Exam 15: Basic Statistics

The shipment times in hours for a load of goods from a factory to market are tabulated in the following frequency distribution. Find the sample standard deviation of shipment time.   Shipment time (hours) Midpoint x Frequency f Product xf 22.5-27.5 5 27.5-32.5 37 32.5-37.5 75 37.5-42.5 31 42.5-47.5 13 47.5-52.5 4 Please round your answer to the nearest tenth, if necessary. __________ h

Consider the following bar graph. How many barrels of oil per day were used by Canada?

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 $\text { Thursday }$ at 2:00 p.m.? __________ in.

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 58.5-65.5 3 65.5-72.5 5 72.5-79.5 8 79.5-86.5 6 86.5-93.5 3 93.5-100.5 5   Please round your answer to the nearest whole number, if necessary.

A hygrothermograph is used by the weather services to record temperature and relative humidity (see figure labeled "Hygrothermograph"). The lower part of the graph is used to measure relative humidity from 0% to 100%. The upper part of the graph is used to measure temperature from 10° F to 110° F. What was the temperature at 2:00 a.m.? Use the data in the figure to answer this question.

The 2022 projected population data for the regions of the world are as follows in millions: North America, 437.7 South America, 433.4 Africa, 1,154.7 Europe, 705.2 Asia, 5,876.3 Oceania, 37.9 Draw a circle graph.

The sample space is a bag with 3 red and 1 white marble with two marbles taken at a time. What is the probability that two red marbles will be drawn?

A bag of marbles contains 9 yellow marbles, 6 white marbles, 3 blue marbles, and 7 red marbles. A marble is picked at random and replaced. This is done a total of three times. What is the probability of picking a red marble, a white marble, and a blue marble?

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 4th percentile.   Ranked data 12 50 83 122 146 17 52 88 124 149 20 52 94 128 152 24 52 94 130 153 27 58 99 131 159 32 66 102 132 161 38 69 107 135 165 42 74 111 139 168 42 77 116 142 174 46 80 119 146 178

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 is the lowest atmospheric pressure recorded?

Use the figure below to answer the following question. What is the power gain at the highest power output?

A card is chosen at random from a deck of 52 cards and then replaced. This is done a total of three times. What is the probability of getting a black card, the 4 of spades, and the jack of hearts?

A trucking company had hauls of the following mileage. $2,085,2,012,2,018,2,098,2,097$ What is the mean measurement of the hauls?

A card is drawn and replaced three times from a deck of 52 cards. What is the probability of getting 3 aces?

Find the sample standard deviation from the set of measurements below. 1.65, 2.35, 4.17, 7.11, 3.63, 2.82, 4.11, 8.27, 4.72, 3.67, 6)14, 1.86, 6.38, 4.17, 2.88, 1.03, 9.61, 7.71

Consider the following bar graph. How many barrels of oil per day were used by France? __________ million barrels

The target load weight for a ladder is 250 lb. A technician selects 5 ladders at random per day to test load limit and records the mean load for each day. Determine the most accurate mean control chart drawn from the data shown in the table. Hour 1 2 3 4 5 6 Mean 260 238 275 238 258 260 Hour 7 8 9 10 11 12 Mean 250 270 261 265 241 248 Hour 13 14 15 16 17 18 Mean 273 265 260 253 240 245

Use the frequency distribution to find the mean and the sample standard deviation. Does the data form a normal distribution? Remember: if the data fall within 2% of the empirical rule of 68%, 95%, and 99.7% for one, two, or three standard deviations, respectively, they form a normal distribution.   Interval Midpoint x Frequency t 42.5-50.5 9 50.5-58.5 45 58.5-66.5 205 66.5-14.5 190 14.5-82.5 44 82.5-90.5 20

Given the 20 numbers 31, 35, 36, 39, 46, 47, 48, 49, 50, 51, 52, 55, 56, 56, 58, 60, 63, 64, 70, 74, construct a normal distribution.

Find the median measurement for the set of measurements. $244$ , $621$ , $325$ , $121$ , $767$ , $959$ , $849$ , $51,606$ , $858$ , $194$ , $349$ , $362$ , $286$ , $627$ , $736$ , $801$ , $33,764$ , $215$ , $481$