STAT101

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STAT101 Mastery Quiz

Test your knowledge and understanding in the fundamental concepts of statistics with our engaging STAT101 Mastery Quiz! Whether you're a student wanting to check your learning progress or a teacher looking to evaluate your students, this quiz covers a wide range of topics relevant to introductory statistics.

Get ready to tackle challenging questions that will assess your comprehension of:

Hypothesis Testing
Confidence Intervals
ANOVA
Regression Analysis
Probability Distributions

30 Questions8 MinutesCreated by CalculatingWizard472

Choose the correct answer for the following question: Common colds are typically caused by a rhinovirus. In a test of effectiveness of Echinacea, some test subj ects were treated with Echinacea extracted with 20% ethanol, some were treated with Echinacea extracted with 60% ethanol, and others were given a placebo. All of the test subjects were then exposed to rhinovirus. Results are summarized in Table given below:

The expected frequency corresponding to the observed frequency 85 is:

Listed below is a sample of the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. What is the standard deviation of this data (rounded to 2 decimals)?

17, 32, 12, 19

A. 72.67 months

B. 7.38 months

C. 54.5 months

D. 8.52 months

Choose the correct answer for the following question: If SS(Total)= 100 and SS(error)=25 then the value of SS(Treatment) in one way ANOVA is:

125

0.25

Choose the correct answer for the following question: In testing a claim that the three different samples have the same mean, following sample results have been obtained:

If the variance within the samples I.e.(Sp)2 = 3 (given), then the missing value of (s1)2 is

Choose the correct answer for the following question: Assuming that the population standard deviation is given as 6 = 3. The sample statistics are n=36 and X-= 20. Then, the resulting 90% confidence interval (Given that Za/2=1.64) for population mean p is:

19.22 to 20.72

20.18 to 20.72

19.18 to 20.82

19.22 to 20.72

Choose the correct answer for the following question: The following frequency distribution analyzes the scores on a math test. The class boundaries of scores interval 50-59 are:

Scores No. Of students
50-59 2
60-69 6
70-79 8
80-89 10
90-99 4

50.5, 59.5

49.0, 60.0

49.5, 60.5

49.5, 59.5

Choose the correct answer for the following question:

You are given the following hypothesis test where O' is known:

HusH 20

H12 U¢20

The test statistic z = -1.75, and P(z < -1.75) = 0.0401. Then, P-value is

0.0802

0.9198

0.9599

0.0401

Choose the correct answer for the following question:

The following table contains data from a study of two airlines, which fly to Small Town, USA.

What is the probability that a randomly selected flight is late given that it is an Upstate Airlines flight?

3/7

7/69

3/38

3/69

Choose the correct answer for the following question: The null and the alternative hypothesis in the symbolic form for the claim: "The average grade in the final examination of statistics is at most 45." are:

HO: u = 45, H1: u <= 45

HO: u >= 45, H1: u > 45

HO: u = 45, H1: u < 45

HO: u = 45, H1: u > 45

Choose the correct answer for the following question: In a Binomial Distribution, if the number of trials, n= 16 and the probability of success, p= 1/4, then the standard deviation is

1.73

6.93

Choose the correct answer for the following question:

A fitted linear regression equation is y^ = 3 - 2x. If the observed value of y at x = 1 is 2.

What is the residual at this observation?

-1

Choose the correct answer for the following question: A science publishing company held free workshops about her services and platform for researchers in Middle East. The company supposes that the workshops will encourage the researchers to submit their researches on its platform. Hence, it collected statistics of the number of submitted papers from four randomly selected universities, one month before and after the workshops.

Supposing that all requirements are met, find the value of test statistic-t for matched pairs.

0.48

0.55

-0.5

Choose the correct answer for the following question: The confidence interval for estimating a population mean is found to be (20, 22), the sample mean ( X ) and the margin of error (E) are respectively

21 and 1

42 and 2

2 and 42

1 and 21

Choose the correct answer for the following question: If the regression equation of y on x is given by 6x -3y +12 = 0, then the slope of this line is equal to

Choose the correct answer for the following question: Given a collection of paired data, find the regression equation between Y and X, given that r : 0.9, SY =10, Sx =15, Y = 50, X = 80-

Choose the correct answer for the following question: The corresponding degree of freedom for Chi-square test of independence for is 4 X 5 contingency table

Choose the correct answer for the following question: The Basic Science department wants to study the diffe fence in STAT101 performers within two consecutive semesters. The results from the study of randomly selected performers are given below:

The department wants to test the following hypotheses: H0: P1 = P2, H1: P1 < P2

Suppose that all the requirements are met. What is the pooled sample proportion for this data?

0.895

0.875

0.855

0.05

Choose the correct answer for the following question: In ANOVA, if we are comparing k=5 groups of the same size n=5 and SS(Error) is given as 80, then MS(Error) is equal to

Choose the correct answer for the following question:

You are given the following hypothesis test:

H0: p=0.5

H1: p != 0.5

The calculated test statistic z = -1.8, and the critical value of z = +1.97. Then, the decision would be to :

Reject H0 since z < 1.97

Reject H0 since -1.97 < z < 1.97

Fail to reject H0 since -1.97 < z < 1.97

Fail to reject H0 since z < -1.97

Choose the correct answer for the following question: A company believes that it controls at least 40% of the total market share for one of its products. A simple random sample of 100 purchases of this product is selected and it is found that the sample proportion is 0.55. The test statistic would be

30.62

-3.01

3.06

0.22

State whether the following statement is True or False: The regression equation between the sales (Y) of a company and the amount it spent on advertising (X) is expressed by the following: V : $11,217 + 0.205X. If the company spends $5,000 on advertising, then the predicted sales will be $16,217.

True

False

State whether the following statement is True or False: If 200 households were surveyed out of which 180 households have cable TV, the sample proportion of households with cable TV is 0.09.

True

False

State whether the following statement is True or False : One-Way Analysis of Variance is used for tests of hypothesis that three or more population means are all equal.

True

False

State whether the following statement is True or False : In goodness of fit test, if the number of different categories (k) =10, the number of trials (n) = 100, and H0:,01 = ,O2 = = I010 = 1 /10 , then expected frequency for each cell is 10.

True

False

State whether the following statement is True or False : The degree of freedom of t-test for an unpaired samples (where 01 & 62 are unknown and not assumed to be equal) with sample sizes Ill: 45 and 112: 35 is equal to 34.

True

False

State whether the following statement is True or False : Assume that the thermometer readings are normally distributed with a mean of 00C and a standard deviation of 10C for freezing water. If one thermometer is randomly selected, then the probability that it reads (at the freezing point of water) greater than -1.92 degrees is 0.0264. (Hint: P(z<1.92)= 0.9726).

True

False

State whether the following statement is True or False : You are given the following hypothesis test: H0: p 0.4 H12 p¢0.4 If P-value =0.1 and a=0.05, then the decision would be to reject H0-

True

False

State whether the following statement is True or False If P(A or B) = 0.6, P(A) : 0.4 and P(B) : 0.5, then P(A and B) : 0.1

True

False

State whether the following statement is True or False: The Mode of the distribution is 12, and the Mean is 6. It is most likely the distribution is Positively Skewed.

True

False

State whether the following statement is True or False
The relative frequency distribution below summarizes employee's years of service for Alpha
Corporation. If the total frequency is 200, then the frequency of the second class is 30.

True

False

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