Before beginning work on this question, make sure you have a blank sheet of paper to show the work requested below. (a) Scores on a national professional licensing exam follow a normal distribution with a mean of 70 and a standard deviation of 10. If a student had to score at least an 36 to pess, what is the probability that a student passad? Show all of your work on the top third of your paper, and enter your answer below. Round your answer to four decimal places.) (b) using the same normal distribution for exam scores, (mean 70 and standard deviation 10), find the probability that the average score for students is 56 or higher. Show all of your work on the middle third of your paper and round your answer to four decimal places.) (c) Suppose that in the past, the population mean for all students taking this licensing exam was 70. Due to changes in the educational programs for these professionals, researcher think perhaps that the mean score is now higher. On the bottom third of your paper, state appropriate null and alternative hypotheses for this situation.

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Before beginning work on this question, make sure you have a blank sheet of paper to show the work requested below.
(a) Scores on a national professional licensing exam follow a normal distribution with a mean of 70 and a standard deviation of 10. If a student had to score at least an 56 to pass, what is
the probability that a student passed?
Show all of your work on the top third of your paper, and enter your answer below. Round your answer to four decimal places.)
(b) Using the same normal distribution for exam scores, (mean 70 and standard deviation 10), find the probability that the average score for 9 students is 56 or higher.
Show all of your work on the middle third of your paper and round your answer to four decimal places.)
(c) Suppose that in the past, the population mean for all students taking this licensing exam was 70. Due to changes in the educational programs for these professionals, researcher think
perhaps that the mean score is now higher. On the bottom third of your paper, state appropriate null and alternative hypotheses for this situation.
Transcribed Image Text:Before beginning work on this question, make sure you have a blank sheet of paper to show the work requested below. (a) Scores on a national professional licensing exam follow a normal distribution with a mean of 70 and a standard deviation of 10. If a student had to score at least an 56 to pass, what is the probability that a student passed? Show all of your work on the top third of your paper, and enter your answer below. Round your answer to four decimal places.) (b) Using the same normal distribution for exam scores, (mean 70 and standard deviation 10), find the probability that the average score for 9 students is 56 or higher. Show all of your work on the middle third of your paper and round your answer to four decimal places.) (c) Suppose that in the past, the population mean for all students taking this licensing exam was 70. Due to changes in the educational programs for these professionals, researcher think perhaps that the mean score is now higher. On the bottom third of your paper, state appropriate null and alternative hypotheses for this situation.
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