solve and show work respectively. this was all that was provided by the professor

Decide whether each statement is true or false. (1 point each) 11. A continuous random variable cannot take on negative values. (T/F) 12. The standard normal random variable z measures the direction and distance between x and its mean u in units of its standard deviation, o. (T/F) 13. In a binomial distribution, the probability of success is the same on every trial. (T/F) 14. The sample variance is in the same unit of measurement as the data. (T/F) 15. If P(A) > 0, P(B) > 0, and P(AnB) = 0, the events A and B are independent. (T/F) Circle the best answer for each of the following: (1 point each) 16. Which of the values below represents the upper quartile for the data 3, 4, 1, 0. a) 2.0 b) 2.5 c) 0.25 d) 3.5 e) 3.25 17. A researcher wishes to estimate the proportion of fish in a certain lake that is inedible due to pollution of the lake. How large a sample should be tested in order to be 99% confident that the true proportion of inedible fish is estimated to within 7%? A) 339 B) 277 C) 196 D) 139 E) None 18. Of 127 adults selected randomly from one town, 27 of them smoke. Construct a 99% confidence interval for the percentage of all adults in the town who smoke. (A) (11.9%, 28.4%) (B) (12.8%, 29.7%) (C) (14.1%, 28.4%) (D) (11.9%, 30.6%) 19. The number of hours per week that high school seniors spend on computers is normally distributed, with a mean of 6 hours and a standard deviation of 2 hours. 80 students are chosen at random. Let x represent the mean number of hours spent on the computer for this group. Find the probability that x is between 6.2 and 6.9. (A) 0.817 (B) 0.0.371 (C) 0.817 (D) 0.3.130 (E) 0.134 20. Use the given sample data to construct the indicated confidence interval for the population mean. n = 64, x = 27, s= 6 Find a 95% confidence interval for the mean. (A) (25.5, 28.5) (B) (26.3, 27.8) (C) (26.3, 27.2) (D) (26.8, 27.2) (E) (61.7, 66.3)2. The following data represent the number of calories in 12 ounce cans of eight popular soft drinks. What are the minimum, first quartile, median, third quartile, maximum, interquartile range, and range of the data set below? Construct a box plot for this data. (15 points) 124 144 147 146 148 154 150 234 3. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. (15 points) (a) Estimate the value of the population proportion and the standard error. (b) Construct a 95% confidence interval for the percentage of all voters in the state who favor approval. (c) Interpret your interval.Fill in the Blank. (1 point each) 1. uses descriptive statistics to estimate population parameters. 2. The standard deviation of a set of sample data is the of the sample variance. Hard To 3. The standard deviation of a sampling distribution of sample means is equal to the standard deviation of the population divided by the square root of the 4. A professor has received a grant to travel to an archeological dig site. The grant includes funds for three graduate students to accompany the professor. If there are six graduate students available to the professor and all the funds are to be used (i.e., three students will go), how many choices does the professor have? 5. A random variable is normally distributed with u = 100, and o = 20. What is the median of this distribution? 6. Find the critical t-value for a 90% confidence interval with 4 degrees of freedom 7. The standard deviation of the data set 4, 6, 2, and 5 is 8. What is the area under the standard normal distribution between one and two standard deviations below the mean? 9. What is the probability of a z value z0.78? 10. The probability of rejecting a true null hypothesis is called