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Suppose that we observe a random sample size n from a normally distributed population. If we are able to reject H0:µ = µ in favor of a two-tailed alternative hypothesis at the 10% significant level, is it true that we can definitely reject H0 in favor of the appropriate one-tailed alternative at the 5% significant level? Why or why not?
Marie claims she can predict the sex of pregnant women's babies for first-time new mothers. She sees 1000 women a year, and she always predicts a female. She charges $1000 for a prediction
Suppose we wish to predict the crawling age of a particular baby when the average outdoor temperature is 25°F six months after birth.
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each loation.
These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?
Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. Find the probability that this shuttle component functions successfully if n = 2.
Consider the many possible distributions of grades on a quiz in a statistics class; imagine that the grades could range from 0 to 100.
Calculate separate confidence intervals for the numbers of days absent for Clinic A and Clinic B, respectively.
The state wanted to see how three different math classes compared, so they gave a standardized test to all the students. Given the following results
A microeconomist wants to determine how corporate sales are influenced by capital and wage spending by companies. She proceeds to randomly select 26 large corporations and record information in millions of dollars.
Assume that correlation coefficient between 2 variables is nearly zero. What does this say about relationship between them?
A bag contains 5 blue balls and 8 purple balls. If 3 balls are chosen randomly and without replacement, form the bag. Let x be the number of blue balls obtained. Then x has a distribution.
Carry out a test of hypothesis on each of regression coefficients. Could you delete any of the variables?
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