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The following table gives the coal usage and electricity generated by ten randomly selected power stations in South Africa in 1992:
COAL USED (MILLION TONS) POWER GENERATED (MW - HR)
15 35
6 18
10 24
18 32
9 24
7 20
14 32
11 29
5 14
1. Calculated Pearsons correlation coefficient and comment on the value obtained. (show all workings)
2. Determine the line regression line.(show all workings)
3. Estimate the power generated by a power station that consumed 20 million tons of coal. (show all workings)
Find out the estimate of the population mean.The mean daily sales at the Stop and Go are $20,000 for a sample of 40 days. The standard deviation of the sample is $3,000.
Professor Cox needs a volunteer amongst 30 students in his statistical applications course. The average age of his students is 25 years, with the standard deviation of 3 years.
Motorola takes two weeks to supply an order. if the store manager is targeting a fill rate of 99%, what safety inventory should the store carry? What should its ROP be?
A teller can process an average of 100 customers per hour, which also can be modeled by a Poisson distribution. If there is one teller on duty, determine:
Which are likely to be independent events? For those you think are not, suggest reasons why.
The height of women at a school are basically distributed with mean 66.4 in. and standard deviation 3.7 in. Determine the range of heights centered about the mean in which:
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.
If you were to draw a scatter plot of the number of women in the workforce versus the number of Christmas trees sold in the United States for each year between 1930 and the present
The standard deviation of the sample is $3,000. Interpret your findings.
Use the table to determine whether the correlations are significant and how you would interpret the results. The correlation between speed and strength for 20 women is .567. Test these results at the .01 level using a one-tailed test.
Compute the variance and standard deviation of the number that will arrive within two days.
Polls showed the two main candidates in 2004 presidential election were nearly tied on the day before the election. To predict the winner a newspaper would like to have a poll that has a margin of error of less than 1%.
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