# 0.2 Practice tests (1-4) and final exams  (Page 34/36)

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14 . c. Iris

15 . c. Student's t

16 . b. is left-tailed.

17 . c. cluster sampling

18 . b. median

19 . a. the probability that an outcome of the data will happen purely by chance when the null hypothesis is true.

20 . d. stratified

21 . b. 25

22 . c. 4

23 . a. (1.85, 2.32)

24 . c. Both above are correct.

25 . c. 5.8

26 . c. 0.6321

27 . a. 0.8413

28 . a. (0.6030, 0.7954)

29 . a. $N\left(145,\frac{14}{\sqrt{10}}\right)$

30 . d. 3.66

31 . b. 5.1

32 . a. 13.46

33 . b. There is a strong linear pattern. Therefore, it is most likely a good model to be used.

34 . b. ${{\mathrm{Chi}}^{2}}_{3}$ .

35 . d. 70

36 . b. There is sufficient evidence to conclude that the choice of major and the gender of the student are not independent of each other.

37 . a. ${\mathrm{Chi}}^{2}$ goodness-of-fit

## Practice final exam 2

1 . A study was done to determine the proportion of teenagers that own a car. The population proportion of teenagers that own a car is the:

1. statistic.
2. parameter.
3. population.
4. variable.

Use the following information to answer the next two exercises:

value frequency
0 1
1 4
2 7
3 9
6 4

2 . The box plot for the data is:

3 . If six were added to each value of the data in the table, the 15 th percentile of the new list of values is:

1. six
2. one
3. seven
4. eight

Use the following information to answer the next two exercises: Suppose that the probability of a drought in any independent year is 20%. Out of those years in which a drought occurs, the probability of water rationing is ten percent. However, in any year, the probability of water rationing is five percent.

4 . What is the probability of both a drought and water rationing occurring?

1. 0.05
2. 0.01
3. 0.02
4. 0.30

5 . Which of the following is true?

1. Drought and water rationing are independent events.
2. Drought and water rationing are mutually exclusive events.
3. None of the above

Use the following information to answer the next two exercises: Suppose that a survey yielded the following data:

Favorite pie
gender apple pumpkin pecan
female 40 10 30
male 20 30 10

6 . Suppose that one individual is randomly chosen. The probability that the person’s favorite pie is apple or the person is male is _____.

1. $\frac{40}{60}$
2. $\frac{60}{140}$
3. $\frac{120}{140}$
4. $\frac{100}{140}$

7 . Suppose H 0 is: Favorite pie and gender are independent. The p -value is ______.

1. ≈ 0
2. 1
3. 0.05
4. cannot be determined

Use the following information to answer the next two exercises: Let’s say that the probability that an adult watches the news at least once per week is 0.60. We randomly survey 14 people. Of interest is the number of people who watch the news at least once per week.

8 . Which of the following statements is FALSE?

1. X ~ B (14 0.60)
2. The values for x are: {1 ,2 ,3 ,... ,14}.
3. μ = 8.4
4. P ( X = 5) = 0.0408

9 . Find the probability that at least six adults watch the news at least once per week.

1. $\frac{6}{14}$
2. 0.8499
3. 0.9417
4. 0.6429

10 . The following histogram is most likely to be a result of sampling from which distribution?

1. chi-square with df = 6
2. exponential
3. uniform
4. binomial

11 . The ages of campus day and evening students is known to be normally distributed. A sample of six campus day and evening students reported their ages (in years) as: {18, 35, 27, 45, 20, 20}. What is the error bound for the 90% confidence interval of the true average age?

