In: Statistics and Probability

**In an influenza outbreak, you learn that in a factory 13 of 52 men workers were ill. 25 of 52 women workers were ill. Using a hand-calculated chi-square test, determine whether the difference between men and women in illness attack rate is significant. Show your work and answer here.**

let us consider the null and alternative hypothesis is

Ho:t**he difference between men and women in illness
attack rate is not significant**

Ha: t**he difference between men and women in illness
attack rate is significant**

Chi-Square
Test |
||||||

Observed
Frequencies(O) |
||||||

Attack
rate |
Calculations | |||||

Gender |
ill |
not ill |
Total |
fo-fe | ||

Men |
13 |
39 |
52 |
-6 | 6 | |

Women |
25 |
27 |
52 |
6 | -6 | |

Total |
38 |
66 |
104 |
|||

Expected Frequencies€ | ||||||

Attack rate | ||||||

Gender | ill | not ill | Total | (fo-fe)2/fe | ||

Men | = = 19 | = =33 | 52 | 1.894737 | 1.090909 | |

Women | =19 | =33 | 52 | 1.894737 | 1.090909 | |

Total | 38 | 66 | 104 | |||

Data |
||||||

Level of
Significance |
0.05 |
|||||

Number of Rows | 2 | |||||

Number of Columns | 2 | |||||

Degrees of Freedom | 1 | |||||

Results |
||||||

Critical
Value |
3.841459 |
|||||

Chi-Square Test
Statistic |
5.971292 |
|||||

p-Value |
0.014541 |
|||||

Reject the null
hypothesis |

Since p value is 0.0145 which is less than 0.05 so we reject Ho
and conclude that t**he difference between men and women in
illness attack rate is significant**

A random sample of 20 workers in a factory were asked to report
the age of their car and how many miles the vehicle had on it. A
computer printout resulted in the following information.
Variable
Coef
SE Coef
t-ratio
Prob
Constant
7288.54
6591
1.11
<0.2826
Age
11630.6
1249
9.31
<0.0001
R sq = 82%
R sq adj = 81.1%
s = 19280
Find the LSRL
A new worker starts next week and we know that his car is 7...

After the first three cases were culture confirmed, the
management at the factory requested that workers report any
symptoms of illness that they might have experienced during the
month of July. Of the 3155 employees, 74 reported gastrointestinal
symptoms (i.e., diarrhea) in July and stool samples were obtained
from these workers. Of the 74 workers who reported that they were
ill, 56 were culture-confirmed. Based on retrospective interviews,
the onset dates for diarrhea for these 56 workers were as
follows:...

You have a portfolio that is invested 13 percent in Stock A, 52
percent in Stock B, and 35 percent in Stock C. The betas of the
stocks are .82, 1.37, and 1.66, respectively. What is the beta of
the portfolio?

1.
what can you learn about the daily lives of anicenf men and women ?
2. what can your learn about the social classes that made up
anicent Greek society?

Due to the sudden outbreak of the pandemic, you were asked to
stay back in your home to maintain social distancing. If you do not
follow the restriction, there is a possibility that you infect
another 2.5 people, and on average, the government must incur $40
each person on their medical expenses. You realize that your
marginal cost of staying back home is MC= 10 + 5 Q, where Q is the
number of weeks you confine yourself in your...

13) Twenty-four workers were surveyed and asked how long it
takes them to travel to work each day. The data below are given in
minutes.
20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30
32 48
a) Construct a frequency distribution for the data with 4
classes.
b) Construct a histogram of the data.
c) Describe the distribution type.
d) Construct an ogive for the data.
e)...

1， Suppose you want to divide a 52 card deck into four hands
with 13 cards each. What is the probability that each hand has a
king?
2. Suppose that X ∼ Bin(n, 0.5). Find the
probability mass function of Y =2X, E(Y) , and D(Y).

You decide to invest in a portfolio consisting of 13 percent
Stock X, 52 percent Stock Y, and the remainder in Stock Z. Based on
the following information, what is the standard deviation of your
portfolio?
State of Economy
Probability of State
Return if State Occurs
of Economy
Stock X
Stock Y
Stock Z
Normal
.75
10.60%
4.00%
13.00%
Boom
.25
17.90%
25.90%
17.40%
Multiple Choice
8.76%
3.61%
7.51%
6.01%
2.71%

You were running a business of electrical equipment in
your city. Since the outbreak of COVID
19, you have to shut down your business due to lockdown and
government instructions. These
days many businesses are under stress, but still some opportunities
are available. Traders selling
necessary goods are running their business successfully. Government
is supporting these
businesses so people can get all the necessary items.
Ramadhan has already started, and there is lot of demand for
essential goods. You are...

Free fatty acids (FFA) were measured in fasting blood sample of
13 non-insulin-dependent diabetic men and 10 non-diabetic men. The
results (in mmoI/L) were: Diabetic: 430 340 560 390 430 385 345 370
317 311 687 323 618 Non-diabetic: 445 265 493 265 410 274 296 219
286 250 a) Determine if the FFA is different for diabetic men and
non-diabetic men b) Write a brief summary of what the result
show.

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