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ID: 3048377 • Letter: Q

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Question 1 (1 point)

As sample size increases, the critical region boundaries for a two-tailed test with a = .05 will move closer to zero.

Question 1 options:

TrueFalse

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Question 2 (1 point)

If other factors are held constant, as the sample variance increases, the estimated standard error also increases.

Question 2 options:

TrueFalse

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Question 3 (1 point)

If other factors are held constant, what is the effect of increasing the sample size?

Question 3 options:

It will increase the estimated standard error and increase the likelihood of rejecting H0.

It will increase the estimated standard error and decrease the likelihood of rejecting H0.

It will decrease the estimated standard error and increase the likelihood of rejecting H0.

It will decrease the estimated standard error and decrease the likelihood of rejecting H0.

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Question 4 (1 point)

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?

Question 4 options:

s2 = 9 and sM = 3

s2 = 9 and sM = 1

s2 = 3 and sM = 3

s2 = 3 and sM = 1

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Question 5 (1 point)

If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t statistic?

Question 5 options:

If the samples are the same size and have the same variance

If the samples are the same size and have the same mean

If the samples have the same mean and the same variance

If the samples are the same size and have the same mean and the same variance

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Question 6 (1 point)

A sample of n = 25 scores produces a t statistic of t = 2.062. If the researcher is using a two-tailed test, which of the following is the correct statistical decision?

Question 6 options:

The researcher can reject the null hypothesis with = .05 but not with = .01.

The researcher can reject the null hypothesis with either = .05 or = .01.

The researcher must fail to reject the null hypothesis with either = .05 or = .01.

It is impossible to make a decision about H0 without more information.

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Question 7 (1 point)

Compared to a z-score, a hypothesis test with a t statistic requires more information from the sample.

Question 7 options:

TrueFalse

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Question 8 (1 point)

If other factors are held constant, the bigger the sample is, the greater the likelihood of rejecting the null hypothesis.

Question 8 options:

TrueFalse

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Question 9 (1 point)

A researcher conducts a hypothesis test using a sample of n = 20 from an unknown population. What is the df value for the t statistic?

Question 9 options:

Cannot be determined from the information given

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Question 10 (1 point)

Which of the following is not needed to compute a t statistic?

Question 10 options:

A hypothesized value for the population mean

The value of the population variance or standard deviation

The value of the sample mean

The value of the sample variance or standard deviation

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Question 11 (1 point)

With = .05 and df = 8, the critical values for a two-tailed t test are t = ±2.306. Assuming all other factors are held constant, if the df value were increased to df = 20, what would happen to the critical values for t?

Question 11 options:

They would increase (move farther from zero).

They would decrease (move closer to zero).

They would stay the same.

Not enough information to answer

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Question 12 (1 point)

If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that = 80?

Question 12 options:

M = 85 and small sample variance

M = 85 and large sample variance

M = 90 and small sample variance

M = 90 and large sample variance

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Question 13 (1 point)

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?

Question 13 options:

It is almost perfectly normal.

It is flatter and more spread out than the normal distribution.

It is taller and narrower than the normal distribution.

There is no consistent relationship between the t distribution and the normal distribution.

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Question 14 (1 point)

Two samples are selected from a population, and a treatment is administered to the samples. If both samples have the same mean and the same variance, you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.

Question 14 options:

TrueFalse

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Question 15 (1 point)

A hypothesis test produces a t statistic of t = 2.20. If the researcher is using a two-tailed test with = .05, how large does the sample have to be in order to reject the null hypothesis?

Question 15 options:

At least n = 11

At least n = 12

At least n = 13

At least n = 14

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Question 16 (1 point)

For a one-tailed test with a = .05 and a sample of n = 9, the critical value for the t statistic is t = 1.860.

Question 16 options:

TrueFalse

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Question 17 (1 point)

Under what circumstances can a very small treatment effect be statistically significant?

Question 17 options:

If the sample size big and the sample variance is small

If the sample size and the sample variance are both big

If the sample size is small and the sample variance is big

If the sample size and the sample variance are both small

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Question 18 (1 point)

As the sample size is increased, the distribution of t statistics becomes flatter and more spread out.

Question 18 options:

TrueFalse

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Question 19 (1 point)

For a hypothesis test using a t statistic, the boundaries for the critical region will change if the sample size is changed.

Question 19 options:

TrueFalse

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Question 20 (1 point)

A research report states “t(15) = 2.31, p < .05.” For this study, the sample had n = 16 scores.

Question 20 options:

TrueFalse

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Question 21 (1 point)

On average, what value is expected for the t statistic when the null hypothesis is true?

Question 21 options:

1.96

t > 1.96

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Question 22 (1 point)

A sample has a mean of M = 39.5 and a standard deviation of s = 4.3, and produces a t statistic of t = 2.14. For a two-tailed hypothesis test with = .05, what is the correct statistical decision for this sample?

Question 22 options:

The researcher can reject the null hypothesis with = .05 but not with = .01.

The researcher can reject the null hypothesis with either = .05 or = .01.

The researcher must fail to reject the null hypothesis with either = .05 or = .01.

It is impossible to make a decision about H0 without more information.

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Question 23 (1 point)

When the population variance or standard deviation is not known, you must use a t statistic instead of a z-score for a hypothesis test.

Question 23 options:

TrueFalse

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Question 24 (1 point)

If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15, then the correct decision is to reject the null hypothesis for a two-tailed test with a = .05.

Question 24 options:

TrueFalse

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Question 25 (1 point)

A sample of n = 4 scores with SS = 48 has a variance of 16 and an estimated standard error of 2.

Question 25 options:

TrueFalse

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Explanation / Answer

1) As sample size increases, the critical region boundaries for a two-tailed test with a = .05 will move closer to zero.

Answer :- True ( as sample size increases the denominator becomes large leading critical region boundaries to move close to zero)

Question 2 (1 point)

If other factors are held constant, as the sample variance increases, the estimated standard error also increases.

Answer: True ( As the sample variance increases the estimated standard error also increases.)

Question 3 (1 point)

If other factors are held constant, what is the effect of increasing the sample size?Answer :It will increase the estimated standard error and increase the likelihood of rejecting H0.

Question 4 (1 point)

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?

Answer : s2 = 9 and sM = 3

(Sample variance = SS/n-1 = 72/8 = 9 , Std. Error = sqrt (var) = 3)

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