Question: What continuous probability distribution is most appropriate for testing hypotheses and constructing confidence intervalsforsinglepopulations,given the population standard deviation is unknown ( and typically the sample

What continuous probability distribution is most appropriate for testing hypotheses and constructing confidence intervalsforsinglepopulations,given the population standard deviation isunknown(and typically the sample size issmall)?

  1. a.Chi-square distribution
  2. b.Z or standard normal distribution
  3. c.Student's t distribution
  4. d.F distribution

What continuous probability distribution is most appropriate for testing hypotheses and constructing confidence intervalsforsinglepopulations,given the population standard deviation isknown(and typically the sample size islarge)?

  1. a.F distribution
  2. b.Student's t distribution
  3. c.Chi-square distribution
  4. d.Z or standard normal distribution

What continuous probability distribution is most appropriate for statistical inference involving multiple populations and the technique known asAnalysisof Variance (ANOVA)?

  1. a.F distribution
  2. b.Z or standard normal distribution
  3. c.Student's t distribution
  4. d.Chi-square distribution

What continuous probability distribution is most appropriate for non-parametric statistical inference such as the Goodness of Fit Test?

  1. a.F distribution
  2. b.Chi-square distribution
  3. c.Student's t distribution
  4. d.Z or standard normal distribution

For a one-tail hypothesis test, the critical value is found to bez = - 2.576.The test statistics is calculated to bez = - 2.600.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

For a one-tail hypothesis test, the critical value is found to bez = - 2.576.The test statistics is calculated to bez = - 1.900.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

For a one-tail hypothesis test, the critical value is found to bez = - 1.96.The test statistics is calculated to bez = - 1.90.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

For a one-tail hypothesis test, the critical value is found to bez = - 1.96.The test statistics is calculated to bez = - 2.60.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

For a two-tail hypothesis test, the critical values are found to bet = - 2.205andt = + 2.205.The test statistics is calculated to be t= + 4.590.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

For a two-tail hypothesis test, the critical values are found to bet = - 2.205andt = + 2.205.The test statistics is calculated to be t= - 1.850.

  1. What technical conclusion is most appropriate?
  2. a.Fail to reject the null hypothesis
  3. b.Marginally fail to reject the null hypothesis
  4. c.Marginally reject the null hypothesis
  5. d.Reject the null hypothesis

For a one-tail hypothesis test, the p-value is0.0968.The level of significance is10%.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

For a one-tail hypothesis test, the p-value is0.101155.The level of significance is10%.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

A small-sample 99.5% confidence interval is as follows for aspecificsamplemeanand sample standard deviation:[2.9547,6.0453].A corresponding two-tail hypothesis testis conducted to test the hypothesized population mean of3.0000.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

A small-sample 99.5% confidence interval is as follows for aspecificsamplemeanand sample standard deviation:[2.9547,6.0453].A corresponding two-tail hypothesis testis conducted to test the hypothesized population mean of6.1000.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

One-Way Analysisof Variance (ANOVA) methods at the 1% level of significance yield a critical value ofF = + 4.500.The correspondingtest statistic isF = +1.754with ap-value of 18%.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

One-Way Analysisof Variance (ANOVA) methods at the 1% level of significance yield a critical value ofF = + 4.500.The correspondingtest statistic isF = +7.265with ap-value of 0.1%.

What technical conclusion is most appropriate?

a.Fail to reject the null hypothesis

b.Marginally fail to reject the null hypothesis

c.Marginally reject the null hypothesis

d.Reject the null hypothesis

e.Highly reject the null hypothesis

f.None of these answers

Two-Way Analysisof Variance (ANOVA) methods at the 5% level of significance resulted ina critical value ofF = + 2.534for rows or treatments and a critical value ofF = + 2.421for columns or blocks.The corresponding row or treatment test statistic isF = +1.250which yields ap-value of 31%.

What technical conclusion is most appropriate for rows or treatments?

a.Fail to reject the null hypothesis for rows or treatments

b.Marginally fail to reject the null hypothesisfor rows or treatments

c.Marginally reject the null hypothesisfor rows or treatments

d.Reject the null hypothesisfor rows or treatments

e.Highly reject the null hypothesisfor rows or treatments

f.None of these answers

Two-Way Analysisof Variance (ANOVA) methods at the 5% level of significance resulted ina critical value ofF = + 2.534for rows or treatments and a critical value ofF = + 2.421for columns or blocks.The corresponding row or treatment test statistic isF = +3.125which yields ap-value of 2%.

  1. What technical conclusion is most appropriate for rows or treatments?
  2. a.Fail to reject the null hypothesis for rows or treatments
  3. b.Marginally fail to reject the null hypothesisfor rows or treatments
  4. c.Marginally reject the null hypothesisfor rows or treatments
  5. d.Reject the null hypothesisfor rows or treatments
  6. e.Highly reject the null hypothesisfor rows or treatments
  7. f.None of these answers

Two-Way Analysisof Variance (ANOVA) methods at the 5% level of significance resulted ina critical value ofF = + 2.534for rows or treatments and a critical value ofF = + 2.421for columns or blocks.The corresponding column or block test statistic isF = +2.450which yields ap-value of 4.8%.

What technical conclusion is most appropriate for columns or blocks?

a.Fail to reject the null hypothesis for columns or blocks

b.Marginally fail to reject the null hypothesisforcolumns or blocks

c.Marginally reject the null hypothesisforcolumns or blocks

d.Reject the null hypothesisforcolumns or blocks

e.Highly reject the null hypothesisforcolumns or blocks

f.None of these answers

Two-Way Analysisof Variance (ANOVA) methods at the 5% level of significance resulted ina critical value ofF = + 2.534for rows or treatments and a critical value ofF = + 2.421for columns or blocks.The corresponding column or block test statistic isF = +6.408which yields ap-value of 0.02%.

What technical conclusion is most appropriate for columns or blocks?

a.Fail to reject the null hypothesis for columns or blocks

b.Marginally fail to reject the null hypothesisforcolumns or blocks

c.Marginally reject the null hypothesisforcolumns or blocks

d.Reject the null hypothesisforcolumns or blocks

e.Highly reject the null hypothesisforcolumns or blocks

f.None of these answers

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