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lozanna [386]
3 years ago
12

The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis

test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
6 0

Answer: D) the significance level of the test

=======================================================

Explanation:

The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.

The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.

If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".

Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).

salantis [7]3 years ago
4 0

Answer:

D on edge

Step-by-step explanation:

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madreJ [45]

Answer:

For this case we have the following info related to the time to prepare a return

\mu =90 , \sigma =14

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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And the standard deviation would be:

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And the best answer would be

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we have the following info related to the time to prepare a return

\mu =90 , \sigma =14

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard deviation would be:

\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2

And the best answer would be

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creativ13 [48]
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A parent volunteer group is raising money by making custom hats to sell at school activities.they plan to sell the hats for $10.
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Answer:

Money raised($)= 6n-50

Step-by-step explanation:

they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.

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If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost

Money raised = money from sales- cost

Money raised= 10n -4n-50

Money raised($)= 6n-50

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Answer:

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Step-by-step explanation:

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Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formul
saveliy_v [14]

Answer:

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