Question

In a History with multiple (4) choice questions, a correct answer gives one point while there is a 1/4 of the point penalty for a wrong answer. Having no time to answer the last ten questions, a student decides to mark them randomly. What do you expect?

Select one:

a. He neither gains nor loses any points

b. He loses some points

c. He gains some points

d. Cannot be answered with the given information

If the mean of a Binomial distribution is 5, which is the most likely value for its standard deviation?

Select one:

a. 5

b. 3

c. 2

d. 2.5

The number of transactions per hour in an Automatic Teller Machine (ATM) follows the Poisson distribution with λ = 3.5. The probability of having more than three transactions in a given hour is:

Select one:

a. 0.3209

b. 0.4633

c. 0.5367

d. 0.6791

In a fairly symmetrically distributed set of observations some extremely large values (outliers) were added. Which of the following is most likely to happen to the enriched data set:

Select one:

a. The average will be greater than the median

b. The mode will be larger than before

c. The median will be smaller than the mode

d. The average will be less than the median

If the standard deviation of the observations is zero, we conclude that:

Select one:

a. The mean and the median are equal

b. The distribution of the data is symmetrical

c. All observations are equal

d. Half of the observations are positive and the other half of them are negativ

In an employee satisfaction survey in the hotel industry, 100 males and females who stated that they were likely to quit their job were asked to indicate three primary reasons for their unwillingness to stay: burnout, micromanagement and poor work culture. The following Table presents the resulting 2x3 contingency table.

Hotel managers would like to determine whether there is evidence of a significant relationship between the employee’s gender and the primary reason for quitting. Which of the following is accurate with respect to the degrees of freedom for this contingency table?

Select one:

a. 4

b. 3

c. 5

d. 2

It is known that for right-handed people, the dominant (right) hand tends to be stronger. For left-handed people who live in a world designed for right-handed people, the same may not be true. To test this, muscle strength was measured on the right and left hands of a random sample of 15 left-handed men and the difference (left - right) was found. The alternative hypothesis is one-sided (left hand stronger). The resulting test statistic was 1.80. The resulting test statistic, under the null hypothesis follows exactly

Select one:

a. The Bernoulli distribution with p = 0.5

b. The chi-square distribution with 30 degrees of freedom

c. The student distribution with 14 degrees of freedom

d. The student distribution with 28 degrees of freedom

In an employee satisfaction survey in the hotel industry, 100 males and females who stated that they were likely to quit their job were asked to indicate three primary reasons for their unwillingness to stay: burnout, micromanagement and poor work culture. The following Table presents the resulting 2x3 contingency table.

Which of the following is accurate with respect to the expected cell frequency for “females and burnout”?

Select one:

a. 14.85

b. 38.26

c. 25.76

d. 20.24

In an employee satisfaction survey in the hotel industry, 100 males and females who stated that they were likely to quit their job were asked to indicate three primary reasons for their unwillingness to stay: burnout, micromanagement and poor work culture. The following Table presents the resulting 2x3 contingency table.

A hotel manager claims that there is a relationship between the primary reason for quitting job and the gender. Which of the following is the most appropriate conclusion given that the computed chi-square test statistic is equal to 5.86 at the α=0.05 level of significance?

Select one:

a. We cannot tell from the information given

b. There is sufficient evidence to support the hotel manager’s claim.

c. There is a statistical significance between the sample and the population

d. There is not sufficient evidence to support the hotel manager’s claim.

A marketing research firm receives survey responses of “yes I will buy” or “no I will not”. Let π denote the proportion of positive answers and assume that you would like to test the null hypothesis that π = 0.3 versus the alternative hypothesis that π ≠ 0.3. Also assume now that the company selects information of a sample of 5 responses and rejects the null hypothesis if Y < 2, where Y is the number of positive answers. The probability of a Type I error then is

Select one:

a. 0.84

b. 0.53

c. 0.50

d. 0.19

Answer 1

Note: as per HomeworkLib rules, first question of multiple questions is also allowed to solve unless you asked for a specific question.So i have solved for Question(1). Question(1) :

Formulas: 1) Expected number of a binomial random variable X is = E(X) = np X = Number of questions gets correct out of 10. Given that The number of questions selected n= 10. There are 4 multiple choices for each question. The probability that a randomly selected question gets correct is p= = 0.25. X follows binomial distribution with n= 10 and p = 0.25.

Expected number of questions gets correct = E(X) = np = 10 * (0.25) = 2.5 Each correct answer gives you 1 point and wrong answer takes 0.25 points from you. Expected number of points you gain = 2.5 * 1 = 2.5 Expected number of points you loose = (10 – 2.5) * 0.25 = 1.875 Resultant points you gain from these 10 questions 2.5 – 1.875 = 0.625 :: He gains some points is the answer

thank you.