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1) Suppose that 64 smokers were sampled. Assume the sample mean and the sample standard deviation remained the same ($20 and $5, respectively).
a. What is the 95% confidence interval estimate of u?
b. A research a firm a conducted a survey to determine the mean amount of steady smokers spend on cigarettes during a week. A sample of 49 steady smokers revealed that X = $20 and s= $5. What is the 95% confidence interval estimate of u?
Explain why this confidence interval is narrower than the one determined in the previous exercise.
It has been reported that the average US office worker receives 14 fax messages per day. For purposes of this exercise, we will assume that the daily number of fax messages is normally distributed with a standard deviation of 5.0 messages.
Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is greater than 0.56, a claim you would like to test. The hypotheses for this test are Null Hypothesis: p ≤ 0.56, Altern..
A developmental psychologist is studying memory development in children. He is interested in determining the exact age at which children began to recall long-term episodic memories.
A study of 36 members of the Central Park Walkers showed that they could walk at an average rate of 2.6 miles per hour. The sample standard deviation is 0.4. Find the 95% confidence interval for the mean for all walkers.
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Find the probability that a random selection of 9 songs will have mean length of 186.30 seconds or less. Assume distribution of the lengths of the songs is normal.
Calculate a value of lambda using the data from last week concerning the news networks and the reporting practices. Compare your resulting lambda to the resulting chi-square from last week.
At alpha = 0.05, is there enough evidence to conclude that proportions vary from those in the study?
Four wheel bearings have been replaced on a company car. The mechanic has selected 4 bearings from a large supply bin. The mechanic is unaware that 10 percent of the bearings fail within the first 100 miles.
What is the probability that the participant was aged 20-40 or was influenced by ipad the most? What is the probability that the participants were influenced by ipod the most, given that the participants are aged under 20?
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
Test whether race and NATFAE are independent (α = 0.05). What do you conclude?
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