Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which 
is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:
Zeros of a function: x = 1 and x = -10
Step-by-step explanation:
A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.
First we need to make f(x)=0, so we would have: 
.
If we factorize this quadratic function, we would have: 
So we get x = -10 and x = 1.
- x = 1 means that the diver hits the water 1 foot away horizontally from the board.
- x=-10 means the diver hits the water 10 feet behind the diving board.
Hope it helps!
Answer:
Probability is 0
Step-by-step explanation:
The key information is that the data is normally distributed.
In a normal distribution, each individual value of hours has a probability equals to zero. It is a continuos distribution which is centered in the mean value, and where the expected value is the average.
As the distribution it is centered in the mean value, and it is symmetrical, then the probabilty of a bulb lasting more than the mean value is 0.5, and the probabilty of lasting less than avergare is 0.5 as well, but each individual valu is 0
I believe it would be 25+25+15+15 = 80ft
