This problem is fill in the blank.Just choose the correct answers.Thank you for your help

BIG Corporation advertises that its light bulbs have a mean lifetime,, of at least

3000hours. Suppose that we have reason to doubt this claim and decide to perform astatistical testof the claim. We choose arandom sampleof light bulbs manufactured by BIG and find that themeanlifetime for this sample is2860hours and that the samplestandard deviationof the lifetimes is750hours.

Based on this information, answer the questions below.

1.What are the null hypothesis (H₀) and the alternative hypothesis (H₁) that should be used for the test?

H_{0:(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.}

(choose one) 750 hours, 3000 hours, or 2860 hours.

H_{1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.}

_{(Choose one)} 750 hours, 3000 hours, or 2860 hours.

2.In the context of this test, what is a Type I error?

A type one error is (choose one) rejecting or failing to reject the hypothesis the is (choose one) _{less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (choose one)}

_{(Choose one)} 750 hours, 3000 hours, or 2860 hours when, in fact, is _{less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to}

_{(Choose one)} 750 hours, 3000 hours, or 2860 hours.

3.Suppose that we decide to reject the null hypothesis. What sort of error might we be making?(Choose one)Type I or Type II