A researcher is interested in finding a 95%confidence interval for the mean number of timesper day that college students text. The studyincluded 109 students who averaged 41.8 texts perday. The standard deviation was 14.9 texts. Roundanswers to 3 decimal places where possible.a. To compute the confidence interval use a?distribution.b. With 95% confidence the population meannumber of texts per day is betweenandtexts.c. If many groups.of 109 randomly selectedmembers are studied, then a different confidenceinterval would be produced from each group. About95 percent of these confidence intervals willcontain the true population number of texts perday and about 5percent will not contain thetrue population mean number of texts per day.

Givensample size(n)=109Mean(x)=41.8standard deviation(s)=14.9

Answered: A researcher is interested in finding a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given the following: Sample Mean = 84.3 Population Variance = 144 Sample size = 35 a. Calculate a 90% confidence interval for the mean. Interpret this interval. b. Calculate a 99% confidence interval for the mean. c. Explain the relationship between Confidence Levels and the resulting intervals.
. Assume women’s heights are normally distributed with a mean of 63.6 inches and astandard deviation of 2.5 inches.a. If 1 woman is randomly selected, what is the probability that her height is lessthan 64 inches?b. If 36 women are randomly selected, what is the probability that they have a meanheight of less than 64 inches?
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X= the number of pairs of sneakers owned. The results are as follows: X Frequency Relative Frequency Cumulative Relative Frequency 1 2 2 5 3 8 4 12 5 12 7 1 a.) Find the sample mean x. (Round your answer to two decimal places.) b.) Find the sample standard deviation, s. (Round your answer to two decimal places.) c.) Find the first quartile. d.) Find the median. e.) find the 3rd quartile f.) What percent of the students owned at least five pairs? (Round your answer to one decimal place.) g.) Find the 40th percentile. h.) find the 90th percentile İ) Contruct a box plot of the data j) complete the columns of the chart k) construct a histogram of the data
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
A set of exam scores is normally distributed with a mean = 82 and standard deviation = 9. Use the Empirical Rule to complete the following sentences. 68% of the scores are between and 95% of the scores are between and 99.7% of the scores are between and
We would like to create a confidence interval for the mean. Which of the following would produce the smallest margin of error? Select one: a.A 95% confidence level and a sample size of 150 subjects b. A 99% confidence level and a sample size of 600 subjects. c. A 99% confidence level and a sample size of 150 subjects. d.A 95% confidence level and a sample size of 600 subjects.
An airline charges the following baggage fees: $25 for the first bag and $40 for the second. Suppose 53% of passengers have no checked luggage, 32% have only one piece of checked luggage and 15% have two pieces. We suppose a negligible portion of people check more than two bags.a) The average baggage-related revenue per passenger is: $ (please round to the nearest cent)b) The standard deviation of baggage-related revenue is: $ (please round to the nearest cent)c) About how much revenue should the airline expect for a flight of 120 passengers? $ (please round to the nearest dollar)
Assume that a sample is being used to estimate a population mean . If n = 16, = 38, and s = 3, find the margin of error at a 95% confidence level. Give your answer to two decimal places.
Imagine the mean women’s foot size is a 7.5 with standard deviations of 1.5. a. What percentage of women have a foot size larger than 10? b. If you select 30 people at random is it likely that any of them will have a foot size larger than 10? If so, how many?
C. FIND t a n = 15 for the 98% confidence interval for the mean. %3D 2
A set of exam scores is normally distributed with a mean = 74 and standard deviation = 10. Use the Empirical Rule to complete the following sentences. 68% of the scores are between and 95% of the scores are between and 99.7% of the scores are between and

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