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Sale of Air Conditioners
The average number of air conditioners sold in 2015 in a city was 3600 per day. Suppose the standard deviation is 1404 and the distribution is right skewed. Suppose we take a random sample of 81 days in the year.
a. Is the sample size large enough to use the Central Limit Theorem for means? Explain.
b. What are the mean and standard error of the sampling distribution?.
c. What is the probability that the sample mean will be more than 2808 units away from the population mean?
A mean of 25 inches and a standard deviation of 5 inches. What is the probability that the area receives at least 30 inches of rain in a year?
The analysis needs to be re-run adding the error into the regression sum of squares.
the weight of an organ in adult males has a bell shaped distribution with a mean of 310 grams and a standard deviation
That is, find the 80thpercentile, which is the X that represents the weight of the suitcase. Assume that the variable is normally distributed.
Do this year's data show a significantly different average response time? What null and alternative hypotheses should you test to answer this question?
an airline company sells 160 tickets for a plane with 150 seats knowing that the probability that a passenger will not
Find the sample size required for two-sided nonparametric statistical tolerance limits for the viscosity of a grease used as a lubricant.
Compute mean absolute percentage error (MAPE) of the forecasts.
A manufacturer of microwaves gathers information on microwave sales from a random sample of 50 stores in a large retail chain. In the sample, the mean number of microwaves sold per store last week was 19, with standard deviation 2.
a pair of dice is rolled 270 times. using the normal curve approximation what is the probability that a total of 7
Calculate the mean of a gamma G(4.3, 6.2) random variable using- Accept-Reject with a gamma G(4, 7) candidate;- Metropolis-Hastings with a gamma G(4, 7) candidate;
Find the correlation between these numbers by using a computer or a statistical calculator.
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