Use the \( t \)-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance \( \alpha \), and sample sizes \( n_{1} \) and \( n_{2} \). Assume that the samples are random and independent, and the populations are normally distributed. Complete parts (a) and (b) \( H_{a} \mu_{1}>\mu_{2}, \alpha=0.10, n_{1}=6, n_{2}=8 \) Click the icon to view the t-distribution table (a) Find the critical value(s) assuming that the population variances are equal.

Baseball regression line prediction: Suppose the regression line for the number of runs scored in a season, \( y \), is given by \( \hat{y}=-730+4300 x \), where \( x \) is the team's batting average. a. For a tearn with a batting average of 0.235 , find the expected number of runs scored in a season. Round your answer to the nearest whole number. b. If we can expect the number of runs scored in a scason is 480 , then what is the assumed team's batting average? Round your onswer to three deeima! places.

Why is data collection appropriate for this two-sample proportion procedure? Because the order of applying the two treatments to each doctor was randomized in this matched pairs design. Because two separate simple random samples were taken-one from each population. Because the doctors were randomly allocated to the two treatments (aspirin and placebo).

You run a regression analysis on a bivariate set of data ( \( n=88 \) ), You obtain the regression equation \[ y=0.231 x-8.928 \] with a correlation confficient of \( r=0.38 \) (which is significant at \( \alpha=0.01 \) ), You want to predict what value (on average) for the explanatory variable will give you a value of 90 on the response variable. What is the predicted explanatory value? \( x=\square \)

Knowing that \( 99.7 \% \) of all \( z \)-scores are between -3 and +3 , what is the \( P \)-value for \( z=-5.14 \) ? 0.000 0.0514 0.2981

How do you identify the relationship between two variables in a scatter plot?