a) A given distribution has a population
b) A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 11. What z-score would be associated with the value x = 98?
c) A given distribution has a population mean, μ, of 143 and a population standard deviation, σ, of 5. Compute the raw, x-value associated with a Z-score of -2.02.
d) A given distribution has a population mean, μ, of 110 and a population standard deviation, σ, of 11. Compute the raw, x-value associated with a Z-score of 1.12.
e) Suppose a population is known to be
f) Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 88 and 116?
g) Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 102 and 130?
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- A. What is the 95% Cl of a population mean when the mean of a sample is 10, the standard deviation is 2, and the sample size is 100? B. What is the 95% Cl of a population mean when the mean of a sample is 10, the standard deviation is 2, and the sample size 25? C. discuss the difference in these Cis. What is the relationship between the Cl range and sample size?arrow_forwardFor a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38beats per minute, the mean of the listed pulse rates is x =73.0 beats per minute, and their standard deviation is sequals=23.2 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?arrow_forwardFor a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s= 14.2 beats per minute. a. What is the difference between the pulse rate of 35 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 35 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 35 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations, (Round to two decimal places as needed.) c. The z score is z=. (Round to two decimal places as needed.) d. The lowest pulse rate isarrow_forward
- For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?arrow_forwardFor a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 34 beats per minute significant?arrow_forwardThe reading speed of second grade students in a large city is approximately normal, with mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O B. If 100 different students were chosen from this population, we would expect to read exactly 95 words per minute. O C. If 100 different students were chosen from this population, we would expect to read less than 95 words per minute. (b) What is the probability that a random sample of 13 second grade students from the city results in a mean reading rate of more than 95 words per minute? The probability is 0.0746. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 independent samples of n = 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 95 words per minute. O B. If 100 independent samples of n = 13 students were…arrow_forward
- Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallestarrow_forwardFor a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?arrow_forward21. A distribution of exam scores has a mean of µ = 78. a. If your score is X = 70, which standard deviation would give you a better grade: o = 4 or o = 8? b. If your score is X = 80, which standard deviation would give you a better grade: o = 4 or o = 8?arrow_forward
- Suppose that 50 measurements were taken and the mean was calculated to be 4.55. Assume next that one of the data items was 19.4This was assumed to be an outlier as was discarded. What would be the mean of the remaining 49 numbers? Iarrow_forwardSolve step by step in digital format Suppose that the average income of the engineers hired at REDUNO presents an approximately normal behavior with a mean of $17,000 pesos and a standard deviation of $3,000 pesos. a) What percentage of the employees will have incomes greater than $20,000 pesos?b) In a random sample of 50 employees, about how many people can be expected to have incomes of less than $15,000 pesos?arrow_forward7.arrow_forward
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