Question

Summary for Deaths
Mean	3883.17
Median	2685.50
Standard Deviation	3908.65
Minimum	299.00
Maximum	19140.00

n=52

Determine if there is sufficient evidence to conclude the average amount of deaths is below is less than or equal to 5500 in the United States and territories at the 0.10 level of significance.

1. Clearly state a null and alternative hypothesis
2. Give the value of the test statistic
3. Report the P-Value
4. Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
5. Explain what your conclusion means in context of the data.

Answer 1

Answer)

Null hypothesis Ho : u <= 5500

Alternate hypothesis Ha: u > 5500

As the population standard deviation is unknown here and we are provided with the sample standard deviation, we will use t test.

Test statistics = (sample mean- claimed mean)/(standard deviation/√n)

N = 52

Sample mean = 3883.17

Claimed mean = 5500

Standard deviation = 3908.65

Test statistics = −2.983

Degrees of freedom is equal to n-1, 52-1, 51

For df 51 and test statistics of -2.983

P-value from t distribution is = 0.002185

As the obtained p-value is less than the given significance level of 0.1, we reject the null hypothesis

And we do not have enough evidence to support the claim that the mean is less than or equal to 5500.