For a population, a deviation score is computed as X – σ.
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- Suppose that the 1st quartile (Q1) and 3rd quartile (Q3) of the data are 15 and 20, respectively. What is the value of upper whisker in the box plot? a. 25.5 b. 26 c. 27.5 d. 28i need in words not handwritten solutionA distance was observed four times as 248.13, 248.06, 248.18, 248.15. The observations were given a weight of 3, 1, 2, and 3, respectively, by the observer. Calculate the weighted mean for line BC
- Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degrees C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 95 , the 95 th percentile. This is the temperature reading separating the bottom 95 % from the top 5 %.Internet Service Providers The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50 and the standard deviation is $20. The distribution is not Normal: many households pay a low rate as part of a bundle with phone or television service, but some pay much more for Internet only or for faster connections. A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x be the mean amount paid. 1. Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds $55. 2. What are the mean and standard deviation of the sampling distribution of x ? 3. What is the shape of the sampling distribution of x ? Justify your answer. 4. Find the probability that the average fee paid by the sample of households exceeds $55.125+ 120+ 115- 110+ 105+ 5.0 5.5 6.0 6.5 7.0 Advertising Dollars (thousands) Monthly Sales (thousands)
- The amount people pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services. Let X be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x? Show your work and justify your reasoning. Part B: What is the shape of the sampling distribution of X? Justify your answer. Part C: What is the probability that the average electric service paid by the sample of electric service customers will exceed $170? Show your work.For the foilowing data obtain (i) mean, (ii) median, (iii) mean deviation from median, and (iv) the coefficient of variations : 0, – 1, 1, – 2, 4, 5, 6, 8, 12, 11, 10.John wishes to estimate the population standard deviation of salary of college graduates who took a statistics course in college. How many college graduates must he survey? Assume that he wants to be the sample standard deviation to be within 1% of the population standard deviation and to be 99% confident of that statement.
- A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Find the mean and median for each of the two samples and then compare the two sets of results. Are the measures of center the best statistics to use with these data? What else might be better? Systolic: 147 137 146 148 105 102 129 122 95 99 Diastolic: 86 79 68 60 77 82 89 84 72 58Type your name(s) here: Insert Histogram (FG%) Here 1. Calculate the average scores (M) and standard deviations (SD) for FG%, 3P%, FT%, OREB, AST, DREB, STL, and BLK using Excel functions "average" and "stdev"(2pts.). 2. Calculate the z scores for FG%, 3P%, FT%, OREB, AST, DREB, STL, & BLK under ZFG%, Z3p%, ZFT%, ZOREB, ZAST, Z DREB, ZSTL, & ZBLK using function "standardize" or Zscore formula (5pts.). 3. Calculate the average scores (M) and standard deviations (SD) for ZFG%, Z3P%, ZFT%, ZOREB, ZAST, ZDREB, ZSTL, and ZBLK using Excel functions "average" and "stdev"(5pts.). 4. Calculate the average Z scores for Z_FG%, Z_3P%, Z_FT%, Z_OREB, Z_AST, ZDREB, ZSTL, and ZBLK (5pts.) 5. Based on the average_Z_scores, who is the MVP (using the "Sort & Filter" tab to find the highest average Z score) ? _____________________(Type the MVP name, 5pts.) 6. Calculate the T scores for all of players based on the average Z-score (5 pts) 7. Calculate the 68.26% of observations for age…The figure shows population density (people per square mile) for all states of a certain country. The states are divided into four geographical regions: A, B, C, and D. Answer the questions below. D- 0 100 200 300 400 500 600 700 800 900 1000 1100 People per Square Mile Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? OA. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. B. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness. OC. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. OD. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. List the approximate median…
