The weights of Caramel Cubes candies are normally distributed with population standard deviation 2.4 grams. In a sample of 16 CaramelCubes, the mean weight was found to be 34.9 grams. A hypothesis test is conducted at the alpha = 0.01 significance level to determine whether the mean weight of all caamelCubes candies is equal to 36 grams.
Find the P-value for this hypothesis test. Round your answer to four decimal places.
Answers
Answer:
A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was two ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. a. i. _____ ii. _____ iii. _____ b. In words, define the random variable . c. In words, define the random variable . d. Which distribution should you use for this problem? Explain your choice. e. Construct a 90 confidence interval for the population mean weight of the candies. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. f. Construct a 98 confidence interval for the population mean weight of the candies. i. State the confidence interval. in. Sketch the graph. iii. Calculate the error bound. g. In complete sentences, explain why the confidence interval in part