# 0.2 Practice tests (1-4) and final exams  (Page 36/36)

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26 . In a survey of 80 males, 45 had played an organized sport growing up. Of the 70 females surveyed, 25 had played an organized sport growing up. We are interested in whether the proportion for males is higher than the proportion for females. The correct conclusion is that:

1. there is insufficient information to conclude that the proportion for males is the same as the proportion for females.
2. there is insufficient information to conclude that the proportion for males is not the same as the proportion for females.
3. there is sufficient evidence to conclude that the proportion for males is higher than the proportion for females.
4. not enough information to make a conclusion.

27 . From past experience, a statistics teacher has found that the average score on a midterm is 81 with a standard deviation of 5.2. This term, a class of 49 students had a standard deviation of 5 on the midterm. Do the data indicate that we should reject the teacher’s claim that the standard deviation is 5.2? Use α = 0.05.

1. Yes
2. No
3. Not enough information given to solve the problem

28 . Three loading machines are being compared. Ten samples were taken for each machine. Machine I took an average of 31 minutes to load packages with a standard deviation of two minutes. Machine II took an average of 28 minutes to load packages with a standard deviation of 1.5 minutes. Machine III took an average of 29 minutes to load packages with a standard deviation of one minute. Find the p -value when testing that the average loading times are the same.

1. p -value is close to zero
2. p -value is close to one
3. not enough information given to solve the problem

Use the following information to answer the next three exercises: A corporation has offices in different parts of the country. It has gathered the following information concerning the number of bathrooms and the number of employees at seven sites:

 Number of employees x 650 730 810 900 102 107 1150 Number of bathrooms y 40 50 54 61 82 110 121

29 . Is the correlation between the number of employees and the number of bathrooms significant?

1. Yes
2. No
3. Not enough information to answer question

30 . The linear regression equation is:

1. ŷ = 0.0094 − 79.96 x
2. ŷ = 79.96 + 0.0094 x
3. ŷ = 79.96 − 0.0094 x
4. ŷ = − 0.0094 + 79.96 x

31 . If a site has 1,150 employees, approximately how many bathrooms should it have?

1. 69
2. 91
3. 91,954
4. We should not be estimating here.

32 . Suppose that a sample of size ten was collected, with $\overline{x}$ = 4.4 and s = 1.4. H 0 : σ 2 = 1.6 vs. H a : σ 2 ≠ 1.6. Which graph best describes the results of the test?

Sixty-four backpackers were asked the number of days since their latest backpacking trip. The number of days is given in [link] :

 # of days 1 2 3 4 5 6 7 8 Frequency 5 9 6 12 7 10 5 10

33 . Conduct an appropriate test to determine if the distribution is uniform.

1. The p -value is>0.10. There is insufficient information to conclude that the distribution is not uniform.
2. The p -value is<0.01. There is sufficient information to conclude the distribution is not uniform.
3. The p -value is between 0.01 and 0.10, but without alpha ( α ) there is not enough information
4. There is no such test that can be conducted.

34 . Which of the following statements is true when using one-way ANOVA?

1. The populations from which the samples are selected have different distributions.
2. The sample sizes are large.
3. The test is to determine if the different groups have the same means.
4. There is a correlation between the factors of the experiment.

## Solutions

1 . b. parameter.

2 . a.

3 . c. seven

4 . c. 0.02

5 . c. none of the above

6 . d. $\frac{100}{140}$

7 . a. ≈ 0

8 . b. The values for x are: {1, 2, 3,..., 14}

9 . c. 0.9417.

10 . d. binomial

11 . d. 8.7

12 . a. –1.96

13 . a. 0.6321

14 . d. 360

15 . b. $N\left(72,\frac{72}{\sqrt{50}}\right)$

16 . a. $\frac{3}{9}$

17 . d.

18 . b. 5.5

19 . d. 6.92

20 . a. 5

21 . b. 0.8541

22 . b. 0.2

23 . a. –1.

24 . c. matched pairs, dependent groups.

25 . d. Reject H 0 . There is sufficient evidence to conclude that there is a difference in the mean scores.

26 . c. there is sufficient evidence to conclude that the proportion for males is higher than the proportion for females.

27 . b. no

28 . b. p -value is close to 1.

