Question

) The manufacturer claims that your new car gets 32 mpg on the highway with the standard deviation 5.5 mpg. You suspect that the mpg is more for your car. The 43 trips on the highway that you took averaged 33.3 mpg and. At the 5% significance level of significance, use the 4-step hypothesis testing to test if the manufacturer meets their claim (#’s 11 – 14) (11) State the null and alternate hypothesis

(12) Determine the test statistic

(13) Determine the p - value

(14) At the 5% significance level, determine if the manufacturer meets their claim. Explain your answer in relation to the context.

Answer 1

11)

H0: = 32

Ha: > 32

12)

Test statistics

z = ( - ) / ( / sqrt(n) )

= ( 33.3 - 32) / (5.5 / sqrt(43) )

= 1.55

13)

p-value = P(Z > z)

= P(Z > 1.55)

= 1 - P(Z < 1.55)

= 1 - 0.9394

= 0.0606

14)

Since p-value > 0.05 significance level, Fail to reject the null hypothesis.

We do not have sufficient evidence to support the claim that the mpg is more for your car.