Variability of Sample Estimates A political campaign sends volunteors out into the various parts of the state to got a sense of how woll thoir candidate will do in an upcoming eicction. Thir volunteers each get a random sample of 10 people in tho state and find the proportion of poople who are expecting to vote for thar carcditate. The samp" proportions are summarized in the histogram. The mean of these aample proportions is 0.55, and the standard daviaton is 0. 15. 10 Rocal that, for nomally distributed data, about 95% of the data is within 2 standard deviations of the mean. 9. What peroentage of sample proportions arc within 2 standard doviations of the mean for those cata? Does this match what we expect from approximately norTially distributod data? Explain or sow your reasoring. 6. 5. 4 3 Share with Clasn 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 sample proportion of voters for our candidate

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A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. Find P80, the 80th percentile Find P50, the 50th percentile Find the height that corresponds to the first quartile please show all steps using excel formulas

The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for…

The weights of students in a large statistics class vary according to a normal distribution with mean 145 pounds and standard deviation 18 pounds what percent of students weigh less than 100 pounds ?

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You are part of a trivia team and have tracked your team's performance since you started playing, so you know that your scores are normally distributed with u = 76 and o = 12. Recently, a new person joined the team, and you think the scores have gotten better. The sample data is n = 12, sample mean = 86 Assuming a one tailed test, What is the test statistic?

The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. What is the minimum sample size needed if the principal would like to be 90% confident that the sample mean is off by, at most, 2 minutes. Assume that standard deviation is 14 minutes. (Approximate the final answer)

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The number of violent crimes committed in a day possesses a distribution with a mean of 2.1 crimes per day and a standard deviation of 5 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.