Discussion:
Hypothesis test for the population mean: Z test
A leasing firm claims that the mean number of miles driven annually μ , in its leased cars is less than 13340 miles. A random sample of 13 cars leased from this firm had a mean of annual 13239 miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1680 miles. Assume that the population is normally distributed. Is there support for the firm's claim at the 0.1 level of significance?
Perform a one-tailed test. Then fill in the table below.
The null hypothesis H0
The alternative hypothesis H1
The type of test statistics
Z
T
Chi square
F
The value of the test statistic (round to at least three decimal places)
The critical value at the 0.1 level of significance
Can we support the leasing company's claim that the mean number of miles driven annually is less than 13,340 miles? Yes or No