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Q1) Manufacturer of mechanical widgets claims that his widgets have the average useful life of= 8,000 hours of continuous use before failure. Independent testing organization caries out a life test on a random sample of 225 of manufacturer's widgets. Sample results differ between 6000 and 9200 hours though sample mean useful life of that sample is 6235 hours with the standard deviation of 600 hours. By using a 1% significance level, test manufacturer claim against alternative that true mean useful life is less than 8000 hours.
Q2) Sociolinguist claims that at least 45% of all college graduates are functionally illiterate (according to well known accepted standards). Random sample of 500 college graduates is chosen and subjected to standard literacy test. Results point out that 212 are, actually, functionally illiterate. Does this result support original claim, or is population percentage considerably less than 45%. Use alpha=.05 for level of significance.
The amount ($1.00, $5.00, $10.00, $25.00, or $50.00) promised to each person was determined by randomization. For each person who was sent one of the surveys, The value of the X2 test statistic for testing the hypothesis
Evaluate true mean delivery time to within 5 minutes at 90% reliability level? Suppose that standard deviation for delivery times is 18.2 minutes.
Which of the following assumptions for inference about a proportion using a confidence interval are violated,
Statewide real estate sales agency, Farm Associates, specializes in selling farm property in state of Nebraska. At.10 significance level, has there been an increase in selling time?
Write a one-page report to Ms. Gupta presenting your conclusions regarding the market performance of Brand 1.
Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
If one person is selected at random, what is the probability that person is Female?
What is the probability that the project will be completed in 17 months or less?
Using the probabilities above what is the expected size of family you draw?
Mean and standard deviation are 584.6 and 34.28
Here is a scatterplot of average crawling age versus average outdoor temperature six months after birth followed by a plot of the residuals versus average outdoor temperature six months after birth.
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