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Pani-rosa [81]
2 years ago
6

4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is

n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same?
Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

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A grocery store sells Swiss cheese for $5.90 a pound. To the nearest cent, what is the cost per ounce of Swiss cheese? Round you
Debora [2.8K]

Answer:

37 cents

Step-by-step explanation:

Given that a grocery store sells Swiss cheese

Rate per pound = 5.90 dollars

1 pound =16 oz,

Hence cost of 16 ounces is given as 5.90

SO cost of one ounce of Swiss cheese =\frac{5/90}{16} =0.36875

Or 36.875 cents

Round off to nearest cent as

37 cents since after decimal digit 8 is more than 5.

Hence answer is 37 cents

8 0
3 years ago
To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much
bearhunter [10]
The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.

Let x be the amount the city contributes.  Since the county contributes twice as much as the city, the county's amount is 2x.  Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.

They total 94,500:
x+2x+4x = 94500
7x = 94500

Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
5 0
3 years ago
I only need help on number 9. Find the value of Y. ​
natima [27]
6y+40=10y-32
8=4y
Y=2
3 0
2 years ago
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
Dafna1 [17]

Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.9, \sigma = 1.4

(a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

Z = \frac{X - \mu}{\sigma}

Z = \frac{3 - 4.9}{1.4}

Z = -1.36

Z = -1.36 has a pvalue of 0.0869

0.0869 = 8.69% probability that the thickness is less than 3.0 mm

(b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{7 - 4.9}{1.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the thickness is more than 7.0 mm

5 0
3 years ago
Producto de (10x+7)(10x-7)
Marat540 [252]

Answer:

(10x−7)^2

Step-by-step explanation:

(10x+7)(10x-7)

i stead of making it a "100" since they are both the same  but positive and negative () and bring it to the power of 2

4 0
2 years ago
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