Question

# You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.       Ho:μ=54.9Ho:μ=54.9...

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.

Ho:μ=54.9Ho:μ=54.9
Ha:μ<54.9Ha:μ<54.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean ¯x=50.5x¯=50.5 and a standard deviation of s=8.9s=8.9.

1. What is the test statistic for this sample?

test statistic =  Round to 3 decimal places
2. What is the p-value for this sample?

p-value =  Use Technology Round to 4 decimal places.
3. The p-value is...
• less than (or equal to) αα
• greater than αα

4. This test statistic leads to a decision to...
• reject the null
• accept the null
• fail to reject the null

5. As such, the final conclusion is that...
• There is sufficient evidence to warrant rejection of the claim that the population mean is less than 54.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.9.
• The sample data support the claim that the population mean is less than 54.9.
• There is not sufficient sample evidence to support the claim that the population mean is less than 54.9.