A random sample of 36 tourists in the Grand Bahamas showed that they spent an average of $1,860 (in a week) with a standard deviation of $126; and a sample of 64 tourists in New Province showed that they spent an average of $1,935 (in a week) with a standard deviation of $138. Is there any significant difference between the average expenditures of those who visited the two islands

Now we can calculate the p value:

For this case the p value is a very lowe value so then we have enough evidence to reject the null hypothesis. Since the p value is a very low value.

Step-by-step explanation:

Information given

represent the mean for Grand Bahamas

represent the mean for New Province  

represent the sample standard deviation for Grand Bahamas

represent the sample standard deviation for New Bahamas

sample size for the group Grand Bahamas

sample size for the group New Bahamas

t would represent the statistic

System of hypothesis

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by  

The statistic can be calculated like this:

Now we can calculate the p value:

For this case the p value is a very lowe value so then we have enough evidence to reject the null hypothesis. Since the p value is a very low value.

b

step-by-step explanation:

312312

step-by-step explanation: