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2 years ago

2. Five students reported the amount of time (in minutes) they spent studying for an AP Statistics test the night

Mathematics

1 answer:

8090 [49]2 years ago

5 0

Answer:

Step-by-step explanation:

a) Standard deviation of 10 mean the fluctuation for values range from +10 to -10 from the mean.

b) Since the sixth student is 50 minutes, which is higher than the mean of 45 minutes, this will bring the over all mean higher that 45 minutes. Also, since 50 falls within the standard deviation range (35 to 55), this mean the new standard deviation will be smaller than 10.

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have $X = 85.1, \mu = 61.1, \sigma = 12$ . So

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

$Z = \frac{85.1 - 61.1}{12}$

$Z = 2$

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have $X = 299.2, \mu = 264, \sigma = 22$ .

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

$Z = \frac{299.2 - 264}{22}$

$Z = 1.6$

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have $X = 7.26, \mu = 7.1, \sigma = 0.4$ .

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

$Z = \frac{7.26 - 7.1}{0.4}$

$Z = 0.4$

Due to the higher Z-score, Demetria should be offered the job.

3 0

3 years ago

What is 2.8 as a fraction in simpliest form

Leto [7]

<span>2 4/5 or 14/5. Hope that helps! :D

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6 0

3 years ago

Read 2 more answers

Please help with the question above :)!!! ^^

zhannawk [14.2K]

(-1,-9) because if we substituted 1 into x y would be 9 and if we substituted 1/2 into x y would be 3 but if we substituted -1 into x y would be 1/9 so therefore that value is incorrect

7 0

3 years ago

The heights (in inches) and pulse rates (in beats per minute) for a sample of 40 women were measured. Using technology with the

Viktor [21]

Answer:

There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women

Step-by-step explanation:

The correlation coefficient between the variables h(height in inches) and pulse rates (in beats per minute) is 0.202

Sample size n=40

Level of significane alpha = 0.01

Create null and alternate hypothesis as:

H0: r=0

Ha: r not equal 0

(Two tailed test at 1% significance level)

Sample r = 0.202

r difference = 0.202

test statistic t = $\frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=\frac{0.202(\sqrt{38} )}{\sqrt{0.9592} } \\=\frac{1.25}{0.9794} \\=1.271$

df =n-2 =38

t critical value for 0.01 and df =38 is 2.704

Since our test statistic lies below 2.704, we accept null hypothesis

There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women

7 0

3 years ago

Anyone know the answer???

Umnica [9.8K]

Answer:

k = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

115 = (4k+5) + (6k+10)

Combine like terms

115 = 10k+15

Subtract 15 from each side

115-15 = 10k +15-15

100 = 10k

Divide by 10

100/10 = 10k/10

10 =k

8 0

3 years ago