 |
|
Mean |
13962 |
13452 |
Variance |
11685261 |
|
Observations |
50 |
|
Pearson Correlation |
#DIV/0! |
|
Hypothesized Mean Difference |
0 |
|
df |
? |
|
t Stat |
1.0550 |
|
P(T<=t) one-tail |
0.1483 |
|
t Critical one-tail |
1.6766 |
|
P(T<=t) two-tail |
0.2966 |
|
t Critical two-tail |
2.0096 |
a) What are the degrees of freedom?
b) State the H0 and Ha.
c) Identify the decision rule using the critical value of t (round to three decimal places).
d) Identify the decision rule using the p value method.
e) State the test statistic (t calc)
f) What is the p value?
g) Do you reject or not reject H0? Explain your decision using the output