You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.
Ho:μ=63.4Ho:μ=63.4
Ha:μ<63.4Ha:μ<63.4
You believe the population is
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ???? TI-84 steps
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = ??/TI-84 steps
The test statistic is...?
- in the critical region
- not in the critical region
This test statistic leads to a decision to...?
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...?
- There is sufficient evidence to warrant rejection of the claim that the population mean is less than 63.4.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 63.4.
- The sample data support the claim that the population mean is less than 63.4.
- There is not sufficient sample evidence to support the claim that the population mean is less than 63.4.
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- You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=60.8Ho:μ=60.8 Ha:μ<60.8Ha:μ<60.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=626n=626 with a mean of M=59.5M=59.5 and a standard deviation of SD=7.7SD=7.7.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 = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is less…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=57.7Ho:μ=57.7 Ha:μ≠57.7Ha:μ≠57.7You believe the population is normally distributed and you know the standard deviation is σ=10.5σ=10.5. You obtain a sample mean of M=60.2M=60.2 for a sample of size n=18n=18.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 =arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=85.9Ho:μ=85.9 Ha:μ>85.9Ha:μ>85.9 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=89.6M=89.6 and a standard deviation of SD=9.1SD=9.1. 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 =arrow_forward
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- You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=67.5Ho:μ=67.5 Ha:μ>67.5Ha:μ>67.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=10n=10 with mean M=77.3M=77.3 and a standard deviation of SD=19.4SD=19.4.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=75.3Ho:μ=75.3 Ha:μ>75.3Ha:μ>75.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=99n=99 with mean M=80.3M=80.3 and a standard deviation of SD=17.1SD=17.1.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... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. The sample data…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=50.1Ho:μ=50.1 Ha:μ<50.1Ha:μ<50.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=29n=29 with mean M=47.2M=47.2 and a standard deviation of SD=11.2SD=11.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = IncorrectWhat is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null Correct As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 50.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 50.1. The…arrow_forward
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