MUST SHOW WORK

8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4.

a. Find the mean

b. Find the median

c. Write the 5-number summary for this data

10. Refer back to the histogram from question #4.

a. Compute the mean number of shipping days

b. Compute the median number of shipping days

c. Write the 5-number summary for this data.

d. Create box plot.

16. A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4. You want to convert all your distances from yards to feet, so you multiply each score in the sample by 3. What are the new mean, median, variance, and standard deviation?

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2. The city of Raleigh has 9500 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 112 said they'd vote for Brown, 207 said they'd vote for Feliz, and 31 were undecided.

a. What is the population of this survey?

b. What is the size of the population?

c. What is the size of the sample?

d. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.

e. Based on this sample, we might expect how many of the 9500 voters to vote for Brown?

10. In a study, you ask the subjects their gender. Is this data qualitative or quantitative?

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4. Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score of 2.19.

8. Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of -0.94.

12. Find the z-score of 89.79 given µ = 10 and σ = 79.

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6. What is the probability of a z-score less than -0.02?

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12. What is the probability of the random occurrence of a value between 56 and 61 from a normally distributed population with mean 62 and standard deviation 4.5?