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1. Duracell Ltd claim that the life of their batteries in motorised soft toys is approximately normally distributed with a mean of 102.9 hours and a standard deviation of 16.5 hours. The best 65% of batteries would last beyond how many hours? Answer correct to 2 decimal places
2. The average and standard deviation of the amount of Goods and Services tax remitted by performance artists in a twelve month period were $5.042 thous and $1.551 thous respectively. If a sample of 110 artists was taken, find the average value above which only 15% would lie. Give your answer in dollars to the nearest dollar.
Describe the data appear the strength of the relationship among variables is sufficient to warrant using linear regression forecasting.
Suppose the Doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required?
Discuss an example where you would use a test of hypothesis with three or more population means (that can be analyzed using ANOVA technique) at your employment or personal life.
Construct a 95% confidence interval for the population mean service charge if a customer's account falls below the $1,500 minimum.
An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at check out were collected.
What is Peter's median grade point at graduation? What is the shape of the grade point distribution?
Think of a case in which regression analysis was used, but not properly. For instance, discuss situations in which regression analysis is not appropriate and does not add useful information to our understanding of a set of data.
Solve the problem: According to police sources a car with a certain protection system will be recovered 94% of the time. Find the probability that 4 of 8 stolen cars will be recovered.
The mean and variance of the total amount of money that is collected from a car that crosses the bridge are:
For thefts involving more than $1,000, there is an inverse relationship between the value of the goods stolen and the length of the prison sentence given to the thief.
Compare the margin of error for the interval estimates in parts (a), (b), and (c). The margin of error (Increases or Decreases) as p-bar gets smaller.
Suppose 100 randomly selected customers were asked to rate a particular service they recently had on a scale of 0 to 10. The sample mean rating was found to be 7.3.
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