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You survey 5 members of a college class about how many hours they study each week: 12 hours, 18 hours, 7 hours, 3 hours, and 15 hours. The class has a total of 28 students. Based on the findings from the 5 students you interviewed, what is the standard deviation for the entire class?
What is the range of hours you can expect students to study based on one standard deviation? (Hint: Think
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- Suppose that a particular large hotel has 790 rooms. Furthermore, suppose that for weekend nights the mean demand for rooms is 730 rooms with a standard deviation of 35 rooms. What is the probability that over a sample of 35 weekend nights, the hotel will sell at least an average of 740 rooms over this sample? (please round your answer to 4 decimal places).Home prices in a particular neighborhood average $350k with a standard deviation of $30k. They are not Normally distributed. Your realtor pulls a random sample of 30 houses for you to look at. What is the probability that the average price of these 30 houses is more than $345k? (Please round your answer to 3 decimal places: ex, 0.123)An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10% of the test grades. To the nearest percent, what is the dividing point between an A and a B grade?
- The mean cost of domestic airfares in the United States rose to an all-time high of $395 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $115. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $540 or more (to 4 decimals)? b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? c. What if the probability that a domestic airfare is between $300 and $490 (to 4 decimals)? d. What is the cost for the 5% highest domestic airfares? (rounded to nearest dollar)In one of its Spring catalogs, L.L. Bean advertised footwear on 29 of its 192 catalog pages. Suppose we randomly surgery 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once. Calculate the standard deviationAssume that you are working for the Consumer Protection Agency and have recently been getting complaints about the highway gas mileage of the new Dodge Caravans. Chrysler Corporation agrees to allow you to randomly select 40 of its new Dodge Caravans to test the highway mileage. Chrysler claims that the Caravans get 28 mpg on the highway. Your results show a mean of 26.7 and a standard deviation of 4.2. You support Chrysler’s claim. 1. Show whether or not you support Chrysler’s claim by listing the P-value from your output.After more complaints, you decide to test the variability of the miles per gallon on the highway. From further questioning of Chrysler’s quality control engineers, you find they areclaiming a standard deviation of no more than 2.1. Use a one-tailed test.2. Test the claim about the standard deviation.3. Write a short summary of your results and any necessary action that Chrysler must take toremedy customer complaints.4. State your position about the necessity to…
- Suppose the profit a Honda dealership makes on the next 5 Accords it sells are:504, 1,027, 867, 1,434, 1,372. Calculate the standard deviation of the sample. (please express your answer using 2 decimal places).Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 5.9. A university plans to award scholarships to students whose scores are in the top 9%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.GIL internet services record customer usage patterns. Historically they have found the duration of an internet session is normally distributed with an average duration of 77.5 minutes and a standard deviation of 20.6 minutes. What is the probability a randomly selected session would last longer than two hours or less than thirty-five minutes? (4 decimal places)
- Americans spend an average of 23.6 hours per week online, with a standard deviation of 7. The distribution of internet watching is not necessarily normally distributed. Suppose you took a random sample of 50 people. What is the probability that the sample average will be less than 23 hrs? Round your answer to three decimal places, eg 0.628.On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If the supermarket has 600 litres in stock at the beginning of a day, what is the probability that it will run out of milk? What is the probability that demand is between 450 and 600 litres in a day? How many litres should the supermarket stock if it wants the probability of running out to be 0.05? 4. How many should it stock if it wants the probability of running out to be 0.01?Suppose commute times in a large city are normally distributed and that 65.20% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.5 minutes, what is the mean commute?