Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis ; Alternative hypothesis
.
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by is of 0, hence:
At the alternative hypothesis, it is tested if there is a difference, hence:
More can be learned about an hypothesis test at brainly.com/question/26454209
Answer:
The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Step-by-step explanation:
Let the random variable <em>X</em> denote the water depths.
As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.
The probability density function of <em>X</em> is:
Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:
Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Answer:
Step-by-step explanation:
The given function is
We need to find first partial derivatives of the function.
Differentiate partially w.r.t. x and y, z are constants.
Differentiate partially w.r.t. y and x, z are constants.
Differentiate partially w.r.t. z and x, y are constants.
Therefore, the first partial derivatives of the function are .