L Finding Probability or Proportion of Given Sample Means Givena normal distribution with μ = 100...
1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard deviation ơ 20. [2] The mean of the sample means": and the standard deviation ơi of the sample means are respectively a. 98, 18 b. 100, 20 c. 100,5 d. impossible to determine (ii) [1] Approximately what is the probability that the sample mean is between 95 and 105? a. 0.6826 b. 0.1974 c. 0.5861 d. 0.9876 (ii) [1] what must be true regarding...
A population of values has a normal distribution with μ=134.3μ=134.3 and σ=62.4σ=62.4. You intend to draw a random sample of size n=137n=137.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=
Given a normal distribution with μ = 27 and σ = 25. If a random sample of size n = 72 is drawn, find P(27 ≤ x ≤ 29). Round to three decimal places.
A population of values has a normal distribution with μ=148 and σ=5.4. You intend to draw a random sample of size n=104. What is the mean of the distribution of sample means? μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=
What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...
Intelligence scores are distributed approximately normally with μ = 100 and σ = 15. In each part of this question, use two places after the decimal point for z scores and four places after the decimal point for proportions. For each part (except part e), include an appropriate sketch a) What proportion of intelligence scores is lower than 90? b) What proportion of means of random samples of 9 intelligence scores is lower than 90? c) What proportion of means...
Ch 7 # 2: please assist with finding the probability for b, A has been answered correctly. Thank you! A random sample is drawn from a population with mean μ = 51 and standard deviation σ = 4.3. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 12 and n = 38 normally distributed? Yes, both the sample means will have a normal distribution. No, both the...
A random sample is drawn from a normally distributed population with mean μ = 24 and standard deviation σ = 1.6. a. Are the sampling distribution of the sample mean with n = 32 and n = 63 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 32 will have a normal distribution. No, only the sample mean...
A population of values has a normal distribution with μ=205.6 and σ=32.6. A random sample of size n=122 is drawn. Find the probability that a single randomly selected value is less than 211.8. Round your answer to four decimal places. P(X<211.8)= Find the probability that a sample of size n=122 is randomly selected with a mean less than 211.8. Round your answer to four decimal places. P(M<211.8)=
A population of values has a normal distribution with μ=39.5 and σ=37.4. You intend to draw a random sample of size n=146. What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=