Use aâ t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. Claim: μ>77; α=0.05
Sample statistics: xÌ =78.6,s=3.7,n=23

a. What are the null and alternative hypotheses?
b. What is the value of the standardized test statistic?
c. What is the P-value of the test statistic?

a)  NULL Hypothesis

    ALTERNATIVE hypotheses

b) Therefore t Critical value from table X is

c)  Hence,we reject the Null hypothesis

Step-by-step explanation:

From the question we are told that:

Claim:

Level of significance

Sample mean

Sample Standard deviation

Sample size

a)

Generally the equation for The null and alternative hypotheses is mathematically given by

NULL Hypothesis

ALTERNATIVE hypotheses

b)

Generally the equation for The standardized test statistics t is mathematically given by

Therefore Critical Value X is

Where

Therefore t Critical value from table X is

c)

The Test statistics is outside the Critical Value

Hence,we reject the Null hypothesis