For the population
0.5 2.1 4.4 1.0
compute each of the following.
a. The population mean μ.
b. The population variance σ^2.
c. The population standard deviation σ.
d. The z-score for every value in the population data set.
For the population 0.5 2.1 4.4 1.0 compute each of the following. a. The population mean...
4) A population has a mean of μ = 55 and a standard deviation of σ = 15. a) If 3 points were added to every score in the population, what would be the new values for the mean and standard deviation? b) If every score in the population were multiplied by 2, then what would be the new values for the mean and standard deviation?
Question 4 0.5 pts A data set has a mean of 44. In this data set, a raw score X-40 corresponds to the standardized score z-1. What is the standard deviation for this data set? Hint:take advantage of the formula for Z-score Question 5 0.5 pts A data set has a standard deviation of 2.5. In this data set, a raw score X-30 corresponds to the standardized score z = 1.30. What is the mean of this data set? Hint:take...
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...
For the population of N = 5 units of Exercise 3 of Chapter 2 (a) Compute directly the variance var (y) of the sample mean and the variance var( m ) of the sample median. (b) From each sample, compute the sample variance s 2 and the estimate var (y) of the variance of the sample mean. Show that the sample variance s 2 is unbiased for the √ finite-population variance σ 2 but that the sample standard deviation 2...
A population of N = 10 scores has a mean of μ = 24 with SS = 160, a variance of σ2 = 16, and a standard deviation of σ = 4. For this population, what is Σ(X − μ)? A. 0. B. 4. C. 16. D. 160
24. If the population mean is 0 and the population variance o, 1 (10 points) What is the P (z> 3) a. What is the P (z<2) b. What is the P (-1.5<z <3)? c. What is the P (-2.33cz < 1.25)? d. e. What is the P (-2.33<z and >1.25)? 25. If the population mean is 115 and the population variance σ, 100 (10 points) What is the P (z > 120) a. b. What is the P (2<150)?...
Question 2 2 marks A population is normally distributed with an unknown mean μ and unknown standard deviation σ. You collect a random sample of 24 measurements with sample mean7-55.9 and standard deviation-7.53. Use this information to answer the questions below (a) [0.5 mark] What is your 95% confidence İnterval for the population mean μ? (b) [1 mark] what is your best estimate for the population standard deviation σ? (c) [0.5 mark] If a fellow enginer tells you that the...
A sample set is as the following with a missing value χι。It is known that χ = 18 16 | 16 | 18 | 18 | 20 | 20 | 20 | 22 | 30 | 35 What is the missing data value of the data set? What is the median? What is the variance? What is the variance, if this is a population? Does it skew? (Right, Left, or Not) 7. 10. A po^ulation is listed as the followin...
A) How large a sample should be taken if the population mean is to be estimated with 99% confidence to within $82? The population has a standard deviation of $906. (Round your answer up to the next whole number.) B) Assume that z is the test statistic. (Give your answers correct to two decimal places.) (a) Calculate the value of z for Ho: μ = 51, σ = 4, n = 39, x = 48.6. (b) Calculate the value of...
A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the xbar sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 15 μ = σ = (b) n = 35 μ = σ = (c) n = 55 μ = σ = (d) n = 110 μ = σ = (e) n = 440...