Question

The management of White Industries is considering a new method of assembling its golf cart. The present method requires 55.3 minutes, on average, to assemble a cart. The mean assembly time for a random sample of 34 carts, using the new method, was 53.6 minutes, and the standard deviation of the sample was 4.6 minutes.

Using the 0.05 level of significance, can we conclude that the assembly time using the new method is faster?

a. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

Reject H₀: μ ≥ 55.3 and accept H₁: μ < 55.3 when the test statistic is  (Click to select)  equal to less than greater than.

b. What is the value of the test statistic? (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

c. What is your decision regarding H₀?

(Click to select)  Reject  Fail to reject  H₀.

Answer 1

This is the left tailed test .

(a)

n = 34

df = 34 - 1 = 33

Critical value = -1.692

(b)

Test statistic = t

= ( - ) / s / n

= (53.6 - 55.3) / 4.6 / 34

Test statistic = -2.155

(c)

Reject H0