1) The one-sample t-statistic for testing H0: μ = 0 Ha: μ > 0 from a sample of n=20 is t=1.84
a. What are the degrees of freedom for this statistic?
b. What are the two critical values of t* that bracket t= 1.84 from the t-table?
c. Is the value t=1.84 significant at both the 5% and 1% level?
a)
Degree of freedom: df=n-1=20-1=19
b)
The two critical values for df=19 bracket t=1.84 are 1.729 and 2.093.
c)
The p-value is between 0.025 and 0.05. That is
0.025 < p-value < 0.05
Since p-value is less than 0.05 so it is significant at 5% level of significance.
Since p-value is not less than 0.01 so it is not significant at 1% level of significance.
1) The one-sample t-statistic for testing H0: μ = 0 Ha: μ > 0 from a...
The one-sample t statistic for testing H0: μ = 8 Ha: μ > 8 from a sample of n=22 observations has the value t = 2.24 a) What are the degrees of freedom for this statistic? Blank 1 b) (report to 3 decimal places) Give the two critical values t* from Table D that bracket t: Lower: Blank 2 Upper: Blank 3 c) (report to 2 decimal places) Between what two values does the P-value of the test fall? Lower:...
The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a sample of n = 13 observations has the value t = 2.77. (a) What are the degrees of freedom for t? (b) Locate the two critical values t* from the Table D that bracket t. < t < (c) Between what two values does the P-value of the test fall? 0.005 < P < 0.01 0.01 < P < 0.02 0.02 < P <...
The one-sample t statistic for testing H0: μ = 20 Ha: μ < 20 based on n = 7 observations has the value t = −1.89. (a) What are the degrees of freedom for this statistic? (b) Between what two values does the P-value of the test fall? (You may use Table D.) A) 0.005 < P < 0.010 B) .01 < P < 0.02 C) 0.02 < P < 0.025 D) 0.025 < P < 0.05 E) 0.05 <...
ply Your Knowledge 20.8 Is It Significant? The one-sample t statistic for testing from a sample of n = 25 observations has the value 1.75. (a) What are the degrees of freedom for this statistic? (b) Give the two critical values from Table C that bracket t. What are the one-sided P-values for these two entries? (c) Is the value t-1.75 significant at the 10% level? Is it significant at the 5% level? Is it significant at the 1% level?...
The one-sample t statistic for a test of H0: μ = 10 Ha: μ < 10 Based on n = 10 observations has the value t = -2.25. a. What are the degrees of freedom for this statistic? b. What is the P-value for this test? (4 points)
The one-sample t statistic for a test of H0: μ = 11 vs. Ha: μ < 11 based on n = 13 observations has the test statistic value of t = −1.25. What is the p-value for this test? a) 0.418 b) 0.882 c) 0.000 d) 0.118 e) 0.235
20.9 Is It Significant? The one-sample t statistic from a sample of n = 32 tions for the two-sided test of Ho: u = 50 Huu# 50 has the value t - 2.10. (a) What are the degrees of freedom for t? (b) Locate the two critical values e from Table C that bracket. What are the two-sided P-alues for these two entries! (e) Is the value - 2.10 statistically significant at the 10% level? At the 5% level? At...
For testing H0 : μ = 120 vs Ha : μ < 120 using the sample results x̄ = 116.3, s = 18.4, with n = 100. Which of the following below is most correct? (A). There is not enough information to tell. (B). z = -2.01, p-value = 0.022, Reject Ha (C) t = -8.63, p-value = 0, Reject H0 (D). z = -2.01, p-value = 0.022, Reject H0 (E). t = -2.01, p-value = .024, Reject H0
The one-sample t statistic from a sample of n = 13 observations for the two-sided test of the following hypotheses has the value t 1.49. Hoi 64 H 64 (a) What are the degrees of freedom for t? df = (b) Locate the two critical values t from Table C that bracket t. (Use 3 decimal places.) <t What are the twwo-sided P-values for these two entries? <P-value 1.49 significant at the 10 % level? (d) Is the value t...
You are testing H0:μ=100against Ha:μ<100with degrees of freedom of 24. The t statistic is -2.15 . The P-value for the statistic falls between ____ and _____ .