The research director at the Nie Pójdzie Motor Club wasinterested whether the annual miles driven by residents of Arkansaswas greater than the 2019 average of 13,452 annual miles for adriver in the South Central region. A random sample of licensedArkansan drivers was drawn, and a hypothesis test was performedusing the .05 significance level. Some parts of the output areshown below. Please answer the following questions (a to g) usingthe 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 yourdecision using the output.
