I need help with these practice quesitons please

26.

A test is made of Ho: M = 65 versus H1: u > 65. A sample of size n = 76 is drawn, and x = 68. The population standard deviation is = 22. Compute the value of the test statistic z.Question 2? Use the multinomial formula and find the probability for the following data. n=6.X1= 3,X2=2.X3= 'l. p1= i158, p2 = 0.25, p3 = {3.1 7" Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the first aid merit badge?Question 29 The confidence level of an interval estimate of a parameter is the probability that the interval estimate will contain the parameter. Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample. n = 103, p = 0.75: P(X > 83)The mean annual tuition and fees for a sample of 11 private colleges was $38,800 with a standard deviation of $6000 A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $34,700. State a conclusion regarding Ho. Use the a = 0.10 level of significance.A sample 0f132 tobacco smokers who recently completed a new smoking-cessation program were asked to rate the effectiveness of the program on a scale of 'I to 10, with 10 corresponding to "completely effective" and 'I corresponding to "completely ineffective\". The average rating was 5.7 and the standard deviation was 4.7. Construct a 95% confidence interval for the mean score. A ferry will safely accommodate 71 tons of passenger cars. Assume that the mean weight of a passenger car is 1.8 tons with standard deviation 0.5 tons. If a random sample of 37 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded?Question 34 A sample of size 7 = 53 is drawn from a population whose standard deviation is = 10.5. Find the margin of error for a 90% confidence interval f Question 35 Compute the value of the correlation coefficient. x 45 44 50 54 42 146 142 157 161 142 Question 36 Find the area under the standard normal curve to the left of z = -2. Question 37 If the equation for the regression line is y' = -5x + 4, then the intercept of this line is Question 38 The range of the correlation coefficient is from 0 to 1. Question 39 Find the probability P(X; A): P(3, 6)A sample of size 71 = 14 has a sample mean x= 8.5 and sample standard deviation s = 2.6. Construct a 95% confidence interval for the population mean /.Question 41 Use the normal approximation to the binomial to find that probability for the specific value of X. n = 40, p = 0.8, X = 28A certain car model has a mean gas mileage of 30 miles per gallon (mpg) with a standard deviation 5 mpg. A pizza delivery company buys 48 of these cars. What is the probability that the average mileage of the fleet is greater than 30.2 mpg?in order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standard deviation of 200. what is the iowest possible score a student needs to quality for acceptance into the university? Question 45 If the equation for the regression line is y' = -5x + 3, then the slope of this line is Question 46 If the equation for the regression line is y' = 7x- 8, then a value of x = 4 will result in a predicted value for y ofIn a survey of 664 cigarette smokers, 60 of them reported that they have tried hypnosis therapy to try to quit smoking. Can you conclude that less than one-tenth of smokers have tried hypnosis therapy? Use the a = 0.05 level of significance.The probability that federal income tax returns will have 0, \"her 2 errors is 0-73, 0-23 , and 0-04, respectively. If "IO randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors? A sample 0f75 chewable Vitamin tablets have a sample mean of 252 milligrams ofvltamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of Vitamin C per tablet differs from 254 milligrams. State the appropriate null and alternate hypotheses. A bottler of drinking water fills plastic bottles with a mean volume of 1007 milliliters (mL) and standard deviation 7 mL. The fill volumes are normally distributed. What proportion of bottles have volumes between 997 mL and 1003 mL?A study of 55 bolts of carpet showed that their average length was 72.2 yards. The standard deviation of the population is 3.6 yards. Which of the following is the 98% confidence interval for the mean length per bolt of carpet? er 1 , 2022 8:15:38 PM EST