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Question: Business and Management. A certain philanthropic organization funds one out of every ten grant proposals. Suppose a random sample of 300 grant proposals is obtained.
a. Find the probability that the sample proportion of funded grant proposals is less than 0.075.
b. Find the probability that the sample proportion of funded grant proposals is between 0.11 and 0.15.
c. If the funding rate increases, the board of directors may become concerned about resources being depleted. Suppose the actual sample proportion of funded grant proposals is 0.16. Is there any evidence to suggest that the funding rate has increased? Justify your answer.
Make a decision using the Decision Rule approach at given α = 0.05.
Calculate the following percentages for a z score of 0.74, with a tail of 22.96%: What percentage of scores falls between the mean and this z score?
Compute the relative frequencies and percentages for all classes. Draw a histogram and a polygon for the relative frequency distribution.
a sample of 100 flights for united airlines shows that 64 are on time. a sample of 100 flights for american shows that
A professor (of something other than Statistics!) distributed the following histogram to show the distribution of grades on his 200-point final exam. Comment on the display.
Attorney Sally Evans has just begun her career. At age 25, she has 40 years until retirement, but she realizes that now is the time to start investing.
at a publishing company the mean age of proofreaders is 36 years old and standard deviation is 4 years. assume the
What is the probability winning a contract to build either the school or the hospital? The school only? The hospital only?
Provide an example of an application of the normal distribution. Explain why standard normal distribution can be used to find the probabilities for all normal distributions?
If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1,000 people from the same population found that 550 were pro-life (i.e., 55%), which would you find more significant?
According to the Bureau of Labor Statistics, the average annual salary of a worker in Detroit, Michigan, is $35,748.
Mr.Smith works on a temporary basis. The mean length of each job he gets is three months. If the amount of time he spends between jobs is exponentially distributed with distributed with mean 2, then at what rate does Mr. Smith get new job?
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