Question

The level of significance can be: 10. a. any number between -1.0 and 1.0 b. any number greater than zero c. any number greater than 1.96 or less than -1.96. d. None of these choices 11. a. b. c. d. Which of the following is an appropriate null hypothesis? The mean of a population is equal to 60. The mean of a sample is equal to 60 The mean of a population is not equal to 60. All of these choices are true. 12. a. The mean of a population is equal to 70. b. The mean of a sample is equal to 70 c. The mean of a population is greater than 70 d. The mean of a sample is greater than 70. Which of the following would be an appropriate alternative hypothesis? 13 than 45 when the actual mean is 50? a. We have made a Type I error b. We have made a Type Il error c. We have made both a Type I error and a Type Il error d. We have made the correct decision Suppose we wish to test Ho: μ-45 vs. H1: μ > 45. what will result if we conclude that the mean is greater

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Answer 1

10. The level of significance is the probability of rejecting the null hypothesis when it is true, and the probability is always positive and less than or equal to 1 i.e. 0 ≤ p(A) ≤ 1. (a.states that values can negative; b states that values can be above 1; c states that below -1.96 and above 1.96 are possible which is incorrect) hence correct choice is d. None of these choices.

11. In b and d, the statements made for samples which is not correct as hypotheses made in testing of hypothesis are for population parameter. The null hypothesis states that a population parameter is equal to a hypothesized value, and the alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value. Hence, a. The mean of population is equal to 60. is correct answer

12. As explained in 11, alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value. So, c. The mean of a population is greater than 70. is correct.

13. The actual mean is 50 (> 45) and we conclude that the mean is greater than 45, that's a correct decision, hence d. We have made the correct decision. is correct answer.