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Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>An exponential function is a function in which the growth rate is a percentage, modeled by:
In which:
- a is the initial value.
- b is the rate of change.
f(3.5) = 25 means that:
f(8.5) = 14 means that:
Hence:
Hence, the function is given by:
Then, when x = 5.5:
More can be learned about exponential functions at brainly.com/question/25537936
<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.