**Course **

### MATH 225N Statistical Reasoning For The Health Sciences

MATH 225N Week 6 Assignment: Confidence Intervals – Empirical Rul**e**

**Question:**In a random sample of 30young bears, the average weight at the age of breeding is Assuming the population ages are normally … with a population standard deviation is 30pounds, use the Empirical Rule to construct a 68%confidence interval for the population average of young bears at the age of breeding. Do not round intermediate calculations. Round only the final answer to the nearest pound. Remember to enter the smaller value first, then the larger number.**Question:**The average number of onions … to make French onion soup from a population of recipes is unknown. A random sample of recipes yields a sample mean of x¯=8.2 onions. Assume the sampling distribution of the mean has a standard deviation of σx¯=2.3Use the Empirical Rule to construct a 95%confidence interval for the true population mean number of onions.**Question:**In a survey, a random sample of adults were asked whether a tomato is a fruit or The survey resulted in a sample proportion of p′=0.58, with a sampling standard deviation of σp′=0.08, who stated a tomato is a fruit.Write a 99.7% confidence interval for the true proportion of adults who … a tomato is a type of fruit.**Question:**The average length of an eel from a population of short-finned eels is unknown. A random sample from the population yields a sample mean of x¯=1.9feet. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.6feet.Use the Empirical Rule to construct a 95% confidence interval for the true population mean length…………

**SOLUTION **

In a random sample of 30 young bears, the average weight at the age of breeding is 312 pounds. Assuming the population ages are normally distributed with a population standard deviation is 30 pounds, use the Empirical Rule to construct a 68% confidence interval for the population average of young bears at the age of breeding. Do not round intermediate calculations. Round only the final answer to the nearest pound. Remember to enter the smaller value first, then the larger number.

Answer: 307, 317**……….please click the icon below to purchase the solution at $10 **