You wish to test the following claim at a significance level of 0.005.

H0:=71.1

H1:<71.1

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 120 with a mean of 67.8 and a standard deviation of 11.2.

What is the critical value for this test? (Report answer accurate to 3 decimal places.)

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)

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 conclude that the population mean is equal to 71.1.
• there is not sufficient evidence to conclude that the population mean is equal to 71.1.
• there is sufficient evidence to conclude that the population mean is less than 71.1.
• there is not sufficient evidence to conclude that the population mean is less than 71.1.