Below are the null and alternative Hypothesis,
Null Hypothesis: μ = 57.3
Alternative Hypothesis: μ > 57.3
Rejection Region
This is right tailed test, for α = 0.005 and df = 11
Critical value of t is 3.106.
Hence reject H0 if t > 3.106
Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (69.9 - 57.3)/(16.8/sqrt(12))
t = 2.598
P-value Approach
P-value = 0.0124
As P-value >= 0.005, fail to reject null hypothesis.
greater than alpha
Fail to reject H0
option D
You wish to test the following claim (Ha) at a significance level of a = 0.005....
You wish to test the following claim (Ha) at a significance level of a 0.005. Ho: μ-68.2 Ha: μ > 68.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n 30 with a mean of M 78.9 and a standard deviation of SD -14.7 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value- What is the test statistic for...
You wish to test the following claim (Ha) at a significance level of a = 0.002 H:= 76.5 H:<76.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 86 with mean M = 74.3 and a standard deviation of SD= 6.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? (Report...
You wish to test the following claim (HaHa) at a significance level of α=0.005. Ho:μ=52.6Ho Ha:μ>52.6Ha You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=27 with mean M=54.7 and a standard deviation of SD=8.4. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = ______________ What is the p-value for this sample? (Report answer accurate to four...
You wish to test the following claim (Ha) at a significance level of α 0.01. Ha: μ > 85.6 and you know the standard deviation is σ 18.5. You obtain a sample mean of M- 87.2 for a sample of size n-63 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value- The p-value is.. O less than...
You wish to test the following claim ( H a ) at a significance level of α = 0.10 . H o : μ = 72.5 H a : μ > 72.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 77.2 and a standard deviation of S D = 5.7 . What is the p-value for this sample? (Report answer...
= 0.10. You wish to test the following claim (H) at a significance level of a Ho 55.5 H1 55.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56.8 73.6 92.6 87.7 44.2 52.2 81.2 66.7 98.1 64.1 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value= What is the test statistic for this sample? (Report answer...
You wish to test the following claim (H) at a significance level of a = 0.02. Hou = 79.8 Huu < 79.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 65.5 46 52.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)...
You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:μ=52.8 Ha:μ≠52.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=55 with mean M=54 and a standard deviation of SD=6.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal...
You wish to test the following claim ( H a ) at a significance level of α = 0.02 . H o : μ = 51.6 H a : μ < 51.6 You believe the population is normally distributed and you know the population standard deviation is σ = 8.7 . You obtain a sample mean of M = 49.3 for a sample of size n = 51 . What is the test statistic for this sample? (Report answer accurate...
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=63.2Ho:μ=63.2 Ha:μ≠63.2Ha:μ≠63.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=58n=58 with mean M=61.1M=61.1 and a standard deviation of SD=5.2SD=5.2. 1. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 2. What is the p-value for this sample? (Report answer accurate to...