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Researchers studying infant head circumferences (in centimeters) wish to test if the mean head circumference differs from the historical mean of 34.5 cm. The researchers obtain a sample of 17 infants with a mean head circumference of 34.16 cm and a standard deviation of 0.58 cm.At the α = 0.05 significance level, test the claimHO: µ = 34.5HA: µ ≠ 34.5c) State the rule of rejection (in terms of p-value and level of significance) (5 points)d) Find the p-value (5 points)e) Should you reject or not reject HO? (5 points)f) Does the result suggest that the mean head circumference differs from 34.5 cm?
By letting the period be one month, one has D = 100, Cu = 2.5, Ch= 0.50, Cr = 3.50, Cs= 0.20 and L = 0.75. What is the optimal inventory policy and the total cost of the system under the optimal policy?
Give an example for each of the following distributions, binomial, hypergeometric, and Poisson. Explain the differences and different characteristics.
Last year the average deposit for all 10,000 clients was $25,000 with a standard deviation of $30,000. Do you think a small sample of 25 is enough to give them the margin of error they want? If not, how large a sample do you suggest they need to t..
A random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be μ = 8.76
Salaries upon graduating than are graduates of other programs. Describe a statistical experiment that could help test your belief.
Determine 80% confidence interval for average weights of Allen's hummingbirds in study regions. Determine the margin of error?
Make a scatter plot, illustrate the regression lines. Determine the correlation coefficient between husband’s and wife’s education for couples in which wife is employed full time?
Negatively correlated and that the area of the home and the selling price are positively correlated? Use the .05 significance level. Report the p- value of the test.
In order to do so, they review 42 service calls and construct a 95% confidence interval for population mean: (2.468, 2.743). What can we conclude about the significance test of Ho: mu = 2.6 vs Ha: mu does not equal 2.6?
An orange juice producer buys only one kind of oranges. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce.
What is the probability that the person guessing the numbers guesses it incorrectly between 8 and 20 times out of the 34 times the game is played?
Find the probability of a type I error α if the true proportion is p=0.6.
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