Question

An F5 tornado is classified as having mean wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind speed measurements were randomly selected from within the path of the tornado. Suppose the mean wind speed for this tornado really is greater than 261 mph. Based on the data, if we fined little to no evidence against the null hypothesis that the mean wind speed is 261 mph, we have made _______________.

Answer 1

Complete Question

An F5 tornado is classified as having mean wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind speed measurements were randomly selected from within the path of the tornado. Suppose the mean wind speed for this tornado really is greater than 261 mph with a sample standard Deviation 41.09 mph. Based on the data, if we fined little to no evidence against the null hypothesis that the mean wind speed is 261 mph, we have made _______________.

Answer:

$P-value=0.3322$

Step-by-step explanation:

From the question we are told that:

Sample size $n=20$

Population mean $N=261$  

Sample mean $\=x= 265.1$  

Sample standard deviation $\sigma=41.09$    

Generally the equation t test statistics is mathematically given by

$t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }$

$t=\frac{265.1-261}{\frac{41.09}{\sqrt{20} } }$

$t=0.446$

Therefore

Pvalue from table is

$P-value=0.3322$