From her firm's computer telephone log, an executive found that the mean length of 63 telephone calls during July was 4.10 minutes with a standard deviation of 5.42 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 45 telephone calls whose mean was 2.979 minutes with a standard deviation of 2.062 minutes.

(a)Choose the appropriate hypotheses for a right-tailed test. Assume₁is the average call length in July and₂is the average call length in August.

a.H₀:₁-₂ 0 vs.H₁:₁-₂> 0

b.H₀:₁-₂< 0 vs.H₁:₁-₂ 0

multiple choice 1

• a
• b

(b-1)Obtain a test statistict_calcandp-value assuming unequal variances.(Use the quick rule to determine degrees of freedom. Round your answers to 3 decimal places.)

t_calcp-value

(b-2)Interpret the results using= .01.

(Click to select)

Reject

Do not reject

the null hypothesis.

(b-3)What is your conclusion at= .01?

We

(Click to select)

cannot

conclude the length of calls had been reduced.