1 1 SAT For a specific year, the national average score on the SAT Math test 2 496 was 515. 3 505 A superintendent wishes to see if their students scored, on average, 4 522 significantly below the national average on the test. They randomly 5 519 selected 36 student scores, as shown. 6 287 7 243 (a) At a 0.10 significance level, perform attest to test if there is enough evidence to support the superintendent's claim. Provide the output below starting at the Yellow highlighted cell. 8 506 522 10 668 11 516 12 523 13 509 14 507 15 531 16 543 17 714 18 576 19 523 20 505 21 762 22 519 23 517 24 516 25 503 26 438 27 513 28 349 29 511 30 515 (b) Compute a 90% confidence interval for the average SAT score of 31 414 the students of this superindent. Provide your final anwers in the 32 499 yellow highlighted cells below. ( Keep 3 or more decimal places) Show 33 493 your work below those cells. 34 506 35 551 36 500 Lower 37 504 Upper 38

If the p-value of a test is .037 then you would

Every year during home football games the Carroll College fans do push-up contests to see how many they can do. Suppose that a curious stats student in the stands kept track of the number of push-ups completed for several students of both genders. Males 31 31 24 18 30 16 28 13 26 23 Females 16 11 10 1 26 26 6 9 16 32 Consider the hypothesis that males in this contest can do more pushups than females. Use an  significance level to test the claim.  The test statistic is   Construct a 99% confidence interval for the mean of the differences between males and females.

Police Calls The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies?

4. Use a 0.05 significance level to test the claim that gender and left-handedness are independent. Male Female Left-handed 83 184 Right-handed 17 16

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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of​ 55, 71 dream in black and​ white, and among 288 people under the age of​ 25, 14 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. Test the claim using a hypothesis test.   Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: p1=p2 H1​: p1<p2   B. H0​: p1≥p2 H1​: p1≠p2   C. H0​: p1≠p2 H1​: p1=p2   D. H0​: p1≤p2 H1​: p1≠p2   E. H0​: p1=p2 H1​: p1>p2 Your answer is correct.   F. H0​: p1=p2 H1​:…

In a statistics class, 10 scores were randomly selected, and the following results were obtained: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66 What is the 90thpercentile? What is the first quartile (or 25thpercentile)? What is the third quartile (or 75thpercentile)?

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