The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 adult males is selected. Describe the sampling distribution.
a. |
Since the sample size is greater than 30, the sampling distribution is approximately normal with a sample mean of 69 inches and a sample standard deviation of 9 inches. |
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b. |
Since the sample size is greater than 30, the sampling distribution is approximately normal with a sample mean of 69 inches and a sample standard deviation of 0.667 inches. |
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c. |
Since the sample size is greater than 30, the sampling distribution is approximately skewed to the right with a sample mean of 69 inches and a sample standard deviation of 9 inches. |
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d. |
Since the sample size is greater than 30, the sampling distribution is approximately skewed to the left with a sample mean of 69 inches and a sample standard deviation of 0.667 inches. |
Which of the following correctly describes a continuous random variable?
a. |
We cannot list all of the possible values of a continuous random variable. |
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b. |
We cannot list all of the probabilities for each one of the infinite number of conceivable values of the variable. |
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c. |
We commonly associate probabilities with ranges of values along the continuum of possible values that the random variable might take on. |
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d. |
All of the above. |
The distribution of heights of adult males has a mean of 69 inches and a standard...
Suppose the heights of males on campus are normally distributed with a mean of 69 inches and standard deviation of 2.5 inches. You plan to choose a random sample of 14 males from the studer directory a. What is the probability the mean height for your sample will be greater than 70.5 inches? b. The sample size you used was fairly small. Does this affect the validity of the probability you calculated in (a)? Explain fully!
1. The distribution of heights of adult men is Normal, with a mean of 69 inches and a standard deviation of 2 inches. Gary’s height has a z-score of 0.5 when compared to all adult men. Interpret what this z-score tells about how Gary’s height. A. Gary is one standard deviation above the mean. B. 68% of adult men are shorter than Gary. C. Gary is 70 inches tall. D. All of the above are correct answers. 2. The mean...
Chest circumferences of adult males are known to follow a Normal distribution with mean 40 inches and standard deviation 2.1 inches. Suppose we collect a random sample of 66 adult males. What is the probability that the average chest circumference of this group will be exactly 39.97 inches? Select one: a. We cannot answer this question with the information given. b. 0.9400 c. 0.8264 d. 0.1736 e. 0.0000
Chest circumferences of adult males are known to follow a Normal distribution with mean 40 inches and standard deviation 21 inches Suppose we collect a random sample of 78 adult males. What is the probability that the average chest circumference of this group will be exactly 40.03 inches? Select one: O a We cannot answer this question with the information given. O b. 0.8365 c. 0.0000 d. 0.9800 e. O 1635
The heights of adult American males are normally distributed with a mean of 70 inches, and a standard deviation of 3 inches. The average NBA player is 6’7”, or 79 inches tall(3 standard deviations above the mean). If you select 1000 adult American males at random, how many of them would you expect to be taller than an average NBA-er?
The heights (in inches) of 30 adult males are listed below 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 Create a frequency distribution using for classes and answer the following: a) Find the midpoint of each class, and calculate the mean of frequency distribution b) Find the standard deviation of the frequency distribution c) Create a box and...
Suppose that population distribution of the variable ”waist size of adult American males in inches” is µ = 33 and σ = 3 and approximately. What is the probability of encountering a man with a waist size smaller than 28 inches? What is the probability of encountering a group of 5 men with a sample average of less than 32?
(1 point) The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches Use what you know about a normal distribution and the 68-95-99.7 rule to answer the following NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT" (without the quotes). If your answer is in inches, such as 10 inches, enter: "10 INCHES" (without the quotes and with a space between the number...
3. The heights of all adults in a large city have an approximately normal distribution with a mean of 68 inches and a standard deviation of 4 inches. a) Find the probability that a randomly chosen height is less than 66 inches. b) Write the sampling distribution of sample mean for any sample size. Find the probability that the mean height of a random sample of 100 adults would be between 67.5 inches and 69 inches.
Suppose the heights of adult males in a population have a normal distribution with mean µ = 71 inches and standard deviation σ = 3 inches. Two unrelated men will be randomly sampled. Let X = height of the first man and Y = height of the second man. (a) Consider D = X − Y , the difference between the heights of the two men. What type of distribution will the variable D have? (b) What is the mean...