Consider the following hypothesis test: h0: latex: \mu_1-\mu_2=0μ 1 − μ 2 = 0 ha: latex: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 the following results are for two independent samples taken from the two populations. sample 1: latex: n_1n 1 = 80; latex: \overline{x}_1x ¯ 1 = 104; latex: \sigma_1σ 1 = 8.4what is the value of the test statistic (round to 2 decimals)? b. what is the p-value (round to 4 decimals)? c. with α = .05, what is your hypothesis testing conclusion? p- h0 - select your answer

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

[15 points]find the quotient with the restrictions. (x^2 - 2x - 3) (x^2 + 4x + 3) ÷ (x^2 + 2x - 8) (x^2 + 6x + 8)

Which is f(5) for the function –2x2 + 2x - 3?