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- A scale is known to be "low-calibrated" in that it measures an aluminum bar to be 4 grams lower than the actual weight. If ????μold is the mean of all possible measurements of the bar using the old calibration, and ????μnew is the mean of all possible measurements of the bar using a re-calibrated scale. It is desired that ????−????=4μnew−μold=4. Consider the test ?0:????−????=4H0:μnew−μold=4 vs. ?0:????−????≠4H0:μnew−μold≠4 Sample after calibration: mean is 95.8 , SD is 4.9 and sample size is 10 Sample before calibration: mean is 89.352 , SD is 4.2 and sample size is 62 We do not know population standard deviations. What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test)2. What does it mean for a scatter plot to have a negative trend? O A. Higher c-values tend to go with higher y-values. OB. Higher -values tend to go with lower y-values. OC. The x- and y-values appear to be unrelated. OD. None of these are true.This data was collected from the members of our class. I have tried to remove anything that would identify an individual. 1. What is the scale of each variable? 2. Construct a frequency table and chart showing the distribution across gender in this class. 3. Construct a cross tabulation with Gender in one direction and Height in the other direction. Group the height category into 5 groups. 4. Is there a difference in the age distribution across gender? 5. Give a summary of our class based on this data about our class. Gender Height Year Born Male 76 1994 Male 72 1983 Female 65 1997 Male 68 1966 Female 67 1997 Male 70 1996 Male 71 1996 Male 73 1996 Male 72 1995 Male 71 1998 Male 73 1993 Female 66 1980 Female 62 1998 Male 76 1984 Female 70 1985 Female 62 1992 Female 62 1992 Male 73 1996 Female 68 1987 Male 60 1971 Female 60 1971 Male 60 1971 Male 74 1970 Male 77 1998 Male 77 1998 Male 68 1990 Female 64 1996 Male 80 1997 Male…
- 2.) Explain why the relative frequency column of a frequency table might not sum to 1.0.For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the American League teams for the year 2000. The variable x denotes the 2000 player payroll (in millions of dollars), and the variable y denotes the mean attendance (in thousands of fans) for the 81 home games that year. The data are plotted in the Figure 1 scatter plot. Also given is the product of the player payroll and the mean attendance for each of the fourteen teams. (These products, written in the column labelled "xy", may aid in calculations.) Anaheim Baltimore Boston Chicago White Sox Cleveland Detroit Kansas City Minnesota Mean Player payroll, x attendance, y (in $1,000,000s) thousands) New York Yankees Oakland Seattle Tampa Bay Texas Toronto Send data to calculator 59.2 80.5 97.0 42.3 90.5 68.6 31.8 23.5 114.3 43.0 69.9 65.2 72.7 66.8 25.56 40.74 31.98 24.07 42.72 31.23 20.74 13.09 39.88 21.36 38.89 18.27 34.57 22.47 xy x 1513.152 3279.57 3102.06…Below is a histogram of the current prices of different varieties of face masks, with a skewness of measure of -1.380. Based on your knowledge of graph shape, approximate the mean (average) cost of a box of masks. Count 15 10 5 0 T 20 37$ per box of 24 $8 per box of 24 49$ per box of 24 24$ per box of 24 Current price of a box of 24 facemasks 25 30 Price 35 40 45
- The Law of Large Numbers states that as the number of observations in a sample increases, the mean of this is sample becomes a. exactly equal to the mean. b. closer and closer to the population mean. c. close to 0. d. further and further from the population mean.The interquartile range is more susceptible to outliers in the data than is the range A. True B. False14. The range is defined as the: a. variability of the data with reference to extreme scores. b. the variability of the data with reference to the mean. c. variability of the data in terms of how many subjects achieved each value of the variable. d. SS/n