Zac claims that he has discovered another mathematical relationship.

When two random variables X and Y are considered to be independent, it means that neither X's distribution nor Y's values have any bearing on the other.

<h3>What do you mean by independent random variable?</h3>

A random variable is a variable used in an experiment, such as the number of coin tosses or card draws. An independent random variable is a random variable in your experiment that doesn't affect the other random variables. In other words, it has no impact on the likelihood that another event will occur. For illustration, suppose you randomly selected 50 bags of sugar from various grocery stores in order to determine the average weight of a bag of sugar. The factors are independent since you wouldn't anticipate the weight of one bag having an impact on another. A dependent random variable, on the other hand, does have an impact on the probability of other random variables.

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8 0

2 years ago

A national business magazine reports that the mean age of retirement for women executives is 61.7. A women’s rights organization

Marina CMI [18]

Answer:

The calculated value |Z| = |-2.0375| = 2.0375<2.0541.96 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

Step-by-step explanation:

Given that the mean age of retirement for women, executives is 61.7

Given mean of the Population = 61.7

Given that the size of the sample 'n' = 82

Given that the mean of sample x⁻ = 60.8

Given that the standard deviation 'σ' = 4.0years

Null hypothesis:H₀: μ ≠ 61.7

Alternative Hypothesis: H₁: μ = 61.7

Test statistic

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{60.8-61.7}{\frac{4.0}{\sqrt{82} } }$

Z = -2.0375

|Z| = |-2.0375| = 2.0375< 2.054 at 0.02 level of significance

<u><em>Final answer:-</em></u>

The calculated value |Z| = |-2.0375| = 2.0375 <2.054 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

7 0

3 years ago

If the sidewalks are wet, then it has been raining determine the truth of each conditional

Debora [2.8K]

The hypothesis (If the sidewalks are wet) of this conditional statement is true, but the conclusion (it has been raining) is false.

<h3>What is a conditional statement?</h3>

A conditional statement can be defined as a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, it typically has the form "if P then Q."

Where:

P and Q represent sentences.

<h3>What is a hypothesis?</h3>

In Science, a hypothesis is primarily considered to be a tentative or an educated guess and it can be defined as a testable explanation for an observation or a specific experimentation (scientific) problem, especially by using the "if . . . then . . . because" format..

The hypothesis (If the sidewalks are wet) of this conditional statement is true, but the conclusion (it has been raining) is false. Also, this can be proven with this counterexample "If the sidewalks are wet, then it is cause of an erosion/irrigation."

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8 0

2 years ago