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Q1) Weight of bottle of Starbucks Frappuccino Mocha Coffee is normally distributed with mean 9.5 oz and standard deviation 0.5 oz.
a) When a bottle of coffee is randomly chosen, determine the probability that it is heavier than 10 oz.?
b) Think of 4-pack of Starbucks Frappuccino Mocha Coffee as random sample of size 4 from population of all products. Determine the probability that mean weight of 4 bottles of coffee in chosen pack is between 8.8 oz and 9.7 oz.?
Q2) It is claimed that 55% of marriages in California end in divorce within first 15 years. A large study was started 15 years ago and has been tracking hundreds of marriages in California.
a) Assume 10 marriages are arbitrarily selected. Determine the probability that less than 2 of them ended in divorce?
b) Assume 100 marriages are randomly selected. Determine the probability that less than 20 of them ended in a divorce?
Q3) Assume that a particular candidate for public office is in fact favoured by 48% of all registered voters. Polling organization is about to take sample of voters and will use sample proportion to estimate. How many voters required to be sampled to evaluate the proportion within 0.05 with 95% confidence?
Elucidate correlation coefficient of determination R-square also Adjusted R-square. A computer utility was implimentated to the data collected in a study of a generalized health.
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
Use the marginal probabilities of school quality, school cost or convenience, and other to comment on the most important reason for choosing a school.
The lifetime of a light bulb is an Exponential RV with a mean of 800 hours. Let L represent the time (in hours) that one randomly selected light bulb will burn. What is the possibility the light bulb burns for more than 1000 hours.
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated.
At the .05 significance level, can we conclude that there is a difference in their mean times?
What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 5 of µ? Use the value 20 for the population standard deviation of scores on this subsection.
At 5% level of significance, does this sample prove violation of guideline that average patient must pay no more than $250 out-of-pocket? Write your hypotheses and decision rule.
The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. Find the explanatory variable(s) in this study are
What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?
Compute standard error of mean? Compute the margin of error, with 95% confidence.
You listen to radio station for 1 hour, at arbitrarily selected time, and carefully observe that amount of advertising time is equal to 7 minutes. Compute z-score for this amount of advertising time.
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