We must know that 
. So:
Think about a six-sided die with each number, 1 through 6, appearing once on each die. Which of the following events is mutually
1 answer:
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Answer:
The bus must be used 21 times a month so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
Step-by-step explanation:
This problem can be modeled by two first order functions. One function is the monthly cost without the coupon book, and the other function is the monthly cost with the coupon book.
Monthly cost without the coupon book:
The only thing that the person will spend is the bus fare, that is $1.75. So the cost is:
where n is the number of times that the person rode the bus.
Monthly cost with the coupon book:
The person will spend $21 for the book plus the bus fare, that will be $.75. So the cost is:
The total monthly cost without the coupon book is the same as the total monthly cost with the coupon book when C1 = C2. So:
The bus must be used 21 times a month so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
Answer:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Step-by-step explanation:
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
The degrees of freedom are given by:
The p value for this case can be calculated from this probability:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.