Find the slope of the line that passes through (8, 4) and (5, 2).
1 answer:
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<h2>Answer with explanation:</h2>
Let be the population mean.
By considering the given information , we have
Null hypothesis :
Alternative hypothesis :
Since alternative hypothesis is right-tailed , so the test is a right-tailed test.
Given : Sample size : n=16 , which is a small sample , so we use t-test.
Sample mean: ;
Standard deviation:
Test statistic for population mean:
i.e.
Using the standard normal distribution table of t , we have
Critical value for :
Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.
Answer:
The inequality to show how many hours of television Julia can still watch this week can be given as:
⇒
where represents he number of hours of television that Julia can still watch this week
On solving for , we get
Thus, Julia can still watch no more than 3.5 hours of television this week.
Step-by-step explanation:
Given:
Julia is allowed to watch television no more than 5 hours a week.
She has already watched 1.5 hours
To write and solve an inequality to show how many hours of television Julia can still watch this week.
Solution:
Let the number of hours of television that Julia can still watch this week be =
Number of hours already watched = 1.5
Total number of hours of watching television this week would be given as:
⇒
It is given that Julia is allowed to watch no more than 5 hours of television in a week.
Thus, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 1.5
Thus, Julia can still watch no more than 3.5 hours of television this week.