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Confidence interval for the population mean: Use of the t distribution.
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 10 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 6 minutes. If we assume that attention spans are normally distributed, find a 90% confidence interval for the mean attention span of children playing with this new toy. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
What is the lower limit of the confidence level?
What is the upper limit of the confidence level?
Quality control studies for Leaky Jet Computer Printers show the lifetime of the printer follows a normal distribution with a mean of 4.5 years and a standard deviation of 0.85 years.
A random sample of 20 vice presidents of Fortune 500 firms is taken. The amount each vice president paid in federal taxes as a percentage of gross income is determined.
Construct a 95% confidence interval for the proportion of all those who experience some type of discomfort.
Provide a discussion that supports the assumption that the variance of savings increases with family income.
What is the probability that a consumer selected at random: a. purchased fewer products than before? b. purchased the same number of products as before?
Once production is set up, 80 units can be produced per day. Daily demand rate for the units is 60 per day. a. What is the most economical number to produce per production run? b. How long is each production cycle?
If there are 12 business-class passengers and 50 tourist-class passengers on a particular flight, what are the expected value of total luggage weight and the standard deviation of the total luggage weight?
In the study of fingerprints, an important quantitative characteristic is the total ridge count for the 10 fingers of the individual.
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 county has four major hospitals: 1) Regional Memorial; 2) General; 3) Charity; and 4) City. A multiple regression model is used to compare the time spent in the hospital after a heart by-pass surgery among the four hospitals.
A sample of 64 Atlanta consumers showed a mean quarterly water bill of $51 with a sample standard deviation of $12. At α = .05, does the Atlanta sample support the conclusion that above-average rates exist for this private water system?
Explain the differences between qualitative and judgmental statistical time-series, and explanatory/causal forecasting models.
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