The average price of a random sample of 12 bottles of diet salad dressing taken from different stores is $3.43. The standard deviation is $0.18. The average price of a random sample of 16 regular salad dressings is $3.38. The standard deviation is $0.20. At alpha = 0.10, is there a significant difference in price?
The average price of a random sample of 12 bottles of diet salad dressing taken from...
A manufacturer fills soda bottles. Periodically they test to see if there is a difference in the amount of soda put in cola and diet cola bottles. A random sample of 14 cola bottles contains an average of 502 mL of cola with a standard deviation of 4 mL. A random sample of 16 diet cola bottles contains an average of 499 mL of cola with a standard deviation of 5 mL. Test the claim that there is a difference...
A random sample of 10 filled sports drink bottles is taken in one bottling plant, and the mean weight of the bottles is found to be 22 ounces with a variance of 0.09 ounces squared. At another plant, 10 randomly selected bottles have a mean weight of 21 ounces with a variance of 0.04 ounces squared. Assuming the weights in both populations are normally distributed and the population variances are equal, test whether there is difference between the average weights...
To investigate the effectiveness of a diet, a random sample of 16 female patients is drawn from a population of adult females using the diet. The weight of each individual in the sample is taken at the start and at the end of the diet. Assume that the population of differences in weight before and after the diet follows a normal distribution. Suppose the mean decrease in weights over all 16 subjects in the study is 4.0 pounds with the...
2. A store sells "16-ounce" boxes of Captain Crisp cereal. A random sample of 12 boxes was taken and weighed. The average weight of cercal was 15.93 ounces with the sample standard deviation 0.135 ounces. The company that makes Captain Crisp cereal claims that the average weight of cereal in a box is at least 16 ounces. Assume the weight of cereal in a box is normally distributed. We wish to test Ho: μ 16 vs H 1 : μ...
A store sells "16-ounce" boxes of Captain Crisp cereal. A random sample of 12 boxes was taken and weighed. The average weight of cereal was 15.93 ounces with the sample standard deviation 0.135 ounces. The company that makes Captain Crisp cereal claims that the average weight of cereal in a box is at least 16 ounces. Assume the weight of cereal in a box is normally distributed. We wish to test H 0 : μ 16 vs H 1 :...
A random sample of 12 shearing pins is taken in a study of the Rockwell hardness of the head on the pin. Measurements on the Rockwell hardness were made for each of the 12, yielding an average value of 48.5. Assuming the population standard deviation is 1.5, construct a 90% confidence interval for the mean Rockwell hardness. Test the hypothesis that the average Rockwell hardness is 48 at a 0.01 level of significance.
A random sample of 49 lunch customers was taken at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes. a. Compute the standard error of the mean. b. Construct a 99% confidence interval for the true average amount of time customers spent in the restaurant. c. With a .99 probability, how large of a sample would have to be taken to provide a...
Suppose a random sample of 900 measurements is taken from an unknown population. The average of these measurements is an approximate normal random variable with a mean that is equal to the mean of the population. equal to the standard deviation divided by 30. equal to the population mean divided by 900. always less than the population mean. equal to the population mean divided by 30.
random sample of 16 observations was taken from a normally distributed population. The average in the sample was 80 with a variance of 144. a Construct a 90% confidence interval for 1. b. Construct a 99% confidence interval for . c. Discuss why the 90% and 99% confidence intervals are different. What would you expect to happen to the confidence interval in part a if the sample size was increased? Be sure to explain your answer d.
12. A random sample of 64 items was taken and the following values computed: Sample Mean 100 Sample Standard Deviation 20 Assume the data is normal. Find the 95th % confidence interval for the population mean