amy brought a bag of fruit of snacks to school, the bag hel 60 fruit snacks and amy ate 35% of them during lunch, how many fruit
1 answer:
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The last equation immediately tells you that
So you have
Dividing the second equation by the first, you end up with
Because the argument's cosine is negative and its sine is positive, you know that
However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by
All this to say
So,
Answer:
Null hypothesis :
Alternative hypothesis:
And for this case a type of error I for this case would be reject the null hypothesis that the population mean is lower or equal than 0.4 when actually is true.
A Type I error would occur if, in fact, μ ≤ 0.4 ppm, but the results of the sampling lead to the conclusion that μ > 0.4 ppm
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Type I error, also known as a “false positive” is the error of rejecting a null hypothesis when it is actually true. Can be interpreted as the error of no reject an alternative hypothesis when the results can be attributed not to the reality.
Type II error, also known as a "false negative" is the error of not rejecting a null hypothesis when the alternative hypothesis is the true. Can be interpreted as the error of failing to accept an alternative hypothesis when we don't have enough statistical power
Solution to the problem
For this case we are trying to check the following hypothesis:
Null hypothesis :
Alternative hypothesis:
And for this case a type of error I for this case would be reject the null hypothesis that the population mean is lower or equal than 0.4 when actually is true.
A Type I error would occur if, in fact, μ ≤ 0.4 ppm, but the results of the sampling lead to the conclusion that μ > 0.4 ppm