The serum cholesterol levels (in mg 222, 230, 218, 213, 196, 208, 235, 220, 247, 254, 242, 215, 259, 237, 186, 232, 249, 206 Send data to calculator (a) The 25th percentile: 2) of 18 individuals are dL Find 25th and 70th percentiles for these cholesterol levels. (b) The 70th percentile: 0 mg dL mg dL
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- Warren wants to know if the amount of coffee that you drink is related to the number of hours that you stay awake. He recruits 50 participants using random sampling to report how much coffee they drank and the time of the day that they went to sleep. He then performs a correlation to determine the association between the amount of coffee that was consumed and the number of hours that they stayed awake. There was a statistically significant positive correlation between amount of coffee that participants drank and the number of hours that they stayed awake, r(49) = .82, p < .05, two-tailed, r2 = .08. This was a small effect – 8% of the variance in the amount of coffee drank is explained by hours that you stay awake (and vice versa).The line of best fit and the correlation coefficient are calculated for a set of data. The value of the correlation coefficient is r=0.10. What is the strength and type of the correlation for this data? a) weak and positive b) strong and negative c) strong and positive d) weak and negativedetermine whether suicide and homicide rates in metropolitan areas around the country are correlated. a sample of 10 metropolitan areas with their rates (number per 100,000), of suicide and homicide. computed the correlation coefficient of 0.70.
- Given two sets of data X and Y, what does a Spearman's Correlation coefficient of 1 indicate about the relationship between X and Y?A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.69. Calculate the p-value for the test of significance.A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.62. Calculate the p-value for the test of significance.
- The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? Number of Years:7 9 6 7 11 12 11 3 3 7 9 1 Salary (in Dollars): 48,897 62,866 54,585 56,611 53,541 53,541 47,027 47,970 46,668 48,029 46,735 45,000Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are xpected counts are printed below observed counts Total 12 8. Accounting (12.960) (7.830) (6.210) 17 10 8. Sales (16.800) (10.150) (8.050) 35 19 11 8. Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + %3D 0.0024 + 0.0022 + 0.0003 + 0.0317 + 0.0000 + *** =0.2746 %3D DF = ??, p-value = ??? a) Carefully define the null and alternative hypotheses of the x2 test of the above table. b) Find the missing values *', ***', **** ??, ??? c) What is the conclusion of this test? Give reasons for your answer.5. An ecologist is studying the flower Iris versicolor. He measures the width and length of 100 petals of this flower from a large collection of specimens and obtains the following data. Width: AVG = 1.3 cm, SD = 0.2 cm Length: AVG = 4.3 cm, SD = 0.5 cm r = 0.65 One of the petals is at the 30th percentile of both width and length. Relative to all the petals at the 30th percentile width, this petal's length is (circle one) smaller than average about average larger than average Justify your answer using a written explanation and/or a diagram.
- There is a negative correlation between the average litres of wine consumed by residents of a country and the incidence of national coronary deaths. Explain why correlation in this case does not imply causation by suggesting a third variable z that explains the correlation. Is z a common response or a confounding variable? Draw a digraph illustrating the between x, y, and zThe amount of money earned in a day by Ms. Anne’s craft shop was recorded and displayed in the stem-and-leaf diagram shown below in Exhibit 1. Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit = 10 N = * 2 2595 323413 3 55779999 (**) 4 0001233 14 4 5569 *** 5 033445 5 7788 161 What is the median of the distribution? Use the stem-and-leaf diagram above to draw a box-and-whisker diagram. Comment on the skewness of the distribution.