1. 11.2
2. 22.3
3. 17.5
4. 8.7

Write a short note on skewness
and on kurtosis too
Hiren
What is events
who is a strong man?
Can you sir plz provide all the multiple choice questions related to Index numbers.?
about probabilty i have some questions and i want the solution
What is hypothesis?
its a scientific guess
ted
A hypothesis in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon. In a scientific experiment or study, the hypothesis is a brief summation of the researcher's prediction of the study's findings.
Hamzah
Which may be supported or not by the outcome. Hypothesis testing is the core of the scientific method.
Hamzah
statistics means interpretation analysis and representation of numerical data
Ramzan
To check the statment or assumption about population parameter is xalled hypothesis
Ali
hypothesis is simply an assumption
Patrick
what is the d.f we know that how to find but basically my question is what is the d.f? any concept please
Degrees of freedom aren’t easy to explain. They come up in many different contexts in statistics—some advanced and complicated. In mathematics, they're technically defined as the dimension of the domain of a random vector.
Hamzah
d.f >> Degrees of freedom aren’t easy to explain. They come up in many different contexts in statistics—some advanced and complicated. In mathematics, they're technically defined as the dimension of the domain of a random vector.
Hamzah
But we won't get into that. Because degrees of freedom are generally not something you needto understand to perform a statistical analysis—unless you’re a research statistician, or someone studying statistical theory.
Hamzah
And yet, enquiring minds want to know. So for the adventurous and the curious, here are some examples that provide a basic gist of their meaning in statistics.
Hamzah
The Freedom to Vary First, forget about statistics. Imagine you’re a fun-loving person who loves to wear hats. You couldn't care less what a degree of freedom is. You believe that variety is the spice of life Unfortunately, you have constraints. You have only 7 hats. Yet you want to wear a different
Hamzah
hat every day of the week. On the first day, you can wear any of the 7 hats. On the second day, you can choose from the 6 remaining hats, on day 3 you can choose from 5 hats, and so on.
Hamzah
When day 6 rolls around, you still have a choice between 2 hats that you haven’t worn yet that week. But after you choose your hat for day 6, you have no choice for the hat that you wear on Day 7. You must wear the one remaining hat. You had 7-1 = 6 days of “hat” freedom—in which the hat you wore
Hamzah
That’s kind of the idea behind degrees of freedom in statistics. Degrees of freedom are often broadly defined as the number of "observations" (pieces of information) in the data that are free to vary when estimating statistical parameters.
Hamzah
binomial distribution and poisson both are used to estimate the number of successes probable against the. probable failures. the difference is only that BINOMIAL dist. is for discrete data while POISSON is used for continuous data.
Salman
What do you need to understand?
Angela
The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution
Hamzah
poisson distribution is also for discrete data set. The difference is when the probability of occurring an event is very little and the sample size is extra large then we use poisson distribution.
Neil
Neil yes you got it and very interested answer you gave
jamilu
How to know if the statement is 1 tail or 2 tail?
1 tail if greater than pr less than.2 tail if not equal.
Jojo
in such a case there is no sufficient information provided to develop an alternative hypothesis and we can decide between only two states i.e either the statement is EQUAL TO or NOT EQUAL TO under given conditions
Salman
for 1tail there must be certain criteria like the greater than or less than or some probability value that must be achieved to accept or reject the original hypothesis.
Salman
for example if we have null hypothesis Ho:u=25 Ha:u#25(not equal to 25) it would be two tail if we say Ho:u=25 Ha:u>or Ha:u<25 it would be consider as one tail I hope you will be understand #Coleen
Shabir
yes its true. now you have another problem. so share.
ibrar
what is z score
How to find z score through calculator
Esperanza
Different data sets will have different means and standard deviations, so values from one set cannot always be compared directly with those from another. The z-score standardizes normally distributed data sets, allowing for a proper comparison and a consistent definition of percentiles across data s
Hamzah
what are random number
how to compute the mean with a long method
there is a shortcut method for calculating mean long methid doesn't make any sense.
Neil
what are probability
Saif
probability mass function
Saif
probability density function
Saif
there are many definitions of probability. which one is, the ratio of favourable outcomes & total outcomes.
suhail
distribution used for modeling/(find probabilities) of discrete r.v. is called p.m.f
suhail
distribution used for modeling/(find probabilities) of continued r.v, called p.d.f
suhail
lets use short method using calculator.... store yo data n smply get your mean
Flavian
if 1 calorie =4.12 kj, what is the total kj value of this dish
summation of values of x1 x2 x3 ,,,,xn divided by total number n if it is with frequency its like this summation of values of x1f1+x2f2+x3f3+xnfk divided by summation of frequencies like f1+f2+f3+fk
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