In a recent study on gender differences in education, a sample of 7 boys had a mean score of 17.6 and a standard deviation of 4.1 on a Standardized Math Test. A sample of 11 girls had a mean score of 20.8 and a standard deviation of 3.6 on the same test. What is the t-statistic for this data? (Use the sample of boys as Group 1.)
In a sample of 50,000 first-born babies, five were found to have Prader- Willie Syndrome. Determine the empirical probability that a families first child will be born with this syndrome.
50000/5=P(E)
P(A)= 0
P(A’) = 1
Sec. 11.5 #42
If a pointer is spun twice. Determine the probability that the pointer lands on:
2/6
Note that only substantive postings will receive credit; nonsubstantive postings such as (but not limited to) “Good job!” or “Nice work!” will earn no credit.
In a recent study of Colorado workers who were recently layed off, researchers found that after being layed off the majority of workers increased their use of marijuana. To an economist this means marijuana is :
1 – a normal good.
2 – in limited supply.
3 – there is not enough information to make this determination.
4- an inferior good
in a sample of 1000 adults, 196 dined out at a restaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S. adults, Complete parts A-D. solved
A- Both adults dine out more than once a week
B- Both do not
C- Only one dines out more than once a week
D- Which of the events can be considered unusual
In a recent study, 50 males used a new weight-loss supplement, and all but 13 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and all but 3 of them experienced weight loss after two weeks.
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In a rising interest rate environment, bond values would change over time through many different ways. One way in which bond values would change involves the prices of the bonds themselves, when the interest rates decrease. In another manner, the prices of bonds would decrease when the interest rates increase. Inflation impacts the pricing of the bond because it directly affects its future cash flow. Due to the high risk of inflation, more and more investors would want a higher yield rate because of the associated risk.
Measures to manage risks include: shortening the time of maturity of the bonds to reduce any negative impact on the price of the bond. The longer the life-span of a bond, then there is an increase in the risk of interest rate that is associated with the bond. In order to maintain firm ground in the investment game, one must be wise in which bonds to invest. No one wants to lose money in investing on bonds that will cause more issues and losses than those that will be fruitful.
Investopedia. (2017, October 10). How Inflation And Interest Rates Affect Bonds. Retrieved January 19, 2019, from https://www.investopedia.com/walkthrough/corporate-finance/3/bonds/inflation-interest.aspx
In a recent poll, 500 people were asked if they liked football, and 40% said they did. Based on this, construct a 99% confidence interval for the true population proportion of people who like football.
As in the reading, in your calculations:
–Use z = 1.645 for a 90% confidence interval
–Use z = 2 for a 95% confidence interval
–Use z = 2.576 for a 99% confidence interval.
Give your answers as decimals, to 4 decimal places.
( )< p < ( )
Consider a simple poll that is measuring the proportion of citizens that hold a particular political belief. What is a conservative, “worst case scenario” sample size if you want the margin of error to be 2.3%? Sample Size =
A population of values has a normal distribution with μ=126.6μ=126.6 and σ=27.9σ=27.9. You intend to draw a random sample of size n=214n=214.
Find the probability that a single randomly selected value is less than 126.8. P(X < 126.8) =
Find the probability that a sample of size n=214n=214 is randomly selected with a mean less than 126.8. P(¯x < 126.8) = Enter your answers as numbers accurate to 4 decimal places.
You measure 30 backpacks’ weights, and find they have a mean weight of 47 ounces. Assume the population standard deviation is 13 ounces. Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean backpack weight.As in the reading, in your calculations:–Use z = 1.645 for a 90% confidence interval–Use z = 2 for a 95% confidence interval–Use z = 2.576 for a 99% confidence interval.Give your answer as a decimal, to two places ounces
You measure the weight of 47 turtles, and find they have a mean weight of 32 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, what is the maximal margin of error associated with a 92% confidence interval for the true population mean turtle weight.Give your answer as a decimal, to two places ounces
In a survey, 12 people were asked how much they spent on their child’s last birthday gift. The results were roughly bell-shaped with a mean of $41 and standard deviation of $18. Construct a confidence interval at a 99% confidence level.Give your answers to one decimal place. Interpret your confidence interval in the context of this problem.
In a recent poll, 500 people were asked if they liked football, and 40% said they did. Based on this, construct a 99% confideinterval for the true population proportion of people who like…
6. In a right-skewed distribution: the median equals the mean the median is less than the mean the median is larger than the mean none of the above
6. In a right-skewed distribution:the median equals the meanthe median is less than the meanthe median is larger than the meannone of the above
In a response to critics who accuseWal-Mart of providing poverty-level wages and a few benefits, Wal-Mart chiefexecutive H.Lee Scott said Wal-Martoffered good, stable jobs, noting that when it opens a store, more than 3000people often apply for 300 jobs. “It doesn’t make sense”, Mr. Scott said “thatpeople would line up for jobs that are worse than they could get elsewhere,with fewer benefits and less opportunities”. Do you agree with Mr.Scot’s assessment? Explain.
In a regression model with p – 1 predictor variables chosen from a set of P – 1 possible predictor
variables, which of the following indicates that bias is not a problem with the model?
A. Mallow’s Cp ≤ p (small p)
B. Mallow’s Cp ≤ P (cap P)
C. Mallow’s Cp > p (small p)
D. Mallow’s Cp > P (cap P)
7. Which of the following case diagnostic measures is based on Y values only (and not X values)?
A. Cook’s Distance
B. Studentized deleted residual
C. DFFITS
D. None of the above – they all use the X values and the Y values
8. Which of the following methods is the most appropriate for testing H0: βk = 0 versus Ha: βk > 0?
A. A t-test
B. An F-test
C. A test of a full versus reduced model
D. All of the above are equally good.
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