Question

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.

Ho:μ=68.3Ho:μ=68.3

Ha:μ≠68.3Ha:μ≠68.3

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=13n=13
with mean M=73.5M=73.5 and a standard deviation of
SD=13.4SD=13.4.

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 p-value 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 not equal to 68.3.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.3.
- The sample data support the claim that the population mean is not equal to 68.3.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.3.

Answer #1

**solution:**

the given information as follows:

sample size = n = 13

sample mean = = 73.5

Sd = S = 13.4

the given null and alternative hypothesis:

significance level = = 0.002

since population standard dviation is not known so we use t-distribution

test statistics:

degree of freedom df = n-1 = 13-1 = **12**

**p value with t = 1.399 and 12df for two taile =
0.1871**

**p vaue is greater than**

so, **fail reject the null hypothesis**

**conclusion:**

**There is not sufficient sample evidence to support the
claim that the population mean is not equal to 68.3.**

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