Question

According to recent data from the Census Bureau, the average one-way commute time for American workers ages 16 and over is 27.6 minutes. Is the average commute time longer in the state of Georgia? Researchers collected a random sample of 44 Georgia residents ages 16 and over who work outside the home. The average commute time in this sample was 28.8 minutes.

(a) State the appropriate hypotheses to test if the average commute time in Georgia is longer than that of the whole US :
H₀:   
H_a:


(b) This study resulted in a test statistic of 1.38. Interpret this value:
The sample mean is 1.38  --- (standard errors/ minutes) above the  --- (null hypothesis value /true population mean) .

(c) Calculate the p-value:  4decimal places

Answer 1

a) Hypotheses:

Ho: $\small \mu$ = 27.6

Ha: $\small \mu$ > 27.6

b) The sample mean is 1.38 standard errors above the null hypothesis value.

c) p - Value = P(z > 1.38) = 0.0838