Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost
1 answer:
a = amount of advance tickets sold
s = amount of same-day tickets sold
we know that for that performance 55 were sold in all, thus a + s = 55.
and since we know each a costs 35, then the whole amount sold was 35a, and for all s sold it was then likewise 30a.
the total amount paid for all 55 that day was 1775, thus 35a + 30a = 1775.
how many s were sold? well s = 55 - a.
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Answer:
For this case the statistic calculated is
So the p value is a very high value and using the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and there is enough evidence to conclude that we have a difference between the two means at 10% of significance.
Step-by-step explanation:
Data given and notation
represent the mean for the sample for A
represent the mean for the sample B
represent the sample standard deviation for the sample A
represent the sample standard deviation for the sample B
sample size for the group poisoned
sample size for the group unpoisoned
t would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the two means are equal or not , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case is better apply a t test to compare means, and the statistic is given by:
(1)
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Calculate the statistic
For this case the statistic calculated is
Statistical decision
The significance level is 0.1 , but we can calculate the p value for this test. The first step is calculate the degrees of freedom, on this case:
The p value on this case is given
So the p value is a very high value and using the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and there is enough evidence to conclude that we have a difference between the two means at 10% of significance.
Ok so set up a proportion:
now cross multiply to get
50x = 900
divide 50 on both sides
x = 900/50 = 18 mi
now cross multiply to get
50x = 900
divide 50 on both sides
x = 900/50 = 18 mi