The critical values ( \( z_{\text {crit }} \) ) for the z-test are \( \pm 1.96 \) for \( a=.05 \) in a two-tailed distribution. The obtained calculated \( z \)-test statistic for the sample data is \( z=-1,0 \). The correct statistical decision is: reject the null (HO). reject the alternative (H1). accept the alternative (H1)

Find the percentile of the data value. Data set: \( 3,13,10,6,3,3,13,6,3,13,2,13,15,4,9,3,12,10,6,13 \); data value: 6

The test scores of 40 students are listed below. Find \( \mathrm{P}_{85} \). \( \begin{array}{l}30,35,43,44,47,48,54,55,56,57,59,62,63,65,66,68,69,69,71,72,72,73, \\ 74,76,77,77,78,79,80,81,81,82,83,85,89,92,93,94,97,98\end{array} \)

How many college students are needed to estimate the mean grade point average of all current college students in the United Sates within 20\% percentage points with a \( 99 \% \) confidence. An earlier study gave an estimate of 0.79 for the population standard deviation. \( \mathrm{n}= \)

The regression equation is \( \bar{y}=4.2 \) decimal places if necessary.) For \( x=5.8, \hat{y}=74.66 \) (Round to two decimal places if necessary.) For \( x=11.5, \hat{y}=98.6 \) The prenatal care percent for 11.5 interpolation, while the one for 5.8

Question 8 The heights of 10 -year-olds, regardless of gender, closely follow a Normal distribution with a mean of 56 inches and a standard deviation of 5 inches. a. What is the probability that a randomly chosen 10 -year-old is shorter than 48 inches? (Round to 4 decimal places.) b. If the tallest \( 10 \% \) of the class is considered "very tall", what is the height cutoff for "very tall"? (Round to 2 decimal places.) [SAB2]