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
this is the left tailed test .
The null and alternative hypothesis is ,
H0 :
= 11
Ha :
<
Test statistic = t =−1.25 df=n-1=13-1=12
P(t ,df < -1.25,12) = 0.1176
P-value = 0.118
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 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 <...
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 = 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:...
Compute the value of the test statistic for testing H0: μ = 30 vs. Ha: μ > 30, based on the information σ = 2.53, n = 32, LaTeX: \bar{x}x ¯= 30.2, s = 2.58. a) 2.536 b) 0.439 c) 2.488 d) 0.447 e) 0.089
For a test of H0: μ = 15 versus Ha: μ ̸= 15, the value of the test statistic is t = 3.472 based on a sample of 9 observations. Based on Table D, how would you express the P-value?
H0: μ ≤ 16.56 vs. HA: μ > 16.56 What is the test statistic for sample of size 20, mean 11.53, and standard deviation 1.73? Enter the test statistic with 2 decimal places.
Compute the value of the test statistic for testing H0: μ ≤ 30 vs. Ha: μ > 30, where the true standard deviation is 2.53. You have 32 observations of data in which the mean is 30 and the standard deviation is 2.58.
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 = 21 observations for the two-sided test of H0: μ = 60, Ha: μ ≠ 60 has the value t = –1.98. Based on this information: we would reject the null hypothesis at α = 0.05. All of the answers are correct. 0.025 < P-value < 0.05. we would reject the null hypothesis at α = 0.10