Reference no: EM132907655

You wish to test the following claim (Ha) at a significance level of α=0.0.Ho:μ=85.4Ha:μ<85.4

The believe the population is normally distributed, but do not know the standard deviation. You obtain the following sample of data:

data

89.7

74.3

53.1

77

88.7

80.3

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... (select one)

• less than (or equal to) α
• greater than α

This test statistic leads to a decision to... (select one)

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that... (select one)

• There is sufficient evidence to warrant rejection of the claim that the population mean is less than 85.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 85.4.
• The sample data support the claim that the population mean is less than 85.4.
• There is not sufficient sample evidence to support the claim that the population mean is less than 85.4.