MATH 225N Week 6 Assignment; Confidence Interval for Mean – Population Standard Deviation Known
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$20.00
| Term | Summer 2021 |
| Institution | MATH 225N Statistical Reasoning for the Health Sciences |
| Contributor | Patricia |
- Question: The lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 8 inches and an unknown population mean. A random sample of 25 snakes is taken and results in a sample mean of 58inches.
Identify the parameters needed to calculate a confidence interval at the 99% confidence level. Then find the confidence interval.
- Question: Lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 8 inches and an unknown population mean. A random sample of 25 snakes is taken and results in a sample mean of 58inches.
What is the correct interpretation of the confidence interval?
- Question: Suppose the germination periods, in days, for grass seed are normally distributed. If the population standard deviation is 3 days, what minimum sample size is needed to be 90% confident that the sample mean is within 1day of the true population mean?
- Question: Suppose the finishing times for cyclists in a race are normally distributed. If the population standard deviation is 16minutes, what minimum sample size is needed to be 90% confident that the sample mean is within 5minutes of the true population mean?
- Question: The weights, in pounds, of dogs in a city are normally distributed with a population standard deviation of2 pounds and an unknown population mean. A random sample of 16 dogs is taken and results in a sample mean of 28pounds.
Identify the parameters needed to calculate a confidence interval at the 90% confidence level. Then find the confidence interval.
- Question: The weights, in pounds, of dogs in a city are normally distributed with a population standard deviation of 2 pounds and an unknown population mean. A random sample of 16 dogs is taken and results in a sample mean of 28pounds.
- Question: What is the correct interpretation of the confidence interval?
Suppose the weights, in pounds, of the dogs in a city are normally distributed. If the population standard deviation is 3pounds, what minimum sample size is needed to be 95% confident that the sample mean is within 1pound of the true population
mean?
- Question: Suppose the scores of a standardized test are normally distributed. If the population standard deviation is 4 points, what minimum sample size is needed to
be 95% confident that the sample mean is within 1 point of the true population mean?
- Question: The population standard deviation for the scores of a standardized test is 5 points. If we want to be 95% confident that the sample mean is within 2 points of the true population mean, what is the minimum sample size that should be taken?
- Question: Suppose the heights of seasonal pine saplings are normally distributed. If the population standard deviation is 14 millimeters, what minimum sample size is needed to be 95% confident that the sample mean is within 4millimeters of the true population
mean?
| Instituition / Term | |
| Term | Summer 2021 |
| Institution | MATH 225N Statistical Reasoning for the Health Sciences |
| Contributor | Patricia |
