d to four decimal places as needed.) the given sample mean be considered unusual? The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean beir The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being w The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

Suppose a random sample of n = 350 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 280 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.) ...

In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…

A sample of n = 6 scores has a mean of M = 5. One person with a score of X= 12 is added to the distribution. What is the mean for the new set of scores? O M= 8

College students were given three choices of pizza toppings and asked to choose one favorite. Results are shown in the table. toppings freshman sophomore junior senior cheese 27 15 meat veggie OA. 400 B. 625 15 OC. 388 OD. 209 28 15 15 22 15 28 22 15 Estimate the probability that a randomly selected student who is a junior or senior prefers veggie. Round the answer to the nearest thousandth. 22

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders (Frequency) Mean Test Score High School Glenwood 82 262 Central 92 311 Lincoln 67 168 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was the average of 82, 92, and 67, whic incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place 80.3. Of course, that is Mean of all ninth grader's scores *

B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.