Hypothesis test for the difference of population means: t.. V For a certain nationwide standardized test there are two commonly used preparation products on the market: StudyFocus and Prepara. A researcher in the Education department at a nearby university wants to determine if there is any difference between the two products on the mean score on the test by their users. The researcher obtains the scores on the test from a random sample of 16 users of StudyFocus and a random sample of 15 users of Prepara. (These samples are chosen independently.) These data are shown in the table. Scores StudyFocus 359, 469, 396, 573, 436, 450, 399, 599, 608, 427, 374, 497, 607, 512, 404, 351 Prepara 560, 509, 539, 565, 470, 530, 610, 484, 526, 560, 516, 506, 540, 537, 533 Send data to calc... v Send data to Excel Assume that the two populations of scores are approximately normally distributed. Can the researcher conclude, at the 0.10 level of significance, that there is a difference between the population mean of the scores on the test by the users of StudyFocus and the population mean of the scores on the test by the users of Prepara? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H1. Ho : D H : D (b) Determine the type of test statistic to use. -0 050 020 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) X 5 (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.10 level of significance, can the researcher conclude that there is a difference between the mean score on the test by the users of StudyFocus and the mean score on the test by the users of Prepara? Yes No