find the probability that the annual return of a random year will be less than 11.5%.
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According to Investment Digest, the arithmetic mean of the annual return for common stocks over an 85-year period was 9.5% but the value of the variance was not mentioned. Also 25% of the annual returns were below 8% while 65% of the annual returns were between 8% and 11.5%. The article claimed that the distribution of annual return for common stocks was bell-shaped and approximately symmetric. Assume that this distribution is normal with the mean given above.
find the probability that the annual return of a random year will be less than 11.5%.
95%
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- 1. Describe the key features of the normal curve and explain why the normal curve in real-life distributions nevermatches the model perfectly.Can you explain how I can find the variance for the data using the formula provided? I don’t understand what the numbers for E and X are.AFTER ENTERING TEST SCORES FROM HER STATISTICS CLASS, THE INSTRUCTOR CALCULATES THE MEAN AND THE MEDIAN AND FINDS THAT THE MEAN IS SIGNIFICANTLY SMALLER THAN THE MEDIAN? WHAT MIGHT THIS IMPLY ABOUT THE SHAPE OF THE DISTRIBUTION OF HER STUDENTS' TEST SCORES?
- Suppose the correlation between height and weight for adults is +0.40.What proportion (or percent) of the variability in weight can be explained by the relationship with height?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…In a recent year, grade 6 Ohio State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed. This is not a normal approximation, so do not correct for continuity. Find the probability that a student had a score higher than 295. Find the probability that a student had a score between 230 and 305. What is the highest score that would still place a student in the bottom 16% of the scores? If 4000 students are randomly selected, how many will have a test score that is less than 300? A random sample of 40 students is drawn from this population. What is the probability that the mean test score is greater than 290?
- Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.7 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.7. Both women's and men's reach from this position is normally distributed. If this design is implemented, (a) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table.Please also find the variance, standard deviation.As part of the preliminary analysis of the data provided in Table D, the researcher produced the scatter plot below. Average taings, mo = e Scatter plot of Sales vs Earnings (IV) (V) (VI) A. (I), (II), and (VI) B. (II), (III), and (V) C. (III), (IV), and (V) D. (II), (IV) and (V) 40 . 50 Average Annual Sales 60 Which THREE of the following assumptions are inferable or discernible from the scatter plot? (1) Whether the sample of 20 MSMEs is representative of the population of MSMEs in the Western Cape province. Whether the assumption of a linear relationship between the independent variable and the dependent variable has been met or violated. Whether the assumption of normality of the independent variable and the dependent variable has been met or violated. The absence or presence of outliers in the data set. The direction of the relationship between the independent variable and the dependent variable. The significance of the relationship between the independent variable and the…
- When an observation that is much larger than the rest of the data is added to a data set the value of the median will increase substantially . True or False?Suppose that the mean and standard deviation for vertical jump scores are 40 and 6 cm respectively. A York student jumps 52 cm on the vertical score. Translate the student’s jump into a z-score.
