Constructing Data Sets. Construct a data set that has the given statistics. N=8 mu=6 and sigma=3
Math Elementary Statistics
Constructing Data Sets. Construct a data set that has the given statistics. N=8 mu=6 and sigma=3...
Mu=30.15 sigma=.094 xbar=30.26 S=.085 N=4 A. Given these statistics, does the data indicate the presence of a systematic error at the 95% CI level? B. Would the data indicate presence of a systematic error at 95% CI if no pooled value for s had been available?
1. X ~ N(mu = 3,sigma=10) Y=2X+4 E(Y) = ? 2. X ~ N(mu = 3,sigma=10) Y=2X+4 V(Y) = ? 3. If X and Y are independent then E(XY) =E(X)*E(Y) True or False? 4. If Cov(X,Y) = 0 then X and Y are independent True or False? 5. If Y_1 ~ N( 1, sigma =2) and Y_2 ~ N(-2, sigma^2 = 16) and Y_1 is independent of Y_2. If l = 2Y_1 - 3Y_2 find E(l) 6. If Y_1 ~...
Control Chart Question 1 Given the following sets of data, construct an appropriate control chart and recommend suitable control limits for future data. 1st Data Set Fraction non- #of defectives conforming # np d 1 10 2 8 3 12 4 5 10 6 11 7 9 10 12 10 11 11 31 12 32 13 10 14 8 15 12 16 10 17 11 18 9 19 10 20 8 sample size, n 300 =
A population has a mean mu= 72 and a standard deviation sigma= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36.
1) Suppose you have a normal distribution with known mu = 11 and sigma = 6. N(11,6). Using the 68,95,99.7 rule, what is the approximate probability that a value drawn from this distribution will be: a. Between 5 and 17? b. Between -1 and 23? c. Greater than 16? d. Less than -1? e. Less than 23? 2) Suppose you have a normal distribution with known mu = 8 and sigma = 2. N(8,2). Compute the Z---score for: a. X...
Consider the following two sample data sets. Set 1: 6 39 8 7 0 Set 2: 2 16 18 7 4 a. Calculate the coefficient of variation for each data set. b. Which data set has more variability? a. The coefficient of variation for set 1 is %. (Round to one decimal place as needed.)
Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer the following questions about the sampling distribution of the mean if the sample size is 100. 1. The sampling distribution of X bar is (blank) distributed with mu X bar = (blank) and sigma X bar = (blank). (fill in the blanks) 2. Suppose a random sample is chosen. what is the probability that this selected sample mean is less than 14.2? 3. What...
Consider two data sets. Set A: n = 5; x = 4 Set B: n = 50; x = 4 (a) Suppose the number 14 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 14 to x of the original data set and divide by 6. (Round your answer to two decimal places.) (b) Suppose the number 14 is...
Construct a frequency distribution for the given data set using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which dass has the greatest frequency and which has the least frequency? Amount (in dollars) spent on books for a semester 414 449 495 435 333 511 262 463 264 78 217 322 240369 2880 474 382 163 40479 340 70 259 241 75 176 331 279 54 Complete the table, starting with the lowest dass limit. Use the minimum...
6. Applying a statistical point estimate method and given the following data: Xbar=13.75mm, s=1.5mm, n=30. You estimate the population mean to equal: 7. The mean of a variable data set from a population is designated by: a) X bar, b) Greek letter Mu, c) Greek letter Sigma, d) s 8. In hypothesis testing- When alpha is defined as 0.2 the CI would be classified as this percentage: 9: Given the following sample data estimate: s=4, Xbar=10, Number of samples=100, Normally...