Question

Question 2

You may use the Normal distribution when you have the standard deviation of the sample and the sample size is higher than 30.

True

False

Question 3

With of 98 and a sample standard deviation of 10, the sample size of 16, and the population mean (μ) of a 100, the experimental t value is 0.8, and the P – value is between 0.10 and 0.25.

True

False

Answer 1

Q2. True, because if the sample size increases from more than 30 the distribution approaches a normal distribution ,

Q3. If the sample size is 16 then we use T distribution here,

Also given sample mean 98 and population mean is 100 and sample standard deviation is 10.

Now by t distribution formula

$t=\frac{\bar{X}-\mu}{\frac{s}{\sqrt{n}}}}$$t=\frac{\bar{X}-\mu}{\frac{s}{\sqrt{n}}}$$t=\frac{\bar{X}-\mu}{\frac{s}{\sqrt{n}}}=\frac{98-100}{\frac{10}{\sqrt{16}}}=-0.8$

At t value -0.8 and Degree of freedom n-1=16-1=15

The p value associated with t is 0.218 which is beteeeb 0.10 and 0.25 but the t value is -0.8 hence the answer is

False