1. A patient is tested for Covid – 19 and tests positive. It is…

Question Answered step-by-step 1. A patient is tested for Covid – 19 and tests positive. It is… 1. A patient is tested for Covid – 19 and tests positive.  It is later discovered that it was a false positive, and patient actually does not have Covid – 19.  The is an example ofa. A correct resultb. Type III errorc. Type II errord. Type I error   2. Decreasing the standard deviation has what type of impact on a specific confidence interval?         a. The interval gets narrowerb. The center increasesc. The interval widensd. The interval width remains unchanged   3. If an observation has a z-score of -4.2, then  a. The observation is below the meanb. The observation is at the 4th percentilec. All of the data points are the same numberd. A computation error was madee. The mean is less than the median   4. If a data set’s standard deviation is -4.2, then  a. The mean is less than the medianb. All of the values in the data set are negativec. All of the data points are the same numberd. A computation error was madee. The observation is below the mean    5. When computing the minimum sample size needed to obtain a specific margin of error, which value of the sample proportion (p-hat) provides the largest value of n?a. 0.50b. 0.90c. 0.01d. 0.99    6. The M&M Mars company is considering a change to the colors of their M&Ms candies.  They are considering removing the brown color and replacing it with pink.  The company randomly selects a group of 150 potential customers.  The company then asked them if they prefer the pink M&Ms or the brown M&Ms. Eighty one of the potential customers preferred the brown M&Ms.  What statistical procedure would be conducted to test whether a majority (over 50%) of the potential customers prefer brown? a. 1PropZIntervalb. Z-Testc. T-Testd. Z-Intervale. 1PropZTest    7. Based on responses of 1467 subjects in a General Social Survey, a 95% confidence interval for the mean number of close friends is (6.8, 8.0).  Which of the following is correct?a. We know that the population mean is between 6.8 and 8.0.b. If random samples of size 1467 were repeatedly selected, then in the long run 95% of the confidence intervals formed would contain the true value of the population mean.c. If random samples of size 1467 were repeatedly selected, then 95% of the time d. We can be 95% confident that the sample mean is between 6.8 and 8.0.    8. A large bin contains a very large number of marbles.  Some of these marbles 40%) are white, others (35%) are scarlet and the remainder are grey. A random sample of 150 chips will be selected.  What is the value of the standard deviation of the sampling distribution of the sample proportion that are white?    9. A survey of workers at a local business indicates that 52% of a sample of 300 employees have received this year’s flu vaccine. An approximate 95% confidence interval for the proportion of all employees at the business that have received this year’s flu vaccine is 0.463 < p < 0.577. (a) What is the value of the point estimate for this confidence interval?(b) What is the value of the margin of error for this confidence interval?   10. Suppose that SAT scores are normally distributed with a mean of 1040 and a standard deviation of 180.  Answer each question below, rounding to three decimal places as necessary.a. (2 points) What proportion of SAT scores are more than 1100?b. (2 points) An SAT score of ___________ is the 43rd percentile.c. (2 points) What proportion of SAT scores are between 800 and 1300?d. (3 points) What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size n = 64? e. (2 points) For a random sample of 64 SAT scores, what is the probability that the sample mean SAT score is less than 1100?    11. Suppose that in a random sample of 100 voters, 64 plan to vote for a particular candidate.  For each question below, write your answer as a decimal, rounding to three places as necessary.a. (2 points) Find a point estimate for p, the population proportion of all voters who plan to vote for the candidate.b. (3 points) Construct a 90% confidence interval for the population proportion of voters who plan to vote for the candidate.c. (3 points) What sample size is needed so that a 95% confidence interval has a margin of error of 0.04?  Use the preliminary estimate given in this problem.d. (3 points) What sample size is needed so that a 95% confidence interval has a margin of error of 0.04?  Assume no preliminary estimate was available.   14. Ten cars were equipped with radial tires and driven over a test course. Then the same 10 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in mpg) was measured.  We would like to predict the regular MPG from the radial MPG.Car 12345678910Radial MPG       19.320.524.924.925.220.021.826.226.832.7Regular MPG19.120.922.021.624.819.922.227.825.738.2 The corresponding scatterplot is given below.                 a. (4 points) Label the x and y axes with the appropriate variable names.b. (4 points) Describe the association and form of the relationship displayed in this scatterplot.c. (2 points) Based on the scatterplot, would radial MPG be an accurate predictor of regular MPG?  Why or why not?d. (3 points) Using your calculator, compute the correlation between radial MPG and regular MPG, rounding to three decimal places as necessary.e. (2 points) Using your calculator, find the least-squares regression line for predicting the regular MPG using the radial MPG.  Round your slope and interpret to three decimal places as necessary.f. (2 points) Interpret the slope in context.g. (3 points) Using the regression equation you found in part (e), predict the regular MPG when the radial MPG is 22.2.h. (2 points) The radial MPG for two cars differs by 4 miles per gallon.  How much should we expect the regular MPG to differ?      15. Buckeye Donut Store predicted November donut sales would be 2400.  Buckeye Donut Store actually sold 2650 donuts in November. Using a smoothing constant of α = 0.10, forecast the December donut sales using an exponential smoothing model.  Math Statistics and Probability STAT 1430.01 Share QuestionEmailCopy link Comments (0)