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Asked Mar 12, 2019
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The critical value of t for a 98% confidence interval with dfequals 7?

The critical value of t for a 90% confidence interval with dfequals 112?

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Expert Answer

Step 1

The critical value for 98% confidence interval with 7 degrees of freedom:

The confidence level for the first confidence interval is 98%. That is level of significance is 1–0.98 = 0.02. Therefore, α=0.02 and α / 2=0.01. Here, the degree of freedom is 7.

For the t-test of 98% confidence interval, the critical value is,

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Step 2

From the t-table:

  • Locate the value 7 in the column of degrees of freedom.
  • Locate 0.02 in level of significance of two tailed.
  • The intersecting value that corresponds to the degrees of freedom 7 with level of significance 0.02 is 2.998.
Step 3

The critical value for 90% confidence interval with 112 degrees of freedom:

The confidence level for the first confidence interval is 90%. That is level of significance is 1–0.90 = 0.10. Th...

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