Researchers are interested in whether the pulse of long-distance runnersdiffers from that of other athletes. They obtain a random sample of 8 longdistance runners, measure their resting pulse, and obtain the following data: 45, 42, 64, 54, 58, 49, 47, 55.

The average resting pulse of athletes in the general population is 60 beats per minute. Test the null hypothesis at the 0.01 level of significance. If appropriate (because the null hypothesis is rejected).

Required:
Construct a 99 percent confidence interval for the population mean, based on the sample mean.

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4