The first method of moments equation uses the first sample moment about the mean a. True b. False
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The first method of moments equation uses the first sample moment about the mean
a. True
b. False
In general, the first method of moment equation uses the first sample moment about the origin.
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- d) Correlation by eye Sample size=45 y 20- 15- og 8. 10- 5. 10 15 20 25 X Try to guess the sample correlation within +/- 0.1 Guess: Correlation: Sample coeficient of correlation a o 00 00Help me to find the answerIn a certain test in Calculus, the mean score of a group of 100 students was 30 and the standard deviation was 8. In a test in Physics, the mean was 52 and the standard deviation was 6. If a student scored 65 in Calculus and 70 in Physics, in which test did the student perform better? O The students performed better in their Physics test O The performance is unable to determine. O The students performed the same in both tests. O The students performed better in their Calculus test
- A teacher has 10 students in her class. She collected the finishing time (in minutes) of the mathematics testfor all students:20 24 22 32 23 25 37 26 40 35(a) Find the 25th percentile and 75th percentile of the data. (b) Find the median of the data. (c) Find the range and interquartile range of the data (d) Comment on the skewness of the data with a reason.Consider the following sample: 5.2,7.6,3.4,6.5,7.1 which is selected from r(a, ß). The method of moments estimator of a is: (c) 5.96 (a) 6.5 (b) 5.5 (d) 29.8 (e) None a b d e OWhich of the following is TRUE about the mean of the sampling distribution of the sample means? It is less than the population mean. It is not related to the population mean. It is equal to the population mean. It is greater than the population mean.
- Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shipping time, μ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 34 minutes and the standard deviation of the times to be 16 minutes. Based on the information, answer the questions below.Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 37 35 6 to 6.9 60 57 7 to 7.9 78 76 8 or more 65 92 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. (b) what is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night?
- Answer number 4 only..first picture is background informationIn each situation, find the value of the standardized statistic for the sample mean, and indicate whether the standardized statistic is a t-statistic or a z-statistic. (Round your answer for part (a) to three decimal places.) (a) x = 195, u= 190, s = 21, n = 4 standardized statistic = it's t because s is used instead of o v (b) x = 195,H= 190, o = 25, n = 4 standardized statistic = it's z because o is known (c) x = 168,H= 190, s = 22, n = 25 standardized statistic = : it's t because s is used instead of o