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Suppose that X has a Normal distribution, and Y =
Does a baby's sleeping position affect the development of motor skills? In one study, 343 full-term infants were examined at their 4-month checkup for various developmental milestones, such as rolli
A survey is then taken to assess the results of the ad campaign. The results show that 17 percent of the 1000 respondents can identity Cherry-Berry products. Has the advertising campaign increased p
A group of 5 statistics students receive the following grades on a test: 81, 74, 62, 92, and 76. An intervention plan is used and the students increased their scores on a retest to: 85, 79, 75, 95 a
The United Nations released the following annual birth rates and suicide rates
In a random sample of 24 people, the mean number of books they had read in the past year was 14.09 books and the standard deviation was 16.60 books. Assume the variable is normall distribted and use
Score-S-Up is a company that helps students improve their test scores on college entrance exams. They advertise that the study program increases a person's score on the GMAT by an average of 30 poin
Let x-bar1 = 117, x-bar2 = 90, s1 = 10.8, s2 = 11.4, n1 = 50, n2 = 50. Find a 95% confidence interval for the difference in the values of μ. For the following, use 3 decimal places.
A sample of size 21 is taken and a significance test for H0 : u = 0 versus Ha : u doesnt equal 0 is run. The test statistic is t = 1.71. Use 3 decimal places for t values and 2 decimal places for p
The manufacturer of a new line of ink-jet printers would like to include as part of its advertising the number of pages a user can expect from a print cartridge. A sample of 10 cartridges revealed t
Give the appropriate t quantile value, tdf, 1 - a/2, that would be used to construct a confidence interval for the mean of the population in each of the following situations.
Let X be an exponentially distributed random variable such that P( X > 3) = 0.4. Find E(X).
Suppose the doctor would be content with 95% condifence. how does that decrease in confidence affect the sample size required?
Consider a multiple regression model, y = beta_0 + beta_1 * x_1 + beta_2 * x_2 + beta_3 * x_3 to fit these data, which consist of points of the form (x_1, x_2, x_3, y):
Find an online report of a simple research study that includes statistics. You must include website link to the report so that your instructor can access it. Write a brief paper summarizing your un
Suppose that X1 = Gamma(a= 2, b = 3), X2= Gamma( 3, 3), and X3 =Gamma( 1, 3) are independent. Here B denotes the scale parameter and a denotes the shape parameter. Determine the distribution of Y =
What are the differences between Binomial, hypergiometric, negative geometric, geometric, and poisson. Please provide examples.
If the test statistic for a small sample difference of means test is t* = 2.045, we could reject the Null Hypothesis at alpha = .05 for a two-tailed test with degrees of freedom equal to 16
X1, X2 are random samples of size 3 from a Normal distribution. Use the moment generating function method to prove that the sum Y = X1 + X2 is normally distributed and specify the parameters. Then s
The number of emergency calls received by the local 911 call center is as follows. Using trend projection to forecast the number of calls that will be received during week 11.
The mean length of steel beams manufactured by a properly-working machine is 3.2 meters. An industrial engineer wants to make sure that the machine in not operating incorrectly.
a study compares three levels of Factor A and four levels of Factor B, with seven observations in each cell. What are the degrees of freedom for the F statistic that is used to test for the main eff
Calibrate a regression model of the form of Y = a + b Loge X
Find the minimum sample size when we want to construct a 95% confidence interval on the population proportion for the support of candidate A in the following mayoral election.
Given a sample mean of 27 and a sample standard deviation of 3.5 computed from a sample of size 36, find a 95% confidence interval on the population mean.