Business Statistics assignment 3

Question1

For a parameter whose value is unknown, belief or claim for that parameter is classified as_________.

Select one:

a.parameter claim testing

b.hypothesis testing

c.primary limit testing

d.expected belief testing

Question2

A recent survey amongst 240 randomly selected street vendors in Pretoria showed 84 of them felt that the local by-laws hampered their trading. Calculate the proportion of street vendors who felt that the local by-laws hampered their trading.

Select one:

a.2.85

b.0.33

c.0.35

d.0.84

Question3

Which of the following is not a requirement of a binomial distribution?

Select one:

a.A fixed number of trials

b.A constant probability of success.

c.Equally likely outcomes

d.Only two possible outcomes

Question4

Given = 130, Mean = 150, = 25 and n = 84, what test statistic is appropriate?

Select one:

a.F

b.Z

c.X

d.t

Question5

If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000, ________.

Select one:

a.a P-value test should be utilized

b.either a one-tailed or two-tailed test could be used with equivalent results

c.a two-tailed test should be utilized

d.a one-tailed test should be utilized

Question6

If sample size is greater than or equal to 30 then sample standard deviation can be approximated to population standard deviation for the___________.

Select one:

a.known standard deviation

b.unknown standard deviation

c.standard interval deviation

d.population interval theorem

Question7

When testing H: 0 versus 1 1 2 H: > 0, the observed value of the Z- score was found to be - 2.13. The p-value for this test would be_______.

Select one:

a.0.0166.

b.0.0332.

c.0.9668.

d.0.9834.

Question8

If = 0.01 for a one tailed test, how large is the area of rejection?

Select one:

a.0.05

b.0.025

c.0.005

d.0.01

Question9

We have created a 95% confidence interval for with the result (10, 15). What decision will we make if we test H0: =16 versus H1: 16 at a = 0.10?

Select one:

a.Reject H0 in favor of H1.

b.Fail to reject H0 in favor of H1.

c.We cannot tell what our decision will be from the information given.

d.Accept H0 in favor of H1.

Question10

A test of H0: = 0 versus Ha: > 0 is conducted on the same population independently by two different researchers. They both use the same sample size and the same value of = 0.05. Which of the following will be the same for both researchers?

Select one:

a.The _p-_value of the test.

b.The power of the test if the true = 6.

c.The decision about whether or not to reject the null hypothesis.

d.The value of the test statistic.

Question11

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Question text

A random sample of 25 college males was obtained and each was asked to report their actual height and what they wished as their ideal height. A 95% confidence interval for __d = average difference between their ideal and actual heights was 0.8" to 2.2". Based on this interval, which one of the null hypotheses below (versus a two-sided alternative) can be rejected?

Select one:

a.H0: d = 1.5

b.H0: d = 2.0

c.H0: d = 0.5

d.H0: d = 1.0

Question12

Which of the following is the most common example of a situation for which the main parameter of interest is a population proportion?

Select one:

a.A binomial experiment

b.An observational study

c.A randomized experiment

d.A normal experiment

Question13

In testing the hypotheses H0: = 75 vs. H1: < 75, if the value of the test statistic z equals 2.42, then the p-value is_____.

Select one:

a.2.4200

b.0.9922

c.0.0078

d.0.5078

Question14

Question text

An advertising company wants to test the hypothesis that the proportion of adults in Gauteng who read a Sunday magazine is 25%. The null hypothesis is that the proportion reading the Sunday magazine is________.

Select one:

a.different from 25%

b.less than 25%

c.equal to 25%

d.more than 25%

Question15

Assume the cholesterol levels in a certain population have mean = 200 and the standard deviation The cholesterol levels for a random sample of n = 9 individuals are measured and the sample mean is determined. What is the Z score for a sample mean = 180?

Select one:

a.-0.83

b.2.50

c.-2.50

d.-3.75

uestion16

The confidence interval is 0.35 < p < 0.45. The claimed value of p = 0.42. What is the decision?

Select one:

a.Support the alternative hypothesis

b.Reject the null hypothesis

c.Support the null hypothesis

d.Retain the null Hypothesis

Question17

The test statistic is z = 2.33, the critical values are z = +/- 1.96. The decision would be to______.

Select one:

a.Support the null hypothesis

b.Reject the null hypothesis

c.Retain the null hypothesis

d.Support the alternative hypothesis

Question18

In testing the hypotheses H0: = 50 vs. H1: 50, the following information is known: n = 64, x = 53.5, and s = 10. What does the standardized test statistic z equals to?

Select one:

a.1.96

b.1.96

c.2.80

d.2.80

Question19

A certain number of the Durban car commuters has a sample mean time of 35.8 to commute to work daily. Assuming that the population standard deviation is 11 minutes, standard error is 1.1 minutes and that commuting times are normally distributed. Identify the size of the sample.

Select one:

a.70

b.100

c.20

d.60

Question20

Which of the following is a characteristic of every binomial distribution?

Select one:

a.The outcome of the trial depends on the number of trials.

b.Each outcome is dependent on the previous outcome.

c.The probability of success increases from trial to trial.

d.Each outcome is mutually exclusive.

Question21

The test statistic is z = 2.75, the critical value is z = 2.326. The probability value is_________.

Select one:

a.not measurable

b.less than the significant level

c.equal to the significant level

d.greater than the significant level

Question22

The mean difference between 16 paired observations is 25 and the standard deviation is 10. The value of statistic-t is_______.

Select one:

a.16

b.25

c.4

d.10

Question23

The average time in years to get an undergraduate degree in computer science was compared for men and women. Random samples of 100 male computer science majors and 100 female computer science majors were taken. Choose the appropriate parameter(s) for this situation.

Select one:

a.Difference between two population proportions _p_1 _p_2.

b.One population mean 1

c.One population proportion p.

d.Difference between two population means 1 2

Question24

Which of the following is a characteristic of every binomial distribution?

Select one:

a.Each outcome is mutually exclusive.

b.Each outcome is dependent on the previous outcome.

c.The probability of success increases from trial to trial.

d.The outcome of the trial depends on the number of trials.

Question25

Suppose a business person wishes to open a store in a local shopping centre only if there is strong evidence that the average number of people in the centre is greater than 5000 per day. The null hypothesis will be_______.

Select one:

a.H0: 5000

b.H0: > 5000

c.H0: 5000

d.H0: < 5000