BANA 2372 .2023 with 100% correct questions and answers

Umbrella corporation would like to survey its employees about the level of interest in flexible work schedules. Which of the following is the parameter of interest in this study? Percentage of employees who are interested in flexible work schedules. The director of the online MBA program at a large business school surveys a sample of current students to determine their level of satisfaction with the program. She finds that 68% report being "very satisfied" with the online program. The value "68%" represents a statistic Sweet N' Spicy, a restaurant and gift shop, has recently launched a sales campaign focused on the gift shop. To determine interest in the campaign, management plans to survey a random sample of their regular customers. Suppose that Sweet N' Spicy's regular customers belong to a rewards program and have a rewards ID number. Sweet N' Spicy decides to randomly select 100 numbers. This sampling plan is called sample random sampling The Central Limit Theorem is the most important theorem (or "math fact") in statistics. It states that _______________________has approximately a(an) _____________________ with mean and standard deviation (or standard error) __________________________. the sampling distribution of the sample mean; normal distribution; regardless of what the original population distribution looks like A _____________________is the distribution of a calculated statistic, such as a sample mean or sample proportion, when we consider taking repeated samples of a given size, n, from the same population or process and calculating that statistic each time. population distribution In the U.S., it has been claimed that adults between the ages of 18 and 30 send an average of 45.4 text messages per day, with a standard deviation of 24.5. If a random sample of 104 adults in this age group were collected, what would be the mean of the sampling distribution of the sample mean, to one decimal place? Hint: This is primarily a question about one of the properties of the sampling distribution of the sample mean. Reread the theorems ("math facts") given in the PowerPoint slide and/or the Course Packet. ... In the U.S., it has been claimed that adults between the ages of 18 and 30 send an average of 52.8 text messages per day, with a standard deviation of 24.2. If a random sample of 109 adults in this age group were collected, what would be the standard deviation of the sampling distribution of the sample mean, to one decimal place? Hint 1: This is primarily a question about one of the properties of the sampling distribution of the sample mean. Reread the theorems ("math facts") given in the PowerPoint slides and/or the Course Packet. Hint 2: Although the setup of this problem is similar to another problem in this assignment, the specific numbers will differ. ... Suppose you imagine repeatedly taking random samples of size 100 from a population with a mean μ = 50 and a standard deviation σ = 20. Then the _ says that the _ has approximately a _ distribution with a mean equal to _ and a standard deviation equal to _. Central limit theorem Sampling distribution of the sample mean Normal 50 2 A machine in a manufacturing process that produces lengths of wire is "calibrated" (i.e., operating properly) if the average length of the wire is 117 cm. Natural variability in the process results in some wires being slightly longer or shorter than this, so the length of wire this machine produces is actually a random variable. It is known that the process has a standard deviation of 5.2 cm. Find the probability that, in a random sample of 36 lengths of wire, the sample mean would be less than 118 cm. Report your answer to four decimal places. .8749 An analyst working for a social media company has determined that the mean number of "friends" that users of the company's main service (a smartphone app) have is 190, with a standard deviation of 250. What is the probability that, in any random sample of 70 users, the mean number of friends those users have, , would be less than 150? Report your answer to four decimal places. ... The manufacturer of Twitchy Energy Drink is doing a quality control to make sure that the caffeine content (in milligrams, mg) of the drink is meeting specifications. Because of slight natural variation in the bottling process, the amount of caffeine in each bottle is actually a random variable with a mean of 74 mg and a standard deviation of 0.3 mg. The inspector takes a sample of 5 bottles from the production line and finds that the average caffeine content in the sample, , is 73.8 mg. The distribution of caffeine content has historically been reasonably symmetric, although not following an exact normal distribution. Thus, the central limit theorem will still apply, even though the sample size is small. Since the product is advertised to provide an energy boost, the company's main concern is having too little caffeine in its product rather than too much. What is the probability that in any random sample of 5 bottles, the sample mean caffeine content would be 73.8 mg or less? Report your answer to four decimal places. ... A sociologist is interested in the way in which adult men report information on online dating sites, specifically height. The mean height of the population of adult men in the U.S. is 68 inches, with a standard deviation of 2.8 inches. After examining 16 randomly chosen dating profiles, she found that the sample mean height, , was 69.2 inches. What would be the probability of seeing a sample mean height at least this large if the population mean height were really 68 inches? Report your answer to four decimal places. ... Colleges and universities routinely examine the scores their applicants have on the ACT and SAT entrance exams for a variety of reasons. In one recent year, nationwide, scores on the ACT had a mean of 22.3 and a standard deviation of 6.1. Suppose a random sample of 20 applicants was selected from the population of all students nationwide who took the test. What is the probability that the average ACT score of this sample, , would be less than 24? Report your answer to four decimal places. Hint: this is a sampling distribution problem. ...