The manager of a mall conducted a survey among two groups (n1 = 100, n2 = 100) of visitors to the mall on different days. She found that the first group spent an average of 60 minutes in the mall, while the second group spent an average of 90 minutes in the mall. If the manager wishes to see the difference in the average times spent by the two groups in the mall, Which of the following could be the alternative hypothesis?

a. The difference in the average times spent by the two groups in the mall is 30 minutes.
b. There is at least some difference in the average times spent by the two groups in the mall.
c. There is a difference in the average times spent by the two groups in the mall, with a standard deviation of 30 minutes.
d. There is no difference in the average times spent by the two groups in the mall.

Option B - There is at least some difference in the average times spent by the two groups in the mall.

Step-by-step explanation:

A null hypothesis is a hypothesis that states that there is no statistical significance between the two variables. Thus, It is usually the hypothesis that a researcher or experimenter will try to disprove or discredit. While an alternative hypothesis is one that states there is a statistically significant relationship between two variables.

Now, applying these definitions to the question, we can see that;

Null Hypothesis is;

H0; There is no difference in the average times spent by the two groups in the mall

While the alternative hypothesis is;

Ha; There is at least some difference in the average times spent by the two groups in the mall

Thus, correct answer is option B

a negative exponent is translated as follows:

so, we have

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints