Exam 3: Describing, Exploring, and Comparing Data

An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm)of randomly selected adult males. A frequency distribution is created from the data. The frequencies in order are 1, 8, 56, 237, 382, 228, 48, 4, 1. Does it appear that the sample is from a population with a normal distribution? Explain.

The mean of a set of data is 108.06 and its standard deviation is 115.45. Find the z score for a value of 489.67.

A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4,5,1,5,4 . The grading system assigns quality points to letter grades as follows: A=4, B=3, C=2, D=1 , and F=0 . Compute the grade point average (GPA) and round the result to two decimal places.

The prices (in dollars)of 12 electric smoothtop ranges are listed below. Find the range for the given sample data. 865 1010 655 565 1465 1110 710 765 820 1310 555 1065

Listed below are the amounts of time (in months)that the employees of a restaurant have been working at the restaurant. Find the mean for the given sample data. Round your Answer to one more decimal place than the original data values. 1 5 6 8 11 14 17 46 61 90 99 126 143 167

A department store has daily mean sales of $ 28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score. Was Tuesday a significantly good day?

Listed below are the arrival delay times (in minutes)of randomly selected flights between New York's JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrive before their schedule time and positive values represent delays. Calculate the range of the data and the standard deviation. Can the standard deviation be negative? -15 -18 -32 -21 -9 -32 11 2

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following Choices is not true?

A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z_ score corresponding to the given value and use the z score to determine whether the value is Significant. Consider a score to be significant if its z score is less than -2.00 or greater than 2.00. Round the z score to the nearest tenth if necessary.

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 22.6 16.1 36.1 36.0 23.8 20.3

The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude from Chebyshev's theorem about the percentage of adults In the town whose heights are between 60.1 and 74.1 inches?

If the standard deviation for a set of data is 0, which of the following must be true?_

Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she_ asked each one to record to the nearest one-tenth of a mile the distance they travel one way From home to work. The distances for a random sample of six employees are listed below: 26 32 29 16 45 19 Find the variance for the given data.

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z = -1.5. What is her temperature? Round your Answer to the nearest hundredth.

The number of vehicles passing through a bank drive -up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going Through the line in a 15-minute period. 25 27 25 28 28 25 30 27 35 31 31 29 24 31 25 20 15 27 27 27

Find the standard deviation for the given sample data. Round your answer to one more decimal_ place than the original data. 22.6 16.1 36.1 36.0 23.8 20.3

Use the given sample data to find $Q _ { 2 } .$ ._ 49 52 52 52 74 67 55 55

An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm)of randomly selected adult males based on data gathered: 173 179 207 158 196 195 214 199 Define this data set as discrete or continuous. The hand lengths is what type of level of measurement? Compare the mean and median for this data set and if you can draw any conclusions from these values.

Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data. 7 7 2 5 1