You wish to test the following claim (Ha) at a significance
level of α=0.001.
Ho:μ=63.8
Ha:μ<63.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=19 with
a mean of M=60.4 and a standard deviation of SD=8.2.
1. What is the critical value for this test? (Report answer
accurate to three decimal places.)
critical value = _____
2. What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic = _____
3. The test statistic is... _____
a) in the critical region
b) not in the critical region
4. This test statistic leads to a decision to...
a) reject the null
b) accept the null
c) fail to reject the null
5. As such, the final conclusion is that... _____
a) There is sufficient evidence to warrant rejection of the claim that the population mean is less than 63.8.
b) There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 63.8.
c) The sample data support the claim that the population mean is less than 63.8.
d) There is not sufficient sample evidence to support the claim that the population mean is less than 63.8.
You wish to test the following claim (Ha) at a significance level of α=0.001. Ho:μ=63.8 Ha:μ<63.8...
You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:μ=62.6 Ha:μ<62.6 You believe the population is normally distributed and you know the standard deviation is σ=10. You obtain a sample mean of M=59.5 for a sample of size n=33. 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 accurate to three decimal places.) test statistic =...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=50.8Ho:μ=50.8 Ha:μ≠50.8Ha:μ≠50.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=26n=26 with mean M=62.7M=62.7 and a standard deviation of SD=18.4SD=18.4. 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 decimal places.) p-value...
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 (HaHa) at a significance level of α=0.002α=0.002. Ho:μ=69.1Ho:μ=69.1 Ha:μ<69.1Ha:μ<69.1 You believe the population is normally distributed and you know the standard deviation is σ=19.7σ=19.7. You obtain a sample mean of M=64.1M=64.1 for a sample of size n=44n=44. 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...
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=89.4Ho:μ=89.4 Ha:μ<89.4Ha:μ<89.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=32n=32 with mean M=83.7M=83.7 and a standard deviation of SD=8.7SD=8.7. 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 places.) p-value...
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=72.9Ho:μ=72.9 Ha:μ≠72.9Ha:μ≠72.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 59.5 48.7 77.6 56.6 36.2 31.6 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...
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=59.6Ho:μ=59.6 Ha:μ<59.6Ha:μ<59.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6n=6 with mean M=56.5M=56.5 and a standard deviation of SD=6.8SD=6.8. 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 (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 (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=76.8 Ha:μ>76.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9 with mean M=80.2 and a standard deviation of SD=12.7 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... (choose one) less than (or equal to) αα greater than αα This p-value leads...
You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:μ=73.2 Ha:μ<73.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 71.3 63.5 54.4 82.2 69.3 64.4 69.7 50.8 63.5 73.8 93.5 55 74.6 83.3 71.3 80.1 56.2 61.7 48.1 55 89.5 73.4 65.6 89.5 61.3 41.5 94.8 76.4 68.1 75.9...