Question

The following data are believed to have come from a normal distribution. Use the goodness of fit test and = .05 to test this claim. Use Table 12.4.

18 | 23 | 21 | 24 | 18 | 22 | 18 | 22 | 19 | 13 | 10 | 20 | 17 | 20 | 20 |

20 | 17 | 14 | 24 | 23 | 22 | 43 | 28 | 27 | 26 | 29 | 28 | 33 | 22 | 28 |

Using six classes, calculate the value of the test statistic (to 2 decimals).______

The p value is ? _________

Conclusion? Cannot reject assumption that the data comes from a normal distribution. - or -The data does not come from normal distribution.

Answer #1

Chi-Square test for a normal distribution.
The South Bend Station of the South Shore Railroad is having
financial difficulties. The daily number of riders is believed to
be normally distributed and the Railroad needs to know the
distribution for scheduling. A sample of the number of riders for a
30 day period resulted in a sample mean of 24.5 and the sample
standard deviation was 3. The actual data for the 30 day period is
given below. Does it fit...

You are provided with the following dataset. Come up with a
research question and make a prediction (hypothesis). Label each of
x and y with an appropriate variable name relevant to your
hypothesis. If you want, you can add a new variable to the data
such as gender, age, etc, to make your hypothesis interesting
however it's not mendatory and it won't lead to additional credits.
Use SPSS to perform the following.
Clearly state your hypothesis.
What is the shape...

Consider the following data:
25
24
18
20
21
18
16
20
23
17
15
13
19
23
24
20
16
26
21
24
15
22
16
12
20
23
19
26
20
25
21
19
21
25
23
26
21
19
20
14
(a)
Develop a frequency distribution
using classes of 12-14, 15-17, 18-20, 21-23, and 24-26.
Class
Frequency
12-14
15-17
18-20
21-23
24-26
Total
(b)
Develop a relative frequency
distribution and a percent frequency distribution using the classes...

So, I am trying to perform a goodness of fit test on a set of
data. The data consists of one thousand samples with values that
range between 3.9 to 15.5. In the problem it is stated that this
data could have either a gamma or normal distribution and I am
meant to figure out which of these distributions it is closer to
due to the results of two goodness of fit tests (one assuming gamma
distribution and the other...

Data on the number of occurrences per time period and observed
frequencies follow. Use α = .05 to perform the goodness of fit test
to see whether the data fit a Poisson distribution. Calculate the
the value of test statistic. Use the "Number of Occurences" as the
categories.
Number of occurrences
numbers
of frequency
0
39
1
30
2
30
3
18
4
3
a) 8.334
b) 1.30
c) 3.142
d)...

1.
The test statistic for goodness of fit has a chi-square
distribution with k - 1 degrees of freedom provided that
the expected frequencies for all categories are
a.
k or more.
b.
10 or more.
c.
5 or more.
d.
2k.
2. The owner of a car wash wants to see if the arrival rate of
cars follows a Poisson distribution. In order to test the
assumption of a Poisson distribution, a random sample of 150
ten-minute intervals was...

Create a frequency distribution for the given data starting at
15 with a class width of 4 and then answer the following
questions:
ACT Scores
18 23 24 31 19
27 26 22 32 18
35 27 29 24 20
18 17 21 25 26
a. Number of classes is BLANK-1.
b. Lower class limit of the 3rd class is
BLANK-2 and the upper class limit of the 3rd class
is BLANK-3.
c. The mid point of the 4th class...

Test the following hypotheses by using the χ 2
goodness of fit test.
H 0:
p A = 0.2, p B = 0.4,
and p C = 0.4
Ha:
The population proportions are not
p A = 0.2 , p B = 0.4 ,
and p C = 0.4
A sample of size 200 yielded 40 in category A, 120 in category
B, and 40 in category C. Use = .01 and test to see
whether the proportions are as stated...

Calculate d and sd for the paired
data given below. Assume the two samples are dependent samples of
paired data, and assume the population distribution of the paired
differences are approximately normal. Don’t round. (1 point)
Group A
18
23
24
19
17
22
18
16
20
Group B
24
23
23
19
20
21
23
19
23

For the following data set, put the data into a frequency
distribution table, starting at 10 with a row width of 5. Then put
the data from the frequency distribution table into a histogram.
Label the axis with midpoint markers.
12, 16, 32, 24, 18, 30, 19, 26, 25, 35, 17, 20, 23, 23, 30

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