29 . b. No

30 . c. $\stackrel{^}{y}$ = 79.96 x – 0.0094

31 . d. We should not be estimating here.

32 . a.

33 . a. The p -value is>0.10. There is insufficient information to conclude that the distribution is not uniform.

34 . c. The test is to determine if the different groups have the same means.

what is standard deviation?
It is the measure of the variation of certain values from the Mean (Center) of a frequency distribution of sample values for a particular Variable.
Dominic
Yeah....the simplest one
IRFAN
what is the number of x
10
Elicia
Javed Arif
Jawed
how will you know if a group of data set is a sample or population
population is the whole set and the sample is the subset of population.
umair
if the data set is drawn out of a larger set it is a sample and if it is itself the whole complete set it can be treated as population.
Bhavika
hello everyone if I have the data set which contains measurements of each part during 10 years, may I say that it's the population or it's still a sample because it doesn't contain my measurements in the future? thanks
Alexander
Pls I hv a problem on t test is there anyone who can help?
Peggy
Dominic
Bhavika is right
Dominic
what is the problem peggy?
Bhavika
hi
Sandeep
Hello
hi
Bhavika
hii Bhavika
Dar
Hi eny population has a special definition. if that data set had all of characteristics of definition, that is population. otherwise that is a sample
Hoshyar
three coins are tossed. find the probability of no head
three coins are tossed consecutively or what ?
umair
umair
or .125 is the probability of getting no head when 3 coins are tossed
umair
🤣🤣🤣
Simone
what is two tailed test
if the diameter will be greater than 3 cm then the bullet will not fit in the barrel of the gun so you are bothered for both the sides.
umair
in this test you are worried on both the ends
umair
lets say you are designing a bullet for thw gun od diameter equals 3cm.if the diameter of the bullet is less than 3 cm then you wont be able to shoot it
umair
In order to apply weddles rule for numerical integration what is minimum number of ordinates
excuse me?
Gabriel
why?
didn't understand the question though.
Gabriel
which question? ?
We have rules of numerical integration like Trapezoidal rule, Simpson's 1/3 and 3/8 rules, Boole's rule and Weddle rule for n =1,2,3,4 and 6 but for n=5?
John
geometric mean of two numbers 4 and 16 is:
10
umair
really
iphone
quartile deviation of 8 8 8 is:
iphone
sorry 8 is the geometric mean of 4,16
umair
quartile deviation of 8 8 8 is
iphone
can you please expalin the whole question ?
umair
mcq
iphone
h
iphone
can you please post the picture of that ?
umair
how
iphone
hello
John
10 now
John
how to find out the value
can you be more specific ?
umair
yes
KrishnaReddy
what is the difference between inferential and descriptive statistics
descriptive statistics gives you the result on the the data like you can calculate various things like variance,mean,median etc. however, inferential stats is involved in prediction of future trends using the previous stored data.
umair
if you need more help i am up for the help.
umair
Thanks a lot
Anjali
Inferential Statistics involves drawing conclusions on a population based on analysis of a sample. Descriptive statistics summarises or describes your current data as numerical calculations or graphs.
fred
my pleasure😊. Helping others offers me satisfaction 😊
umair
for poisson distribution mean............variance.
both are equal to mu
Faizan
mean=variance
Faizan
what is a variable
something that changes
Festus
why we only calculate 4 moment of mean? asked in papers.
why we only 4 moment of mean ? asked in BA exam
Faizan
Hello, can you please share the possible questions that are likely to be examined under the topic: regression and correlation analysis.
Refiloe
for normal distribution mean is 2 & variance is 4 find mu 4?
repeat quastion again
Yusuf
find mu 4. it can be wrong but want to prove how.
Faizan
for a normal distribution if mu 4 is 12 then find mu 3?
Question hi wrong ha
Tahir
ye BA mcqs me aya he teen he. 2dafa aya he
Faizan
if X is normally distributed. (n,b). then its mean deviation is?
Faizan
The answer is zero, because all odd ordered central moments of a normal distribution are Zero.
nikita
which question is zero
Faizan
sorry it is (5,16) in place of (n,b)
Faizan
I got. thanks. it is zero.
Faizan
a random variable having binomial distribution is?
Bokaho