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1. A certain brand of Green Energy light bulbs was advertised as having an average illumination life-span of 2,500 hours. A random sample of 50 bulbs burned out with a mean life-span of 2,470 hours and a sample standard deviation of 140 hours. With a 0.05 level of significance, is the sample mean less than the advertised mean?
2. Given the following data from two independent samples, conduct a one-tailed hypothesis test to determine if the first sample mean is larger than the second sample mean, given a 0.05 level of significance.
n1 = 55 n2 = 46
xbar1= 72 xbar2 = 62
s1=15 s2 = 12
3. A test was conducted to determine whether gender of a spokesperson affected the likelihood that consumers would prefer a new vacuum cleaner. A survey of consumers at a trade show employing a female spokesperson determined that 78 out of 200 customers preferred the product, while 56 of 180 customers preferred the product when a male spokesperson was employed. At the 0.05 level of significance, do the samples provide sufficient evidence to indicate that on the average, fewer consumers prefer a new product when the spokesperson is male?
Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, 5, 5, 5, 5, 6 What is the vari..
Determine the 90% confidence interval for average days worked by employees in all payroll departments?
A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value.
A sample proportion is calculated from a sample size of 394. How large of a sample would we need in order to decrease the standard error by a factor of 9?
A university found that 20 percent of its students withdraw without completing the introductory statistics. Assume that 20 students registered for the course.
Give an example of a hypothesis test you could perform at work or at home. State what the Null and the Alternative hypotheses would be in your test.
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
Differentiate between correlation and causation. What are the practical applications? How would it be used in the workplace?
All else being equal, what occurs to your confidence interval when you increase value of alpha?
What is a point estimate of the P/E ratio for the population of stocks listed on the New York Stock Exchange? Develop a 95% confidence interval.
Perform a significance test to assess whether there is an association between mortality from cirrhosis of the liver and duration of employment in the group hired after 1945. Report a p-value.
A company producing a standard line and a deluxe line of dishwasher has the following time requirements (in minutes) in departments where either model can be processed
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