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1 The weights of California opossums are normally distributed with population mean = 6 lbs. and population standard deviation = 0.7 lbs. 1.a What proportion

1

The weights of California opossums are normally distributed with population mean = 6 lbs. and population standard deviation = 0.7 lbs.

1.a

What proportion of individual opossums weigh between 5 to 7 lbs.?

1.b

A random sample of n = 25 opossums is taken. What is the probability that the sample mean is less than 5.8 lbs.?

2

A wholesale supermarket wants to estimate the population mean () for the weight of tomatoes in a box. A random sample is taken, size n = 30. The sample mean is x = 42 lbs. with sample standard deviation s = 6 lbs. Create a confidence interval at 90% confidence for the population mean .

3

A sociologist wants to determine the proportion of community college students who are the first in their family to attend college. A random sample (sample size n = 500) shows 60 students who are first in their family to go to college. Create a confidence interval at 95% confidence for the population proportion p.

4 A researcher wants to estimate the mean time required for an athlete to run a race. The estimate will be made at 95% confidence with an error E = 1 minute. Assume that = 5 minutes. How large should the sample be?

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