Please help with all 9 questions. PLEASE

\fThe Central limit Theorem says that O the sampling distribution of the sample mean is equal to the population mean divided by the sample size. 0 the sampling distribution of the sample mean is approximately normal if the sample size is large. 0 the standard deviation of the sampling distribution of the means is equal to the population mean. the standard deviation of the sampling distribution of the means is equal to the population standard deviation. A smaller sample size will 0 result in a smaller standard deviation of the sampling distribution. 0 result in a larger standard deviation of the sampling distribution. 0 have no impact on the standard deviation of the sampling distribution . An outlier is considered a value that is more (or less) than 2.5 standard deviations from the mean. Suppose a production process has a mean of 90 and a standard deviation of 6, which of the following values would be considered an outlier? O None of the above values are outliers An statistician investigated the mean time that people waited in line while checking out at a grocery store. She observed 100 customers and computed a mean time of 12.35 minutes and a standard deviation of 1.38 minutes. The 90% condence interval for the population mean is: Q a) 12.30 to 12.40 minutes 0 b) 12.12 to 12.58 minutes O c) 12.15 to 12.55 minutes 0 d) 12.07 to 12.62 minutes A professor at UWG wants to know what proportion of students use a car on a daily basis. She obtains a random sample of n=16 student responses. From that sample, she determined that 0.5 percent of UWG students used a car on the previous day. As her assistant she asks you to construct the 99% condence interval around the proportion of students using cars during the previous day. What is the lower bound value of the 99% condence interval for this proportion? Enter your upper-bound proportion value as a decimal rounded to the 3rd place to the right of the decimal, e.g., .234, not 23.4. Your Answer: l Answer A sample of 25 households was randomly selected to be part of a study on water consumption in Carroll County Georgia. The number of gallons of water consumed for each household was recorded for the most recent month. The underlying distribution is symmetric. The average consumption was found to be 400 gallons with a sample standard deviation of 20 gallons. Construct the 95% condence interval. What amount of water represents the upper bound of the 95% condence interval. Round your answer to the nearest whole gallon. Your Answer: Answer A sample of 25 cans of Campbell's chicken noodle soup were randomly sampled from a packing line. The underlying distribution of chicken weight per can is symmetric. The average weight of chicken meat contained in the sample of cans was measured to be 28 grams, with a sample standard deviation of 8 grams. Construct the 95% confidence interval for the weight of chicken meat (in grams). What is the value of the weight that represents the lower bound of the 95% confidence interval for chicken meat in these cans of soup. Round your answer to the nearest whole gram. Your Answer: AnswerA random sample of 10 batteries is obtained. It is determined that the mean life is 6 hours, with a sample standard deviation of 1 hour. Find the 95% condence interval (CI) for the unknown mean of the population. Interpret the CI. Note: this is a small sample size problem with an unknown population standard deviation. You will need to use a t-table to help nd the CI. 0 a) 5.2847 to 6.7153 hours O b) 4.2847 to 5.7153 hours O c) 4.7153 to 5.2847 hours Q d) 5.7153 to 6.7153 hours