A
B
C
8
24
19
12
16
28
22
22
24
15
14
31
18
20
19
9
32
Test at the 5% level of significance to see if the means are all
the same.
1. What is the null and alternate hypotheses?
2. What is the p-value?
3. Decide if you reject or accept (fail to reject) your null
hypothesis.
4. Decide if you reject or accept (fail to reject) your
claim.
22 17
19 10
30 10.5
31 11
32 15
45 6
48 11
49 5.2
68 3
65 4.2
a) Create a scatterplot of this data and comment on the
relationship between the variables
b) Calculate the correlation coefficient between these two
variables
c) Does a linear relationship exist?
d) Calculate the least squares regression equation
e) Using your equation, predict how long we would expect a 43 year
old new hire to remain with the company
Consider the following set of data.
(18, 14), (28, 45), (60, 33), (81, 24), (106, 56), (122,
6)
(a) Calculate the covariance of the set of data. (Give your
answer correct to two decimal places.)
(b) Calculate the standard deviation of the six x-values
and the standard deviation of the six y-values.
(Give your answers correct to three decimal
places.)
Sx =
Sy =
(c) Calculate r, the coefficient of linear correlation,
for the data in part (a). (Give your...
42, 31, 48, 12, 21, 17, 27, 22, 35, 19, 17
Let's include one more data point in the data set. Suppose this
new data value lies between the values 12 and 48, inclusively.
Find the smallest possible value of the median of the new data
set
Find the largest possible value of the median of the new data
set
17, 18, 18, 18, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22,
22, 22, 22, 23,23,
24,24,24,24,24,24,24,24,25,26,26,26,26,26,26,27,27,27,27,27,28,28,29,31,31,32,32,34,35,38
use the data to do the following: 1. sample mean 2. median 3. mode
4. standard deviation
Given the following numbers: 25 16 61 18 15 20 15 20
24 17 19 28, derive the mean, median, mode, variance, standard
deviation, skewness, kurtosis, range, minimum, maximum, sum, and
count. Interpret your results. What is the empirical rule for two
standard deviations of the data?
Given the following numbers: 25 16 61 18 15 20 15 20 24 17 19
28, derive the mean, median, mode, variance, standard deviation,
skewness, kurtosis, range, minimum, maximum, sum, and count.
Interpret your results. What is the empirical rule for two standard
deviations of the data?
For the stress data given below with the nearest error of 1:
27-17-11-24-36-13-29-22-18
23-30-12-46-17-32-48-11-18
18-32-26-24-38-24-15-13-13
18-21-27-20-16-15-37-19-19
a) Construct a frequency distribution table.
b) Construct the three types of statistical graphs.
c) Determine the (1) Mean, (2) Median, (3) Mode, (4) Range,
Variance, and (6) Standard Deviation.
Consider the following two variables:
x
y
45
10
23
30
17
48
19
45
41
34
13
27
39
26
37
31
24
38
12
44
What is the correlation between these two variables? Use
Pearson's r, and take your answer to two decimal places.
To what two-tailed critical value of Pearson's r would you
compare this? Use the provided tables, assume alpha, = 0.05, and
express your answer as an absolute value. Round to two decimal
places.
If...