Question

Consider a sample with six observations of 11, 6, 9, 15, 15,16
and calculate z score. Consider another sample with 10 observations
of 15, –1, 7, 0, 1, 13, 3, 9, 14, and –3. Use *z*-scores to
determine if there are any outliers in the data; assume a
bell-shaped distribution.

What can be said about the 2 data sets

Answer #1

### By using Excel:

X | X-Xbar | Z=(X-Xbar)/sd | Y | Y-Ybar | Z=(Y=Ybar)/sd | ||

11 | -1 | -0.25 | 15 | 9.2 | 1.37 | ||

6 | -6 | -1.5 | -1 | -6.8 | -1.01 | ||

9 | -3 | -0.75 | 7 | 1.2 | 0.18 | ||

15 | 3 | 0.75 | 0 | -5.8 | -0.87 | ||

15 | 3 | 0.75 | 1 | -4.8 | -0.72 | ||

16 | 4 | 1 | 13 | 7.2 | 1.07 | ||

Total | 72 | 3 | -2.8 | -0.42 | |||

9 | 3.2 | 0.48 | |||||

xbar | 12 | 14 | 8.2 | 1.22 | |||

sd | 4 | -3 | -8.8 | -1.31 | |||

Total | 58 | ||||||

Ybar | 5.8 | ||||||

sd | 6.7 |

using formula:

Xbar =Average()

sd= stdev()

The Z score values which are outside the range of -3 and 3 are considered as an outliers.

The Z score of X and Y does not contains any such values.

Therefore there is no outliers in the data.

From the two datat sets we find that the spread for the second data set is more than the first data set.

That mean the observations are more centered toward the mean.

Consider a sample with 10 observations of –1, 1, 0, 14, –2, 11,
9, 12, 5, and 2. Use z-scores to determine if there are
any outliers in the data; assume a bell-shaped distribution.
(Round your answers to 2 decimal places. Negative values
should be indicated by a minus sign.)
The z-score for the smallest observation
The z-score for the largest observation
There are [outliers/no outliers] in the data. (Choose correct
answer).

Consider a sample with 10 observations of –5, 10, 1, 2, 2, 1, 7,
–5, 13, and 12. Use z-scores to determine if there are any
outliers in the data; assume a bell-shaped distribution.
(Round your answers to 2 decimal places. Negative values
should be indicated by a minus sign.)
Find:
Z-score for the smallest observation -
Z-score for the largest observation -
There are ______ in the data -

Consider the following sample data.
9
13
6
4
5
19
Calculate the z-score for the following values.
a. 12
b. 10
c. 11
d. 4
a. The z-score for
12
is
nothing
.
(Round to two decimal places as needed.)

Consider the following sample data.
6
3
19
9
5
12
Calculate the z-score for the following values.
a. 4
b. 18
c. 15
d. 19
(Round to two decimal places as needed.)

The following are six observations collected from treatment 1,
four observations collected from treatment 2, and five observations
collected from treatment 3. Test the hypothesis at the 0.05.
significance level that the treatment means are equal. questions:
1. What is the sample size n? 2.What is the number of treatment K?
3. what is the degrees of freedom for the treatments? 4. what is
the degrees of freedom for the error? 5. at a 0.05 level of
significance, what is...

Women (ages 18 to 25) heights
Data Collection
Height
(ft.)
1
5.0
2
5.4
3
5.4
4
5.5
5
4.11
6
5.8
7
5.1
8
5.3
9
5.4
10
5.5
11
5.7
12
5.8
13
5.10
14
5.7
15
6.3
7) Plot the second bell curve below:
8) What is the data value associated with a z-score of 2?
___________________________
9) What is the data value associated with a z-score of -0.8
__________________________
10) What is the variance of this...

Consider a sample with six observations of 25, 21, 13, 22, 20,
and 19. Compute the z-score for each observation. (Leave no cells
blank - be certain to enter "0" wherever required. Round your
answers to 2 decimal places. Negative values should be indicated by
a minus sign.)

Time spent indoors (hours)
3
5
6
9
10
9
8
10
10
12
13
11
16
11
7
8
18
13
12
13
1.Can you calculate z-scores for each of the raw scores above?
If so, please calculate the z-score for a kid who reported spending
8 hours indoors.
2. if you transformed the variable “time spent indoors” from an
X-scale to a z-scale, what would be the new mean of the
distribution? What would be the new standard...

What is the Z score for items 9 and 11. Are they truly
abnormal?
Data
1
223
2
200
3
154
4
217
5
223
6
157
7
178
8
159
9
350
10
243
11
325
12
298

Consider the data:
X - 1 3 5 7
9 11 13 15
Y - 6 14 2 20 10 18 26 22
(c) Obtain the equation of the regression line for these data

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