Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. a. If one car is randomly chosen, find the probability that it is traveling more than 80 mph. ? Round to 4 decimal places.
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Suppose that the speed at which cars go on the freeway is
a. If one car is randomly chosen, find the probability that it is traveling more than 80 mph. ? Round to 4 decimal places.
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- d. There is a 30% chance that X is above what value? X= (Type an integer or decimal rounded to two decimal places as needed.)o-$1,800. Answer Questions 1-6. 1. Find P(X $46000). 3. A professor's salary(X) was selected from this college. Find P( $45000$46000). 6. Sixty-four professor's salaries were selected at random. The mean, X-bar, was calculated. Find P( S45000the following table shows the average number of colds per year for a certain group of people by age group. calculate the average number of colds for all the people to the nearest one-hundreth.A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 3.8 (s = 4.4) for the 141 females and 2.4 (s = 3.5) for the 178 males. Complete parts a through c below. a. Find the standard error comparing the sample means. Interpret. The standard error is se= 0.4540. (Round to four decimal places as needed.) What does the standard error indicate? ... OA. The standard error is the standard deviation of the sample for this study. OCT 28 OB. The standard error is the difference in standard deviations for the two populations. OC. The standard error is the standard deviation of the difference between x₁-x₂. D. The standard error describes the spread of the sampling distribution of x₁-x₂. b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if…A scale is known to be "low-calibrated" in that it measures an aluminum bar to be 4 grams lower than the actual weight. If ????μold is the mean of all possible measurements of the bar using the old calibration, and ????μnew is the mean of all possible measurements of the bar using a re-calibrated scale. It is desired that ????−????=4μnew−μold=4. Consider the test ?0:????−????=4H0:μnew−μold=4 vs. ?0:????−????≠4H0:μnew−μold≠4 Sample after calibration: mean is 95.8 , SD is 4.9 and sample size is 10 Sample before calibration: mean is 89.352 , SD is 4.2 and sample size is 62 We do not know population standard deviations. What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test)The following table gives the mean velocity of planets in their orbits versus their mean distance from the sun. Note that 1 AU (astronomical unit) is the mean distance from Earth to the sun, about 93 million miles. Planet d = distance (AU) v = velocity (km/sec) Mercury 0.39 47.4 Venus 0.72 35.0 Earth 1 29.8 Mars 1.52 24.1 Jupiter 5.20 13.1 Saturn 9.58 9.7 Uranus 19.20 6.8 Neptune 30.05 5.4 Astronomers tell us that it is reasonable to model these data with a power function. (a) Use power regression to express velocity as a power function of distance from the sun. (Round regression parameters to two decimal places.) V = 21.41 x d -0.50 V = 21.41 x d-0.29 ° v = 29.73 x d¬0.50 V = 29.73 x d-0.73 v = 29.73 x d0.50 (b) Plot the data along with the regression equation. v V 50 50 H 50 50H 40 40 40 40 30 30 30 30 20 20 20 20- 10 10 10 10 d 10 15 20 25 30 d d 5 10 15 20 25 30 5 10 15 20 25 30 5 10 15 20 25 30 (c) An asteroid orbits at a mean distance of 3 AU from the sun. According to the power…Suppose that speed at which cars go on the freeway is normally with 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places were possible.Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between - 1.94 and -1.06 and draw a sketch of the region. Click to view page 1 of the table. Click to view page 2 of the table. Sketch the region. Choose the correct graph below. O A. O B. O C. W W -1.94 -1.06 -1.94 -1.06 -1.94 -1.06 The probability is (Round to four decimal places as needed.)The following histograms represent the heights, measured to the nearest cm, of 14 women and 13 men. Women's heights 3- 2- 1 150 155 160 165 170 175 180 185 190 Height (cm) Men's heights 2 1 0+ 150 155 160 165 170 175 180 185 190 Height (cm) Choose the two options from the list below that are true. Select one or more: Each of the intervals with the lowest frequency in the women's heights dataset contains a smaller number of data values than one of the intervals with the lowest frequency in the men's heights dataset. The histograms are divided into six intervals for the women's heights dataset and eight for the men's heights dataset. The histogram of the women's heights dataset has a greater number of intervals containing two values than the histogram of the men's heights dataset. Both histograms are right-skewed. O The range of the women's heights dataset is greater than the range of the men's heights dataset. Aouan ba Aouan baAssume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Pa1, the 91st percentile. This is the temperature reading separating the bottom 91% from the top 9%. Click to view page 1 of the table Click to view page 2 of the table. Which graph represents Pa,? Choose the correct graph below. OD. Oc. OB. OA. Ay The temperature for P91 is approximately . (Round to two decimal places as needed.) XLSX Click to select vour answerls). 33283.xls Exit Honorlock 22 MacBook Air 吕0 000 000 F4 F3 F6 F7 F8 F9 FIC #3 2$ * 3 4 5 6 7 8 E R Y USuppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 Sample mean for Car 2 x= 245 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) times on each car and records the number of miles driven. Full data set Car 1 Median for Car 1 M= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Car 2 Median for Car 2 230 242 M=O mi / 10 gal 206 214 236 256 245 255 241 264 (Type an integer or decimal rounded to one decimal place as needed.) 276 252 250 251 257Assume that we have made 10 repeated measurements of a quantity, and as a result the error assigned to the “best estimate” of the mean is 6. If we then expand our data set to a total of 20 measurements, the error in the mean will reduce to just 3. True or FalseSEE MORE QUESTIONS