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Let X1, X2,...,X3 be a random sample from b(1,p) (i.e. n bernoulli trials). Thus Y=ΣXi is b(n,p). Show that X bar = Y/n is an unbiased estimator of p.
What fraction of all arrangements of GRACEFUL have no pair of consecutive vowels?
We roll a pair of dice. If the sum of the dice is 7, you pay me $32. If the sum is not 7, I pay you the number of dollars indicated by the sum of the dice. What is your expected value for the game?
Brown eyes are dominant over blue. That is, there are two alleles B and b. bb individuals have blue eyes but other combinations has brown eyes. Your parents and you have brown eyes but your brother
What is the critical value for a 96% confidence interval for a sample size of 20? (standard deviation unknown)
The test is designed to answer the question, "is the site feasible" In other words, is there sufficient evidence to conclude that the mean wind velocity exceeds 20 mph? Is there enough evidence furt
Predicting the outcome of a football game is using the subjective approach to probability.
If 5.6 feeder jams can be expected of a certain busy printer in a month, what is the probability that a roll will have at least 3 feeder jams?
A researcher reports an F-ratio with df = 2, 24 for an independent-measures research study. How many subjects participated in the entire study?
The following data were obtained in a study using three separate samples to compare three different treatments. Use an analysis of variance with α = .05 to determine whether there are any signif
Based on your answer to part A, would a two-tailed hypothesis test with α = .05 conclude that there is a significant difference between the two conditions? (Is µ1 - µ2 = 0 an accep
Make a point estimate of the population mean difference between the two test conditions. Please be detailed in your response.
Make a point estimate of the population mean difference between the two test conditions.
Use the data to estimate how many hours per day would be spent with the terry cloth mother for the entire population of infant monkeys. Make a point estimate and an 80% confidence interval estimate
A researcher has constructed an 80% confidence interval of µ = 45 ± 8, using a sample of n = 25 scores. What would happen to the width of the interval if the researcher had used 90% confi
A certain delivery service offers both express and standard delivery. 75% of parcels are send by standard delivery and 25% are send by express. Of those sent standard, 80% arrive the next day, and o
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for
Why must assumptions be checked when finding confidence intervals and conducting statistical tests? Why do we need to consider the distribution of the test statistics under the assumption that H0 is
Researcher was interested in the difference in aggressive behavior across grade levels. They selected 2 samples to compare: a group of 1st graders at a public school and a group of 5th graders from
According to the Natural Resources Bureau, the average number of acres burned by forest and range fires is 4300 acres per year, with a standard deviation of 750 acres. The distribution is considered
A distribution center receives shipment of a product from 3 different factories in the quantities of 60, 45, and 25. Three times a product is selected at random each time without replacement. Find t
Give a numerical estimate of the average age from the enitre population using stratified random sample is taken, with (300 from stratum 1),(450 from stratum 2),(250from stratum 3) the average age in
The unemployment rate in the state of Arizona is 4.1%. Assume that 100 employable people in Arizona are selected randomly. What is the expected number of people who are unemployed?
A child from his family is randomly chosen. Given that this child is the eldest in the family, find the conditional probablity that the family has
A multiple regression equation with two predictor variables produces r2 =10 and ssy=100. what portion of the variability, for the y scores is predicted by the equation? ss regression = points.