There are hundreds of apples on the trees, so you randomly choose just 96 apples and get a mean weight of 86.37 grams with a standard deviation of 6.79 grams. Assuming that the weight of the apples is normally distributed, what is the margin of error of the 90% confidence interval for the mean weight of the apples?
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- Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 10 randomly selected students are 68, 62, 68, 75, 71, 60, 69, 62, 69 and 70. x¯ = Margin of error at 95% confidence level = 95% confidence interval = [Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 5 inches. The heights of 8 randomly selected students are 63, 60, 74, 68, 60, 66, 72 and 61. x¯ = Margin of error at 99% confidence level = 99% confidence interval =A forestry researcher is conducting a study of trees in the upper midwest. He selects a random sample of 125 red maple trees and measures the trunk diameter of each. The mean of the sample is 25 inches with a standard deviation of 5.2 inches, use this to find a 95% confidence interval for the mean trunk diameter of all red maple trees.
- The average height of students at a university from an SRS of 14 students gave a standard deviation of 2.5 feet. Construct a 95% confidence interval for the standard deviation of the height of students at the university. Assume normality for the data.The heights of 9 men were taken with sample mean of 165 cm and standard deviation 5 cm. The heights of 7 Japanese women were taken with sample mean of 150 cm and standard deviation 3 cm. Assuming that the population standard deviations for heights of men and women are both the same, construct the 95% confidence interval for the difference in mean heights between men and women.The president of a large university wishes to compare the standard deviation of the ages of students presently enrolled to previous years. The distribution of ages has been approximately normal. Find the 90% confidence interval for the population standard deviation of the student ages of the University. A random sample of 20 university students has a standard deviation of 6.1 years in a mean of 23.8 years what is the confidence interval of the population standard deviation?
- An agricultural researcher plants 14 plots with a new variety of corn. The average yield for these plots is X = 155 bushels per acre. Assume that the yield per acre for new variety of corn follows a normal distribution with unknown mean and a calculated sample standard deviation s = 10 bushels. A 90% confidence interval for the unknown mean isKaren wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 63 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 9 and a standard deviation of 2. What is the 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies?A researcher collected data on a sample of 40 stores of a large retail chain, and for each store translate data to a conventional performance rating. The average performance rating among sample values is calculated to be 275. calculate an approxiate 95% confidence interval for the mean performance rating of all stories of the chain. Assume the standard deviation of performance ratings among all store in the chain is 90.
- A study of 40 men on probation showed that their average number of days remained stayed on probation was 186. The standard deviation of the population is 6. Find the 95% confidence interval of the mean number of days men remained on probation. Find the 95% confidence interval of the mean number of days men remained on probation if a sample of 100 probationers is used instead of a sample of 40. Which interval is smaller? Explain why.A sample of 30 NBA players had a sample mean of their heights as 80.5 inches. If the standard deviation of the population of NBA players is 3.5 inches, find a 90% confidence interval for the average height of all NBA players.