**The expression (3x^2 + 5x - 12) - 2(x^2 + 4x + 9) is equivalent to which of the following?
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Answer:
The value of test statistics is 1.06.
Step-by-step explanation:
We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.
We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.
Let, NULL HYPOTHESIS, :
= 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}
ALTERNATE HYPOTHESIS, :
> 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}
The test statistics that will be used here is One-sample t-test;
T.S. = ~
where, = sample mean amount of time per month each teenager watched social media posts = 15.6 hours
= sample standard deviation = 2.5 hours
n = sample of teenagers = 11
So, <u>test statistics</u> = ~
= 1.06
Hence, the value of test statistics is 1.06.
Let x represent number of wrong questions answered by Aaron.
We have been given that Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. We are asked to find Aaron's score (out of 20) if he got 6 questions wrong.
To find Aaron's score, we will subtract number of wrong answers from total score.
Therefore, Aaron's test scores would be 14 out of 20.
To find Aaron's score if he got x questions wrong, we will subtract x from total scores that is .
Therefore, Aaron's score would be , if he got x questions wrong.