am 2. Discretionary household income in a certain state is exponentially distributed with a mean of $4,800 per year. Approximately what proportion of households have discretionary income greater than the mean of $4,800 per year?
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- Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 173 156 122 128 99 81 35 22 22 84 Historic Debt per Capita 141 138 89 116 58 67 34 32 44 74 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 26 24 16 25 197 183 141 127 109 77 Historic Debt per Capita 25 11 17 21 107 154 149 119 116 76 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.01 level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the…23. A population of 30 chemical processing units is to be sampled by a two-person crew. The mean time between calls for this operation is 68 minutes. If the mean service rate is one unit per minute, the cost of the crew and instruments will be $16 per minute. This cost will decrease to $12, $9, and $7 for service intervals of 2,3, and 4 minutes, respectively. The time between calls for service and the service duration are distributed exponentially. If lost profit is $28 per hour for each unit that is idle, find the minimum cost service interval.Question Help A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 lb). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 171 lb. Complete parts a and b below. ts a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 177.6 lb and a standard deviation of 39.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,907 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,907 lb). The probability is (Round to four decimal…
- Energy Cost Family ID 1 Family energy cost data 211 1. An economist wants to determine whether the monthly energy cost for families has changed from the previous year, when the mean cost per month was $200. The economist randomly samples 25 families 572 558 3 250 4 and records their energy costs for the current year. Has the energy cost changed significantly since last 5 year? 478 307 184 7 435 8 460 308 10 188 11 111 12 676 13 326 14 142 15 255 16 205 17 77 18 190 19 320 20 407 21 333 22 488 23 374 24 409 25State Per Capita Personal Income ($) Birth Rate Delaware 28,493 13.9 Maryland 28,674 13.0 District of Columbia 35,704 15.7 Virginia 26,109 13.2 18,724 11.3 West Virginia 14.2 23.168 North Carolina 13.6 20,508 South Carolina 15.8 23,822 Georgia 13.1 24,799 Florida (a) The Ts(in 3 significant figures) for the given data is equal to Blank 1. (b) The typre of relation (negative, positve, or no relation) that exist between per capita personal income and birt rate is Blank 2Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 175 152 125 124 95 83 34 29 21 89 Historic Debt per Capita 147 134 86 113 58 62 33 36 49 72 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 23 28 18 29 197 189 144 124 102 71 Historic Debt per Capita 24 12 12 29 106 156 145 119 118 76 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.01 level of significance. (a) What is the level of significance? Compute the sample test statistic. Find the P-value of the sample test statistic.
- Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in the document Statistics of Income, Individual Income Tax Returns. The following relative-frequency histogram shows one year’s individual income tax returns for adjusted gross incomes of less than $50,000.How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6 19.1 9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…Q. No. 1. The cost per item at a supermarket follows an exponential distribution. There are many inexpensive items and a few relatively expensive ones. The mean cost per item is $3.59. What is the percentage of items that cost: [5] i. Less than $1.5? ii. More than $2.5? ii. Between $2 and $4? iv. Find the 35th percentile. Sixty five percent of the supermarket items cost more than what amount? V.
- Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 10,000 households, and the data collected over the next 10 years will be used to determine whether the proportion of households tuned to a particular children's program decreases. Which type of observational study is described in the problem statement? O A prospective study O A retrospective study A cross-sectional study F4 F5 F6 F7 F8 F9 DELL F10 (... F11 -O F12 O PrtScr Insert Delete PgUp 。 Next PgDn Ho16 In 1970, the U.S. Armed Services instituted a lottery as a random selection process when 19- year old males were drafted into service. Each of the possible 366 possible birth dates was placed in a separate capsule and each capsule was placed in a large plastic drum. Those with the lowest lottery numbers were drafted before others. For example, the May 9th was 176. This meant that there would be 175 groups of males born on other days drafted before those who had been born on May 9th. The scatter plot below shows the median draft eligible number for each month of the year. The line that connects the points is sometimes called a median trace line. Which one of the following statement is TRUE? * Median Trace of Draft Lottery Numbers 240 220- 200- 180- 160 140 120 100 F M. A Median Draft Number to1.37 Fur seals on St. Paul Island. Every year, hundreds of thou- sands of northern fur seals return to their haul-outs in the Pribilof Islands in Alaska to breed, give birth, and teach their pups to swim, hunt, and survive in the Bering Sea. U.S. commercial fur sealing operations continued on St. Paul until 1984, but despite a reduction in harvest, the population of fur seals has continued to decline. Possible reasons include climate shifts in the North Pacific, chang- es in the availability of prey, and new or increased interac- tion with commercial fisheries that increase mortality. Here are data on the estimated number of fur seal pups born on St. Paul Island (in thousands) from 1979 to 2014, where a dash indicates a year in which no data were collected:28 FURSEALS Arco Images GmbH/Alamy