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Mensurationb) The dimensions of a wall is 30 m x 5m x 20 cm. It contains three windows eachof 3m x 1.5 m. How many bricks of size 20 cm x 10 cm x 5 cm are required tobuild the wall leaving 10% of the space for the cement work? Also find the cost ofbricks at the rate of Rs 9000 per 1000 bricks,
General
4 months ago
A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two different states. At α = 0.05, we wish to test whether there is enough evidence to conclude that there is a difference in the interest rates paid by the two states. What is the value of the test statistic? State A State B Sample size 80 50 Mean interest rate (%) 4.0 4.5 Population variance 0.04 0.03
General
4 months ago
An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills." The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. Is this sample result good evidence that the mean of all students in this town is less than 261
General
4 months ago
For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The mean IQ score of statistics professors is greater than 121. Sample data: nequals13, x overbarequals122, sequals13. The significance level is alphaequals0.05.
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4 months ago
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. (a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 32 years will exceed 14%
General
4 months ago
The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that an 8 dash m beam can support 900 kg. How many kilograms can a 19 dash m beam support?
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4 months ago
A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this claim is true. A random sample of 121 college students randomly selected and it showed that average of hours studying per day was 3.15 with a standard deviation of 1.2 hours. Using the 10% significance level, can you conclude that the claim college students spend an average of 4 hours or less studying per day is valid?
General
4 months ago
A recent survey of 35,101 randomly selected U.S. adults studied the religious affiliation of Americans. The survey interviewed 245 people in Maine. Suppose that this is a simple random sample of adult residents of Maine. Of these 245 people, 56 said they attend religious services at least once a week. A 95% confidence interval for the proportion of all residents of Maine who attend religious services at least once a week is closest to
General
4 months ago
A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down or getting worse. Suppose that you do not know if the storm is getting worse or dying out. You just want to test the hypothesis that the average wave height is different (either up or down) from the severe storm class rating. What would you use for the alternate hypothesis
General
4 months ago
A random sample of 8888 eighth grade students' scores on a national mathematics assessment test has a mean score of 278278. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270270. Assume that the population standard deviation is 3838. At alphaαequals=0.150.15, is there enough evidence to support the administrator's claim? Complete parts (a) through
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4 months ago
"Bill’s nominal income in 1990 was $1,009 per month. The CPI had a value of 149 in 1990 and had a value of 192 in 2017. What is Bill’s real income in 1990, measured in base year dollars? Enter a number rounded to two decimal places with no dollar sign"
General
4 months ago
Sleep deprivation, CA vs. OR, Part I. According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived and interpret it in context of the data.
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4 months ago
You are at a train station, standing next to the train at the front of the first car. The train starts moving with constant acceleration, and 9.0 s later the back of the first car passes you. Part A How long does it take after the train starts moving until the back of the seventh car passes you? All cars are the same length. Express your answer with the appropriate units.
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4 months ago
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round ofthe tournament eliminates half the participants. b. Use your model to determine how many participants remain after 10 rounds of play
General
4 months ago
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round ofthe tournament eliminates half the participants. a. If p(????) represents the number of participants remaining after ???? rounds of play, write a formula to model thenumber of participants remaining.
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4 months ago
A company rents water tanks shaped like cylinders. Each tank has a radius of 3 feet and a height of 2 feet. The cost is $ 4 per cubic foot. How much does it cost to rent one water tank?
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4 months ago
In a race, there are 9 runners. Trophies for the race are awarded to the runners finishing in firstthrough third place.In how many ways can first through third place be determined?O 27O 84O 60,480O 504
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4 months ago
A sample is obtained from a population with m = 100 and s = 20. Which of the following samples would produce the most extreme z-score? A sample of n = 25 scores with M = 102 A sample of n = 100 scores with M = 102 A sample of n = 25 scores with M = 104 A sample of n = 100 scores with M = 104
General
4 months ago
-3(1-2x)=4x-17 solve x
General
4 months ago
A rectangular dog bed has an area of 720 square inches. The width of the bed is 6 inches shorter than the length. Create and solve for an equation, that represents the area of the bed, that can be used to determine the length and width of the bed. I used L to represent length and L - 6 to represent width, but I wasn't sure how to solve my equation. (maybe my equation is wrong?)My equation: L(L - 6) = 720Any help would be appreciated.
General
4 months ago
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