Question

The population mean of ages for all females on the Titanic (survivors and non-survivors) was 24 years. Is the sample data you were given for the female ages greater than the population ages? Use a .05 level of significance.

Here is the data of sample ages :47, 29, 19, 22, 24, 9, 22, 16, 40, 45, 1, 50, 4

What test are you going to run? One mean t-test, Regression, One mean z-test, ANOVA

correct null hypothesis (Ho):

correct alternative hypothesis (Ha):

Test Statistics:

P-value:

What is the conclusion when you compare the p-value and the level of significance (alpha)?

What is the conclusion based on the original claim?

Answer 1

Answer)

Null hypothesis Ho : u = 24

Alternate hypothesis Ha : u > 24

We will use one sample mean t test

Test statistics t = (sample mean - claimed mean)/(s.d/√n)

Sample mean = 25.2308

Claimed mean = 24

S.d = 16.2232

N = 13

After substitution

Test statistics t = 0.27354113305 ~ 0.274

Degrees of freedom is = n-1 = 12

For 12 df and 0.274 test statistics

P-value from t distribution is = 0.394372

As the obtained Pvalue is greater than 0.05 (alpha)

We fail to reject the null hypothesis Ho

So we do not have enough evidence to support the claim that the female ages greater than the population ages