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 14 users of Prepara These samples are chosen independently These data are shown in the table StudyFocus Prepara Send data to calculator v Scores 550 483 434 512 565 395 446 420 511 505 445 417 435 557 469 455 528 523 518 549 530 547 533 489 565 509 551 553 530 516 Send data to Excel Assume that the two populations of scores are approximately normally distributed Can the researcher conclude at the 0 01 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 H and the alternate hypothesis H HO H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places d Find the two critical values Round to three or more decimal places and e At the 0 01 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 OYes O No I X 5 0 0 X a S 2 00 OSO 0 0 p 100 020 S 0 0