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The lifetime of a new brand of clock battery is normally distributed with a mean of 8,200 hours and a variance of 2,500 hours. A random sample of 40 clock batteries of this brand was selected.
1) What is the probability that the sample mean lifetime will be between 8,210 and 8,220 hours?2) There is the probability of 0.95 that the sample mean lifetime will be less than t hours.What is the value of t?
The distribution of amounts spent is approximately normal with a standard deviation of $10. Compute the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83.
Last fall, a sample of n = 36 freshman was selected to participate in a new 4-hour training program designed to improve study skills.
Plot the market-share data. (b) Describe the trend (if any) and discuss possible causes. (c) Fit three trends (linear, exponential, quadratic).
A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct.
The probability that home sales will increase in the next 6 months is 0.25. The probability that the interest rates on loans will go up in the same period is estimated to be 0.74.
What is the probability that an improperly adjusted machine will produce five or more items before it is stopped? What is the average number of items an improperly adjusted machine will produce before being stopped?
This sample is 500 so the distribution of the sample means will be normal, no matter what the shape of the actual distribution of dollar losses.
A researcher wished to estimate the number of households with two cars. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%.
The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute.
What is meant by a probability distribution? Discuss how you could use one of the text probability distribution at your workplace to help solve a business problem.
Machine which fills quart milk cartons is set up to average 32.2 oz per carton, with standard deviation of 1.2 oz. Determine probability that filled carton will contain less than 32 oz of milk?
Is there sufficient evidence to support the claim that site has an effect on the amount of pesticide?
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