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2 years ago

5

Mathematics

1 answer:

deff fn [24]2 years ago

7 0

Answer:

The median Number of touchdowns for team X is less than the median number of touchdowns for team Z

Step-by-step explanation:

The statement, median Number of touchdowns for team X is less than the median number of touchdowns for team Z isn't supported by the boxplot Given :

Median value for Number of touchdowns for team X = 3

Median value for Number of touchdowns for team Z = 2

Since 3 > 2

Then, team X median number of touchdowns is greater than team Z median number of touchdowns.

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2 years ago

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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she

Nataly_w [17]

Answer:

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 1.96\frac{\sigma}{\sqrt{n}}$

$4\sqrt{n} = 1.96\sqrt{\sigma}$

$\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2$

$n = (\frac{1.96\sqrt{\sigma}}{4})^2$

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

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3 years ago

(10 + 3) - (20 ÷ 10) 2 )

Paul [167]

I believe the answer is 9.

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3 years ago

I need help solving this!

blagie [28]

Answer:

miles hybrid car went = 9.80 gal × 54.1 miles/gal

= 530.18 miles

132km × 0.621 = 81.972 miles

530.18 miles = 9.80 gal

1 mile = 9.80/530.18

= 0.018 gal

81.972 miles = 0.018 × 81.972

= 1.515 gal

1.515 gal × 3.785 = 5.734 litres

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3 years ago

A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white?

iogann1982 [59]

Answer:

8/9 (simplified)

Step-by-step explanation:

Total marbles = 18

Total of marbles <em>not</em> white = 16

Numerator = 16 / Denominator = 18

= 16/18

= 8/9 (simplified)

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2 years ago

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