g) at most 4 are left-handed. h) at least 8 are left-handed. i) Is 8 an unusually high number of people that are left-handed in a sample of 12 peopl Yes, because P(X <= 8) <= 0.05

Suppose you sample one value from a uniform distribution with a = 0 and b = 20. a) What is the probability that the value will be between 13 and 19? b) What is the probability that the value will be between 4 and 9? c) What is the​ mean? d) What is the standard​ deviation?

11) In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05.   a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p < 0.75H0: p < 0.75; H1: p = 0.75    H0: p ≠ 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p > 0.75   b) What sampling distribution will you use?  The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5.    The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5.   what is the sample test statistic, round answer to two decimal places?   c) find the P-value of test statistic, round answer to four…

6) As part of a project, you and a group poll 400 students about lunches. 54% of the respondents replied that they preferred pizza. What is the likely interval of students at Hillgrove who prefer pizza?