Exam 15: Basic Statistics

A large box of vegetables contains 7 tomatoes, 3 heads of lettuce, and 8 onions. A vegetable is chosen at random and then placed back in the box, and a second vegetable is picked. What is the probability of choosing a tomato and an onion?

A card is drawn and replaced four times from a deck of 52 cards. What is the probability of getting a 4 of clubs?

A clothing manufacturer is going to produce 1,000,000 women's blouses in a normal distribution of sizes with a mean of 12 and a standard deviation of 1.4. Given that the sizes are 2, 4, 6, 8, 10, 12, 14, 16, and 18, how many of each size should the manufacturer make?

Of 5,000 TV sets, 227 are found to be defective. What angle of a circle would show the percent of defective TV sets? Round your answer to the nearest tenth.

A technician is often asked to read graphs drawn by a machine. The machine records measurements by plotting them on a graph. Any field in which quality control or continuous information is needed might use this way of recording measurements. The figure labeled "Microbarograph (Atmospheric pressure in inches)" shows a microbarograph used by the weather service to record atmospheric pressure in inches. What was the atmospheric pressure recorded for Thursday at 2:00 p.m.?

Use the figure below to answer the following question. What is the power output when the power gain is 20 db?

Consider the following bar graph. What country used the most barrels of oil per day?

Find 53% of 360^o Round your answer to the nearest tenth.

The mileage on six vehicles leased for one year was recorded as follows. $25,720 \mathrm { mi } , 25,780 \mathrm { mi } , 25,760 \mathrm { mi } , 25,750 \mathrm { mi } , 25,700 \mathrm { mi } , 25,710 \mathrm { mi } .$ What is the sample standard deviation?

Frequency distribution of the scores from a mathematics test is given in the table below. Find the sample standard deviation.   Interval Midpoint x Frequency f Product xf 64.5-70.5 4 70.5-76.5 7 76.5-82.5 7 82.5-88.5 5 88.5-94.5 2 94.5-100.5 6 Round your answer to the nearest whole number.

Consider the following graph. What is the highest power output?

Find the mean measurement for the set of measurements. 2.3, 8.8, 9.5, 7.5, 10.6, 11.7, 12.9, 13.6, 16.6, 10.7, 12.7, 15.3, 20.9, 21.2, 30.2, 42.5

Find the mean measurement for the set of measurements. 0.2639 in., 0.2635 in., 0.2683 in., 0.2624 in., 0.2624 in., 0.2659 in.

Of 1,859 students, 210 are taking technical physics. What angle of a circle would show the percent of students taking technical physics? Round your answer to the nearest tenth.

Mindy's basketball coach kept records on each team member in minutes played and points scored. Mindy's statistics follow: Game 1, 20 minutes, 7 points; Game 2, 12 minutes, 10 points; Game 3, 24 minutes, 11 points; Game 4, 16 minutes, 8 points; Game 5, 8 minutes, 2 points; Game 6, 22 minutes, 14 points; Game 7, 28 minutes, 17 points; Game 8, 30 minutes, 19 points. Draw a scattergram for the data.

Find the sample standard deviation from the set of measurements below. 241, 626, 327, 121, 765, 951, 843, 68, 852, 195, 344, 369, 485, 289, 623, 731, 805, 91, 118

A laboratory technician records the life span (in months) of rats treated at birth with a fertility hormone. From the following frequency distribution, find the sample standard deviation of life span.   Life span (months) Midpoint x Frequency f Product xf -0.5-2.5 8 2.5-5.5 19 5.5-8.5 25 8.5-11.5 29 11.5-14.5 19 Round your answer to the nearest integer.

The depth of a silicon wafer is targeted at 1.015 mm. If properly functioning, the process produces items with a mean of 1.015 mm and a standard deviation of ±0.004 A sample of 16 items is measured once each hour. The sample means for the past 12 hours are given in the table below. From the table of data, determine the most accurate mean control chart. Hour 1 2 3 4 5 6 Mean 1.013 1.015 1.016 1.017 1.014 1.013 Hour 7 8 9 10 11 12 Mean 1.014 1.017 1.016 1.013 1.017 1.016

Find the median measurement for the set of measurements. $47.64$ cm, $48.27$ cm,   $47.93$ cm, $47.86$ cm

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 49th percentile.   Ranked data 15 51 83 122 148 19 52 88 124 148 20 54 91 125 151 23 54 95 128 154 27 57 99 131 159 32 63 103 131 162 36 67 104 136 164 38 73 112 140 168 42 75 114 144 170 47 81 121 146 179