A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24 . Use the \( \pi 1-83 \) Plus/71-84 Plus calculator. Part 1 of 2 (a) Find the probability that \( \bar{x} \) will be less than 89 . Round the answer to at least four decimal places. The probability that \( \bar{x} \) will be less than 89 is 0.3499 . Part: \( 1 / 2 \) Part 2 of 2 (b) Find the \( 35^{\text {th }} \) percentile of \( \bar{x} \). Round the answer to at least two decimal places. The \( 35^{\text {th }} \) percentile is 80.84 ? Try again Save for Later Skip Part Recheck
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The SEM is calculated using the formula: \[ SEM = \frac{\sigma}{\sqrt{n}} \] where \( \sigma \) is the population standard deviation and \( n \) is the sample size. Show more…
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