1 answer:
Answer:
The ratio of trucks to cars will be
Step-by-step explanation:
Given:
Ratio of cars to trucks is given as 3 cars to 7 trucks.
The ratio of cars to trucks in the mall can be represented as
To find ratio of trucks to cars in the mall.
In order to find the ratio of trucks to cars we reciprocate the ratio of cars to trucks.
If ratio of cars to trucks
Then ratio of trucks to cars will be
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Answer:
We conclude that the students that took the Kaplan tutoring have a mean score greater than 29.5.
Step-by-step explanation:
We are given that the Kaplan tutoring company obtains a sample of 40 students with a mean MCAT score of 32.2 with a standard deviation of 4.2.
Let = <u><em>population mean score</em></u>
So, Null Hypothesis, :
29.5 {means that the students that took the Kaplan tutoring have a mean score less than or equal to 29.5}
Alternate Hypothesis, :
> 29.5 {means that the students that took the Kaplan tutoring have a mean score greater than 29.5}
The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about population standard deviation;
T.S. = ~
where, = sample mean MCAT score = 32.2
s = sample standard deviation = 4.2
n = sample of students = 40
So, <u><em>the test statistics</em></u> = ~
= 4.066
The value of t-test statistics is 4.066.
Now, at 0.05 level of significance, the t table gives a critical value of 1.685 at 39 degrees of freedom for the right-tailed test.
Since the value of our test statistics is more than the critical value of t as 4.066 > 1.685, so <u><em>we have sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.
Therefore, we conclude that the students that took the Kaplan tutoring have a mean score greater than 29.5.