A random sample of packages delivered by a company were tracked if they were delayed or on time and whether they were sent in-state or out-of-state. The relative frequency table displays the data gathered. Delayed 4% On Time 39% Total 43% 53% Based on the given information, what is the likelihood of a package being sent out-of-state, given that it was on time? 37% In-State Out-Of-State Total 40% 60% 100% 35% 021% 36% 21% 57%
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- The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratiost. 9 20 11 35 19 13 15 21 29 53 16 26 21 14 21 27 10 12 47 14 40 18 60 72 33 14 8 49 5 16 8 19 12 31 67 51 26 18 17 20 19 13 25 23 27 44 20 27 19 18 32 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.) (b) Find a 90% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper limit (c) Find a 99% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper…Foxbees magazine published data on the best small firms in 2012. These publicly traded firms have a stock price of at least $5 per share and have reported annual revenue between $5 million and $1 billion. The data below shows the ages of the corporate CEOS for a random sample of these firms. 49 67 59 48 45 49 39 44 37 38 48 38 43 48 62 74 70 58 58 40 74 35 36 54 38 45 54 55 64 75 69 36 55 72 69 60 40 64 39 59 74 52 40 49 38 38 74 50 55 50 R vector Copy to clipboard a) What is the mean of the sample? (Round to 4 decimal places) b) What is the standard deviation of the sample mean or the standard error? (Round to 4 decimal places) c) What is the sample size? (Round to whole number)A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. Opinion Front Footage For Undecided Against Under 45 feet 12 4 4 45-120 feet 35 5 30 Over 120 feet 3 2 5 What is the expected frequency for people against the project and who have over 120 feet of property foot-frontage? Select one: a. 1.1 b. 3.9 c. 5.0 d. 5.5
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- The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.A sample of 200 college freshmen was asked how many hours per week they spent playing video games. The following frequency distribution presents the results. Number of Hours Frequency 1.0-5.9 6.0-10.9 11.0-15.9 16.0-20.9 21.0-25.9 26.0-30.9 31.0-35.9 36.0-40.9 41.0-45.9 46.0-50.9 Part 1 of (a) How many classes are there? There are 10 classes. (b) What is the class width? x The class width is 43 Part 2 of 2 Do not round. (c) What percentage of students play video games for less than 46 hr per week? % of the students play video games for less than 46 hr per week. (d) What percentage of students play video games for 41 or more hours per week? % of the students play video games for 41 or more hours per week. 252222- X 28 31 44 28 18 12 9 XWhat is the mode? Answer as an INTEGER. If necessary, round to the nearest integer. If it is not applicable or not available, type “na” instead.