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INSTRUCTIONS PART II : Questions 11 - 25.
Choose TEN out of the next FIFTEEN questions to complete. You must show all your work and clearly indicate your answer for full credit. CROSS OUT the problems that you do not want graded.
Find the mean of the data summarized in the given frequency distribution.
- The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed.
Speed (mph) Cars 30 - 39 3 40 - 49 18 50 - 59 52 60 - 69 17 70 - 79 10
Find the indicated probability.
- A study conducted at a certain college shows that 62% of the schoolʹs graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. Round your answer to the nearest thousandth.
Test the given claim using the P-value method of hypothesis testing. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
- Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 40 temperatures on 40 different days. Assuming that σ = 1.5°C, test the claim that the population mean is 22°C. Use a 0.05 significance level.
Find the best predicted value of y corresponding to the given value of x.
- The regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is y
^ = 5.50 + 1.91x. Ten pairs of data were used to obtain the equation. The same data yield r = 0.986 and y = 56.3. What is the best predicted productivity score for a person whose dexterity score is 20?
Solve the problem.
- A final exam in Statistics has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than
Find the minimum sample size you should use to construct a confidence interval for a population proportion.
- A researcher wants to estimate the true proportion of college students who use public transportation. She wants to have a confidence level of 95% and a margin of error of 2%. She will also be using information from a previous study that estimates the sample proportion to be 57%. What minimum sample size should she use for her study?
Find the indicated probability.
- A community college estimates that 73% of their students continue on to four year universities. In a sample of 25 students from this college, what is the probability that exactly 16 of them will continue on to a four year university? Round your answer to four decimal places.
Use the given data to construct a frequency distribution.
- The ages of the students in one section of Math 1040 are given below.
18 20 21 24 25 25 26 27 29 29 30 32 33 35 37 39 40 44 46 50
Construct a frequency table for these ages with five classes beginning with a lower class limit of 18. Be sure to calculate the correct class width.
Age Frequency
Find the indicated probability.
- You are dealt three cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that all three cards are hearts.
Test the given claim using the traditional method of hypothesis testing. Identify the null hypothesis, alternative hypothesis, the critical value(s), test statistic, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
- In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience relief.
Find the value of the linear correlation coefficient and determine whether there is a linear correlation between the two variables.
- The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters): Temp 62 76 50 51 71 46 51 44 79 Growth 36 39 50 13 33 33 17 6 16
Find the linear correlation coefficient and using α = 0.01 determine whether there is a significant linear correlation between the temperatures and the plant growth.
