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The No Child Left Behind Act of 2001 mandates that by year 2014, each public school must achieve 100% proficiency. That is every student must pass a proficiency exam or the school faces serious sanctions. Suppose that students in a particular school are all very competent. For each individual, the probability that they will pass the proficiency exam (independent of thier classmates) is 0.99
A. If there are 500 students in the school, what is the probability that everyone will pass the exam?
B. What is the probability that at least one of the 500 Students will not pass the proficiency exam (and the school will not meet the mandate)?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots
A class has 13 women and 18 men. If student if selected randomly, determine the probability student is a woman?
With 95% confidence, what is the margin of error (to 2 decimals)? What is the 95% confidence interval estimate of the population mean?
The probability that Pete will catch fish when he goes fishing is .8. Pete is going to fish three days next week. Define the random variable x to be the number of day Pete catches fish. (hint. binomial distribution)
Determine the expected shape of distribution of sample mean? Compute the likelihood of choosing a sample with mean of at least $112,000?
To find out the proportion of the population of likely voters who agree the statement. Could we say among appropriate statistical certainty which the proportion of the population of likely voters.
Powers Tire Company (Which specializes in tires for vehicles ca. 1965) needs your expertise to help them schedule over the next three months. They can make tires using regular labor, or subcontracting.
A market survey was conducted to estimate the proportion of homemakers who would recognize the brand name of a cleanser based on the shape and color of the container. Of the 1,4000 homemakers sampled, 420 were able to identify the brand by name.
Perform a parametric analysis by assessing the fractional change in the probability of failure with respect to a small change in the mean and standard deviation of selected variable.
At 0.01 level of significance, is there evidence that mean price is higher at Whole Foods Market than at Fairyway supermarket? Interpret the meaning of p-value in (i).
Determine the distributions given below represent a probability distribution. Justify your answer.
You are the designer for your company's web site. You have data to indicate that the mean download time for the homepage is 5.8 seconds and that the standard deviation of download time is 2.1 seconds.
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