ACT scores of high school seniors, statistics homework help

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ACT scores of high school seniors, statistics homework help

Please show work for this HW I need it more the answers

ACT scores of high school seniors. The scores of your states high school seniors on the ACT college entrance examination in a recent year had mean =22.3 and standard deviation = 5.2. the distribution of scores is only roughly normal.

1) Now consider an SRS of 16 students who took the test. What are the mean and standard deviation of the sample mean scores x bar of these 16 students?

2) what is the approximate probability that the mean score x bar of these 16 studetns is 27 or higher?