You may need to use the appropriate appendix table or technology to answer this question.

A sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $129.

(a)Formulate the hypotheses (in dollars) that can be used to determine whether the mean of all account balances is significantly different from $1,140. (Enter != for as needed.)

H₀:

H_a:

(b)Compute the test statistic. (Round your answer to three decimal places.)

(c)Using the p-value approach, what is your conclusion? Let = 0.05.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

-Reject H₀. There is insufficient evidence that the mean balance is significantly different from $1,140.

-Do not reject H₀. There is insufficient evidence that the mean balance is significantly different from $1,140.

-Do not reject H₀. There is sufficient evidence that the mean balance is significantly different from $1,140.

-Reject H₀. There is sufficient evidence that the mean balance is significantly different from $1,140.