this is statistics course and I need help with answering these questions. I attached formulas in case you can use it as a reference.Thank you
II. Probability PM U B) = PM) + P(B] Pull n B) m = Lag?) Var-(X) = 0% = 2m 11:39-19: If X has a binomial distribution with parameters :1 and p, then: P(X = k) = (:)pt(1_ 13)": \"3:74!\" If E la the mean ofa random sample ofsize n from an innite population with mean p and standard deviation 0', then: T 0' \"i=7: III. Inferential Statistics Standardized test statistic: statistic - parameter standard deviation of statistic Confidence interval: statistic + (critical value) . (standard deviation of statistic) Single-Sample Statistic Standard Deviation of Statistic Sample Mean Sample Proportion p(1 - p) n Two-Sample Statistic Standard Deviation of Statistic Difference of sample means n2 Special case when 0 =02 Difference of P (1 - PI) + P2 (1 - P2) sample proportions n 1 n2 Special case when P = P2\fD Question 35 1 pts The mean composite ACT score is a 21, with a standard deviation of 5.2. The mean composite SAT score is a 1490, with a standard deviation of 84. Mike scores a 1530 on the SAT and a 24 on the ACT. If Mike can only send one of his test results to the college of his choice, which of the following methods could be used to determine which score is the more competitive? 1. Residuals 11. Percentiles Ill. Z-scores O I only O I and II only O I and Ill only O Il and Ill only O I, II, and IllD Question 34 1 pts The mortality rate for adult white-tailed deer is 20 percent. The mortality rate of white-tailed fawns is 50 percent, however, if the mother dies, the mortality rate goes up to 90 percent. In a litter of one fawn, which of the following tables shows the probability distribution of survival for a doe and her fawn. O x Doe and Fawn Survive Only Doe Survives Only Fawn Survives p(x) x Doe and Fawn Survive Only Doe Survives Only Fawn Survives p(x) 10 O x Doe and Fawn Survive Only Doe Survives Only Fawn Survives p(x) 0.42 0.80 0.10 O X Doe and Fawn Survive Only Doe Survives Only Fawn Survives p(x) 0.40 0.40 0.02 x Doe and Fawn Survive Only Doe Survives Only Fawn Survives o(x) 0.70 0.80 0.10D Question 33 1 pts Suppose that the distribution of weights of primates in a population is approximately normal with a mean of 66 pounds and a standard deviation of 9 pounds. If you randomly select one of the primates from the population, what is the probability that it weighs more than 84 pounds? O 0.370 O 0.098 O 0.046 O 0.037 O 0.023D Question 32 1 pts The marketing director at a local automotive repair company is interested in determining the effectiveness of the company's direct mail marketing campaign. The director identifies six target neighborhood where customers of the repair service live, and mails the households in those neighborhoods a coupon for 30% off an oil change. Each mailer has a special code to identify the house and the neighborhood. Over the course of the next month, the director counts the number of coupons redeemed for oil changes from each neighborhood to try to determine where their direct mail marketing is most successful. This is an example of: Stratified random sampling O Convenience sampling Cluster sampling Multi-stage sampling O Systematic sampling
