Below is a hypothesis test set up by a student who recently took introductory statistics: h0: x = 5 ha: x ≠ 5 the sample mean of 100 cases used to implement the hypothesis test is x = 4.2. which of the following statements are accurate? a. this is a one-sided hypothesis test. b. there is an error in how these hypotheses were constructed. c. it would be reasonable to swap "< " for "≠" in the alternative hypothesis. a. i only b. ii only c. iii only d. i and ii e. i and iii f. ii and iii

More challenges: 1) factor out the indicated quantity.8mn² + 7mn - m : factor out the quantity -m2) factor the polynomial by grouping.2vw + 7cv + 14cw + 49c²3) factor completely using the difference of squares along with factoring by grouping.25v³ - 25v² - 4v + 44) factor the sum of cubes. 125x³ + 645) q³ + 27r³6) factor completely. use difference of squares.729p^6 - 6^67) solve the equation(7x + 4)(9x - 1) = 08) a. find the values of x for which f (x) = 0b. find f (0)f (x) = x² + 2x - 489) find the x and y-intercepts for the function defined by y = f (x)f (x) = (x + 3)(x + 4)(x - 1)²10) factor the trinomial completely by using any method. remember to look for a common factor first. 3v² - 2v - 16