Worksheet Chapters 7, 8, & 9 According to the National Association of Theater Owners, the average price for a movie in the United States in 2012 was $7.96. Assume the population standard deviation is $0.50 and that a sample of 30 theaters was randomly selected. 97.9b eraae a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than $7.75? c. What is the probability that the sample mean will be less than $8.10? d. What is the probability that the sample mean will be more than $8.20? . 30 2. The weight of NFL players has increased steadily, gaining up to 1.5 lbs. per year since 1942. According to ESPN, the average weight of a National Football League (NFL) player is now 252.8 lbs. Assume the population standard deviation is 25 lbs. A random sample of 38 NFL players are selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 246 lbs.? c. What is the probability that the sample mean will be more than 249 lbs.? d. What is the probability that the sample mean will be between 254 and 258 Ibs.? e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 252.8 lbs. On Campus Research recently reported that 46% of college students aged 18-24 would spend their spring breaks relaxing at home. A sample of 155 college students was selected.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.