A butcher uses a machine that packages ground beef in three-pound portions. A sample of 47 packages of ground beef has a standard deviation of 4.48 ounces. Construct a 99% confidence interval to estimate the standard deviation of the weights of all packages prepared by the machine. Round to two decimal places.

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Suppose a sample of 543 People is drawn. Of these people, 217 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Enter your answer as a fraction or a decimal number rounded to three decimal places.

A technician working for the Chase-National Food Additive Company would like to estimate the preserving ability of a new additive. This additive will be used for Auntie’s brand preserves. Based on past tests, it is believed that the time to spoilage for this additive has a standard deviation of 8 days. To be 95% confident of the true mean time to spoilage, what sample size will be needed to estimate the mean time to spoilage with an accuracy of one day?

In a sample of 54 walking canes, the average length was found to be 36.1in. with a variance of 2.2
. Give a point estimate for the population variance of the length of the walking canes. Round your answer to two decimal places, if necessary.

A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $150 with a standard deviation of $40. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.