Solve the following statistics and probability questions giving all the steps

(F) What is the 95% confidence interval of the mean time people wait before

farting in front of a romantic partner.

Animal Research (AR) case study

29. (AR) What percentage of the women studied in this sample strongly agreed

(gave a rating of 7) that using animals for research is wrong?

30. (AR) Use the proportion you computed in #29. Compute the 95% confidence

interval on the population proportion of women who strongly agree that animal

research is wrong.

31. (AR) Compute a 95% confidence interval on the difference between the gender

meanconcerningto their beliefs that animal research is wrong.

ADHD Treatment (AT) case study

32. (AT) What is the correlation between the participants' correct number of

responses after taking the placebo and their correct number of responses after

taking 0.60 mg/kg of MPH? Compute the 95% confidence interval on the

population correlation.

Weapons and Aggression (WA) case study

33. (WA) Recall that the hypothesis is that a person can name an aggressive word

more quickly if it is preceded by a weapon word prime than if it is preceded by

a neutral word prime. The first step in testing this hypothesis is to compute the

difference between (a) the naming time of aggressive words when preceded by

a neutral word prime and (b) the naming time of aggressive words when

preceded by a weapon word prime separately for each of the 32 participants.

That is, compute an - aw for each participant.

a. (WA) Would the hypothesis of this study be supported if the difference were

positive or if it were negative?

b. What is the mean of this difference score?

c. What is the standard deviation of this difference score?

d. What is the 95% confidence interval of the mean difference score?

4. [8 marks] 60 % of students who apply to do a masters in statistics have an undergraduate degree in statistics, 25% have an undergraduate degree in mathematics, and 15% an undergraduate degree is a program other than statistics or mathematics. The acceptance percentage is 85%, 75%, and 60% for statistics, mathematics, and other degree respectively. A. [1.5] If an applicant is randomly selected, what is the probability he/she has a degree in mathematics and got accepted? B. [2.5] If an applicant is randomly selected, what is the probability he/she didn't get accepted? C. [4) If an applicant is randomly selected and was found to be accepted, what is the probability he/she has an undergraduate degree from a program other than mathematics or statistics?0.05 QUESTION 11 1.00000 points At a liberal arts college, 90% of the freshmen are enrolled in English 105, 80% are enrolled in Mathematics 101 and 5% are enrolled in Mathematics 101 but not in English 105. A freshman is randomly selected. What is the probability that the freshman is enrolled in English 105 but not in Mathematics 101? noljesup 0.90 O 0.80 O 0.75 0.15 0.05Quantity of Quantity of Subscriptions to Subscriptions to Economics Office Statistics Apps Total Utility Productivity Apps Total Utility per Year (utils) per Year (utils) 30 600 50 1,100 60 1,500 68 1,800 72 2,000 75 2,100 Refer to the above table and assume that each year this consumer buys only annual subscriptions to economics statistics apps and subscriptions to office productivity apps. The price of a subscription to each type of economics statistics app is $4, and the subscription to each office productivity app is $40 per year. If the consumer's available income is $252 per year, the consumer will purchase economics statistics app(s) and office productivity app(s If the consumer's available income falls to $208, what will be the new combination of economics statistics apps and office productivity apps? economics statistics app(s): and office productivity app(s):t Direction - gn Text Shape Outline ~ 4ac Replace Arrange Quick nvert to SmartArt - Styles Shape Effects Select Drawing Editing Bayes' Rule ayes' Rule (General Case): Let A1,..., A, be mutually exclusive and exhaustive events, with P(A;) # 0 for each A. Let B be any event with P(B) #0. Then P(A | B) P(B | A ) P(A.) n [P( B | A,) P(A ) i=1 PERCENTE