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A marketing specialist is assessing the effectiveness of two types of formats for TV commercials. For the data above, test the appropriate hypothesis using the independent t test and alpha=.05.
The following shows the impact of three different types of Head Start Program for young children on three randomly selected groups. Analyze if group difference is significant enough using ANOVA.
What is the probability of rolling 2 ones, 1 two, 4 threes, 3 fours, 2 fives, and 1 six? What is the probability that there will be at least three dice showing the same number?
Suppose that ten of the books are fiction, ten are non-fiction, and ten are poetry, and Alice wants to read at least one book of each type. Now how many different ways can she decide which book t
Prove, for each positive integer n, the number n! can be written as a sum of n terms n!=a1+a2+a3+.....+an, where 1=a1<a2<<an and all the numbers a1, a2,....., an are factors of n!. (Hint: ind
Suppose that the group consists of six men and six women. How many different ways can the group seat themselves, if we insist that each person sit between a man and a woman?
There are 1000 natural numbers a1, a2,...., a1000. Prove that of the numbers 3a1, 3a2,...., 3a1000, there must be 56 of them which have the same remainder when divided by 19.
Use a combinatorial argument to show that an = an-1 + an-2 for a ≥ 3. (Hint: what happens to a person on the end of the row?) Prove that an is a Fibonacci number for every n.
Let E be the event that my two cards came from the same deck, and let F be the event that my two cards are the same suit. Are the events E, F independent? Why or why not?
The Drunken Professor has a class of 34 students. He wants to divide them into seventeen pairs of partners for a project. How many different ways are there to divide up the students?
Suppose that the group consists of six men and six women. How many different ways can the group seat themselves, if we insist that each man sit between two women and each woman sit between two men?
If a day's catch showed that 19.77 percent of the shrimps were large and 6.06 percent were small, determine the mean and standard deviation for the shrimp weights. Assume that the shrimps' weig
what is the minimum score needed to make an A. If tere were 5 students who did not pass the course,how many students took the course.
What is the minimum score among those who received an F. If tere were 5 students who did not pass the course,how many students took the course.
What is the mean absolute deviation (MAD) for the 3-month moving average forecast for time periods 4 through 24?
Imagine you are a member of the ERP project steering committee. Your task is to recommend a model or framework for the evaluation of the three ERP software vendors and their product.
Why do you think that making data available to the public is important? List 3 pros and cons from either the EPA or public perspective. Explain your answers.
A school of optometry conducts a study in which 50 workers arerandomly selected from the population of white-collar workers aged25-44. Find the probability that among the 50 persons selected, the n
If a woman with achrondroplasia marries a man with achondroplasia, what proportion of their offspring is expected to have achondroplasia?
Calculate the marginal probability mass function for X and Y. Calculate the conditional probability that X = m, given Y = n (i.e., P(X =m | Y=n)
You could make changes to the temperature of each ball to test whether it affects the ball's ability to bounce.
The average heights of a random sample of 400 people from a city is 1.75 m. It is known that the heights of the population are random variables that follow a normal distribution with a variance of 0
Assuming that the prices of this product follow a normal law of variance of 25 and an unknown mean: What is the distribution of the sample mean?
Assuming that the prices of this product follow a normal law of variance of 25 and an unknown mean:
Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days.