Question

(Q24-Q27) An insurance company has gathered the information regarding the number of accidents reported per day over a period of 100 days. The data can be found on the fourth sheet labeled “Accidents” in the “INFO1020 Final Exam DataFile.xlsx”. With the data, you are conducting a goodness-of-fit test to see whether the number of accidents per day can have a Poisson distribution. 24.What is the expected frequency of exactly 2 accidents per day? 25.What is the Chi-square test statistics? Round the value to 4 decimal places, e.g., round 0.25645 up to 0.2565, and round 0.25643 down to 0.2564. 26.What is the p-value? 27.At the 10% level of significance, what is the conclusion of this test? Data:Accidents per day Total Accidents 0 Total number of observations 0 average arrival rate(lambda) 0 0 0 1 Formulate hypotheses 1 Ho the population given by this data matches the poisson distribution 1 Ha the population given by this data does not match the poission 1 2 1 if p <= alpha then reject Ho, otherwise FTR Ho. 1 3 1 Calculation 1 Outcomes Expected Probability Expected Counts Observed Counts (Observed-Expected)^2/Expected 1 1 0 1 1 1 1 1 1 1 1 p-value 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5

Answer #1

(Q24-Q27) An insurance company has gathered the information
regarding the number of accidents reported per day over a period of
100 days. The data can be found on the fourth sheet labeled
“Accidents” in the “INFO1020 Final Exam DataFile.xlsx”. With the
data, you are conducting a goodness-of-fit test to see whether the
number of accidents per day can have a Poisson distribution.
24.What is the expected frequency of exactly 2 accidents per day?
25.What is the Chi-square test statistics? Round...

A civil engineer has been studying the frequency of vehicle
accidents on a certain stretch of interstate highway. Longterm
history indicates that there has been an average of 1.74 accidents
per day on this section of the interstate. Let r be a
random variable that represents number of accidents per day. Let
O represent the number of observed accidents per day based
on local highway patrol reports. A random sample of 90 days gave
the following information.
r
0
1...

The probability distribution of the number of accidents in North
York, Ontario, each day is given by
x
0
1
2
3
4
5
P(x)
0.20
0.15
0.25
0.15
0.20
0.05
a) Based on this distribution, what would be the expected number
of accidents on a given day?
A: 1.81
B: 1.47
C: 2.15
D: 4.62
b) Based on this distribution, what is the approximate value of
the standard deviation of the number of accidents per day?
A: 2.15
B:...

The following table contains the probability distribution for
the number of traffic accidents daily in a small town. Complete
parts (a) and (b) to the right.
Number of Accidents Daily (X)
P(X)
0
0.19
1
0.28
2
0.22
3
0.12
4
0.09
5
0.06
6
0.04
a. Compute the mean number of accidents per day.
μ =1.98 correct
b. Compute the standard deviation.
**** dont know the answer below****
σ =___________
Determine the mean and standard deviation of the variable...

The following table contains the probability distribution for
the number of traffic accidents daily in a small town. Complete
parts (a) and (b) to the right.
Number of accidents daily (x)
P(X)
0 0.30
1 0.37
2 0.16
3 0.07
4 0.05
5 0.04
6 0.01
a. Compute the mean number of accidents per
day.
b. Compute the standard deviation.

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)...

The following table contains the probability distribution for
the number of traffic accidents daily in a small town. Complete
parts (a) and (b) to the right.
Number of Accidents Daily (X)
P(X)
0
0.260
1
0.340
2
0.180
3
0.090
4
0.060
5
0.040
6
0.030
a. Compute the mean number of accidents per day.
μ=1.59
(Type an integer or a decimal.)
b. Compute the standard deviation.
σ=
(Type an integer or decimal rounded to three decimal places as
needed.)

Banner Mattress and Furniture Company wishes to study the number
of credit applications received per day for the last 300 days. The
sample information is reported below.
Number of Credit Applications
Frequency (Number of Days)
0
50
1
77
2
81
3
48
4
31
5 or more
13
To interpret, there were 50 days on which no credit applications
were received, 77 days on which only one application was received,
and so on. Would it be reasonable to conclude...

The National Highway Traffic Safety Administration reported the
percentage of traffic accidents occurring each day of the week.
Assume that a sample of 420 accidents provided the following
data.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
69
47
54
49
58
69
74
a. Conduct a hypothesis test to determine if
the proportion of traffic accidents is the same for each day of the
week. What is the p-value?
Compute the value of the X2 test statistic (to 3
decimals)....

Just do number 2.
1) A sample of 4131 births was observed, and the day of the week
on which each birth occurred was noted. These are the results
1
2
3
4
5
6
7
Mon
Tue
Wed
Thu
Fri
Sat
Sun
629
693
678
677
643
432
379
Test the null hypothesis that a person is equally likely to be
born on any day of the week. In other words that pi0 =
1/7,...

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