StatTutor Lesson - The One-Sample t Test

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The one-sample t test
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      Question 1

      105

      Question 1.

      What table should be used to find P-value for a one-sample inferential procedure on µ?

      A.
      B.

      Incorrect. Always use the t table to find P-value whenever s is used to estimate µ.
      Correct. Always use the t table to find P-value whenever s is used to estimate µ.
      Incorrect. Try again.
      2

      Question 2

      198

      Question 2.

      Why is the “One-sided row” used to find P-value for this example?

      A.
      B.
      C.

      Incorrect. Because Ha is µ > 31, this is a one-sided test.
      Correct. Because Ha is µ > 31, this is a one-sided test.
      Incorrect. Try again.
      2

      Question 3

      226

      Question 3.

      How can you get more accurate P-values than an interval as given by the t table?

      A.
      B.

      Incorrect. Using statistical software gives more accurate P-values than a t table.
      Correct. Using statistical software gives more accurate P-values than a t table.
      Incorrect. Try again.
      2

      Question 4

      297

      Question 4.

      The test statistic, t = –8.78 is off the df = 4 row on the right. Can we still find P-value for this test statistic using the t table?

      A.
      B.

      Incorrect. The P-value is smaller than the smallest probability on the “One-sided P” row when the test statistic value is off the t chart on the right. If the test statistic number is off the chart on the left, P-value is larger than the largest probability on the “One-sided P” row.
      Correct. The P-value is smaller than the smallest probability on the “One-sided P” row when the test statistic value is off the t chart on the right. If the test statistic number is off the chart on the left, P-value is larger than the largest probability on the “One-sided P” row.
      Incorrect. Try again.
      2

      Question 5

      357

      Question 5.

      Why is the “Two-sided row” used to find P-value for this example?

      A.
      B.
      C.

      Incorrect. Because Ha is µ ≠ 31, this is a two-sided test.
      Correct. Because Ha is µ ≠ 31, this is a two-sided test.
      Incorrect. Try again.
      2

      Question 6

      461

      Question 6.

      What table should we use to find P-value for the test statistic t=¯xμ0sn?

      A.
      B.

      Incorrect. Whenever we use s to estimate σ, we must use the t table.
      Correct. Whenever we use s to estimate σ, we must use the t table.
      Incorrect. Try again.
      2

      Question 7

      551

      Question 7.

      What alternative hypotheses to we need to use to answer the research question, “Is the mean pulse rate for male students different from 72 beats per minute?”

      A.
      B.
      C.
      D.

      Incorrect. Since we want to determine if the mean is “different from”, we want “≠” in Ha.
      Correct. Since we want to determine if the mean is “different from”, we want “≠” in Ha.
      Incorrect. Try again.
      2

      Question 8

      628

      Question 8.

      What are the degrees of freedom needed to find the P-value for the test statistic t = 0.758?

      A.
      B.
      C.
      D.

      Incorrect. df = n – 1 = 92 – 1 = 91
      Correct. df = n – 1 = 92 – 1 = 91
      Incorrect. Try again.
      2

      Question 9

      680

      Question 9.

      With 0.50 > P-value > 0.40 and α = 0.50, should we reject H0?

      A.
      B.

      Incorrect. Since p is less than alpha we reject H0.
      Correct. Since p is less than alpha we reject H0.
      Incorrect. Try again.
      2

      Question 10

      714

      Question 10.

      Why did we say “insufficient evidence to conclude” Ha is correct?

      A.
      B.
      C.

      Incorrect. When we do not reject H0, we do not have evidence to say that Ha is correct. On the other hand, neither do we have evidence to say that H0 is correct. The best we can do is estimate the value of µ with a confidence interval.
      Correct. When we do not reject H0, we do not have evidence to say that Ha is correct. On the other hand, neither do we have evidence to say that H0 is correct. The best we can do is estimate the value of µ with a confidence interval.
      Incorrect. Try again.
      2