hw-stats-jam007

ENMA 420 Spring 2018

Test 1 - Part 1

2

1. Consider the following data set (Also attached in the Problem 1 worksheet of the Test 1 Data file).

Sample Data

-329 -867 -234 297 -199

-148 201 94 9 -394

29 0 -213 -353 267

66 261 1479 162 -243

110 -175 136 -219 228

174 -1336 7 -232 -317

217 201 -540 -49 -194

292 -25 -279 103 -348

-60 110 229 -360 -259

-304 -229 -68 -244 -180

a. Find the mean, median and mode.

b. Find the range, variance, and standard deviation.

c. Find the lower quartile, upper quartile, and inter-quartile range.

2. For the same data set as Problem 1, are there outliers in this data? Justify your conclusion using a fully detailed box plot and one additional method.

3. For the following data set (Also attached in the Problem 3 worksheet of the Test 1 Data file), plot the data using a Histogram.

Sample Data

-1336 -341 -232 -170 -83 0 76 127 201 260

-867 -329 -229 -162 -73 7 85 128 212 261

-540 -317 -224 -152 -72 9 94 136 217 267

-394 -304 -219 -148 -68 14 97 136 219 268

-384 -286 -213 -147 -60 21 103 162 220 281

-378 -279 -199 -103 -49 29 110 174 220 282

-373 -259 -194 -101 -34 30 110 178 228 292

-360 -244 -192 -95 -29 41 117 198 229 297

-353 -243 -180 -87 -25 62 125 199 232 522

-348 -234 -175 -84 -9 66 125 201 236 1479

ENMA 420 Spring 2018

Test 1 - Part 1

3

4. A sample of cell phone signal strength (in number of bars) at randomly selected locations within a predetermined area resulted in the following data. The sites were randomly selected.

Number of Bars Number of Sites with that Signal Strength

0 22

1 190

2 221

3 413

4 492

5 321

a. Define the experiment.

b. List the simple events for the experiment.

c. Assign probabilities to the simple events based on usage. d. What is the probability that a test point will have more than three bars?

e. What is the probability that a test point will have two or three bars?

f. What is the probability that a test point will have at least one bar?

5. Your factory makes specialty T-shirts. A T-shirt inspection reveals an overall probability of 0.04% for finding a defect in any inspected T-shirt. You have selected three T-shirts at random.

a. What is the probability that all three have a defect?

b. What is the probability that none have a defect?

c. What is the probability that only one has a defect? d. What assumptions are necessary for the above to be true?