Standardized test scores For his Statistics class experi-ment, researcher J. Gilbert decided to study how parents’ income affects children’s performance on standardizedtests like the SAT. He proposed to collect informationfrom a random sample of test takers and examine therelationship between parental income and SAT score.a) Is this an experiment? If not, what kind of study is it?b) If there is relationship between parental incomeand SAT score, why can’t we conclude that differencesin score are caused by differences in parentalincome?

Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2) Using the difference data, the sample mean difference was d = $850, and the sample standard deviation was så = $1,123. a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. Ho : μα ♦ Select your answer - Ha d + - Select your answer - b. Use a = = 0.05 level of significance. Can you conclude that the population means differ? - Select your answer - ◆ What is the p-value? (to 6 decimals) c.…

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.

Restaurant Bill by GenderA study compared the cost of restaurant meals when people pay individually versus splitting the bill as a group. In the experiment half of the people were told they would each be responsible for individual meals costs and the other half were told the cost would be split equally among the six people at the table. In the study, the diners were also chosen so that half the people at each table were female and half were male. We can test for a difference in mean meal cost between females (n1=24, x¯1=44.46, s¯1=15.48) and males (n2=24, x¯2=43.75, s2=14.81).Let group 1 and group 2 be the meal costs for females and males, respectively.   state the null and alternative hypotheses calculate the relevant test statistic find the p-value