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

A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score,

, for thepopulationof all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is85and that the standard deviation is10, but the psychologist believes that the value for the mean has increased. She plans to perform astatistical test. She takes arandom sampleof SI scores for smokers and computes the samplemeanto be95.

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) 85, 95, or 10.

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)} 85, 95, or 10.

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

2.A type I error is:

(choose one) rejecting or failing to reject the hypothesis that 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)} 85, 95, or 10 when, in fact, 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)} 85, 95, or 10.

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