The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. College Grads High School Grads 469 487 492 442 534 517 580 478 650 510 479 425 554 426 486 485 566 531 528 390 588 578 524 535 481 448 592 485 (a) Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. (Let u, = population mean verbal score of students whose parents are college graduates with a bachelor's degree and u, = population mean verbal score of students whose parents are high school graduates but do not have a college degree.) O Ho: H - H2 = 0 H: Hy- Hz #0 O Ho: H1 - H2 < 0 Hgi Hy - Hz = 0 O Ho: H2 - Hz # 0 H: Hy - Hz = 0 Ho: H – H2 5 0 Hai Hy- Hz > 0 Hoi Hy- Hz Z O Hi Hy - Hz

When reading a problem, one must be aware of the sample size to determine if it is a Z-score or T-score problem. True or false

A director of research for a radio company conducted a survey of listener preferences and collected information on demographics as well as preferred music. When reviewing the results, he discarded all responses in which a non-Hispanic listener chose Spanish-language music as the favorite genre. Is this an acceptable practice in statistics? Why or why not? Please use terminology associated with statistical practices to explain your answer.

Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1783 people and found that 553 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.

A real-estate appraiser wants to verify the market value for homes on the east side of the city that are very similar to size and style. The appraiser wants to test the popular belief that the average sales price is $37.80 per square foot for such homes. Suppose that a random sample of six sales were selected. The sampled sales prices per square foot are $35.00, $38.10, $37.20, $29.80, $30.30, and $35.40. Assuming a normal distribution is a good model for sales, test the claim that the mean sales price per square foot differs from $37.80 at the 1% significance level.

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?