Homework Answers
Ans: yes, and the calculated probability would be exact.
Since the sample of of normal distribution also follows normal distribution. Here mean ~N(50, 5/√60). So we can calculate the probability that sample mean lies between 45 and 60.
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Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
Question 3 (0.5 points) A random variable X has a left-skewed distribution with mean of 50...
Question 3 (0.5 points) A random variable X has a left-skewed distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No.
Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population...
Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...
Suppose that a random variable X follows a distribution with mean 100 and variance 81. We...
Suppose that a random variable X follows a distribution with mean 100 and variance 81. We take a random sample of 240 observations and calculate x. What is the probability that we calculate a sample mean larger than 101?
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation...
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o...
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
The random variable X represents the roll of a 10-sided fair die
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Question 12 points Save Anawe From a previous report, the mean number of days for patients...
Question 12 points Save Anawe From a previous report, the mean number of days for patients waiting for bypass surgery is 18. 2 days with a standard deviation of approximately 10 days. The population distribution is skewed right positively skewed we drew a random sample of 22 pairs wating for bypass surgery, then would it be reasonable to say that the sampling distribution of a sample mean, X. will be proximately normal? Answerther yes or no A random sample of...
confirming my answer Question 11 (5 points) Saved The sampling distribution of the mean becomes approximately...
confirming my answer
Question 11 (5 points) Saved The sampling distribution of the mean becomes approximately normally distributed whern which of the following conditions is met? The standard deviation of the population is large. The sample size is large The population Distribution is not symmetric A single random sample is drawn from the population. Question 12 (10 points) Saved You select a sample of 100 and find a mean of 60 and a standard deviation of 12. What is the...
Suppose the time between buses at a particular stop is a positively skewed random variable with...
Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 59 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 38 times. The average of this sample, X , is a random variable that comes from a specific probability distribution. (a)Which of the following is true about the distribution of...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
Question 3 (0.5 points) A random variable X has a left-skewed distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No.
Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
Question 12 points Save Anawe From a previous report, the mean number of days for patients waiting for bypass surgery is 18. 2 days with a standard deviation of approximately 10 days. The population distribution is skewed right positively skewed we drew a random sample of 22 pairs wating for bypass surgery, then would it be reasonable to say that the sampling distribution of a sample mean, X. will be proximately normal? Answerther yes or no A random sample of...
confirming my answer
Question 11 (5 points) Saved The sampling distribution of the mean becomes approximately normally distributed whern which of the following conditions is met? The standard deviation of the population is large. The sample size is large The population Distribution is not symmetric A single random sample is drawn from the population. Question 12 (10 points) Saved You select a sample of 100 and find a mean of 60 and a standard deviation of 12. What is the...
Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 59 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 38 times. The average of this sample, X , is a random variable that comes from a specific probability distribution. (a)Which of the following is true about the distribution of...
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