Nick was playing a game with his friends. In the game, he received points for correct answers and lost points for incorrect answ
er Nu
got the first question right and earned 15 points. He got the next question wrong and lost 22 points
What was Nick's score after answering the first two questions?
Enter your answer in the box
points
NAN
11 12 13 14 15 16 17 18 10.40
got the first question right and earned 15 points. He got the next question wrong and lost 22 points
What was Nick's score after answering the first two questions?
Enter your answer in the box
points
NAN
11 12 13 14 15 16 17 18 10.40
1 answer:
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Answer:
The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.
Step-by-step explanation:
The candy company claims that the percentage of blue candies is equal to 29%.
This means that the null hypothesis is:
We want to test the hypothesis that this is true, so the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.29 is tested at the null hypothesis:
This means that
Suppose that in a random selection of 100 colored candies, 21% of them are blue.
This means that
Value of the test statistic:
Pvalue of the test:
The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.
Looking at the z-table, z = -1.76 has a pvalue of 0.0392
2*0.0392 = 0.0784
The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.
If a function is defined as
where both are continuous functions, then
is also continuous where defined, i.e. where
So, in your case, this function is continous everywhere, except where
To solve this equation, we can use the formula
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.