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Alex Ar [27]
2 years ago
13

Sabine records the daily heights of a random sample of bamboo stalks, in inches. They are:

Mathematics
2 answers:
Kisachek [45]2 years ago
7 0

Answer:

Step-by-step explanation:

13.71

Step-by-step explanation:

Given the data as : 13 , 17, 9, 21

Finding the mean of the data;

sum of data set =13+17+9+21=60

Number of data set ,n,= 4

Mean= sum/n =60/4 =15

Finding the deviation from the mean

13-4=9

17-4=13

9-4=5

21-4=17

Squaring the deviations from mean

9²=81

13²=169

5²=25

17²=289

Adding the squares of deviations from the mean

81+169+25+289 =564

Finding n-1

4-1=3

Finding variance

564/3 =188

Finding the standard deviation

√188 = 13.71

Sloan [31]2 years ago
7 0

Answer:

sample variance: option A

sample standard deviation: option B

Step-by-step explanation:

Given that we want to analyze a sample, then we need the sample variance formula and the sample standard deviation. The standard deviation is calculated by taking the square root of the variance. With sample \bar{x}, sample mean, is used, instead of \mu, the mean of the population.

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Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores o
otez555 [7]

Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

Z-score:

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.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So X = 52, \mu = 70, \sigma = 11

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Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So X = 52, \mu = 64, \sigma = 6

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

Z = \frac{52 - 64}{6}

Z = -2

Due to the higher z-score, David has the higher standardized score

3 0
2 years ago
Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions are 2 inches long by 5 inch
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Step-by-step explanation:

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P = \rho gh

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F = PA = \rho ghs/2

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\rho ghs/2 \leq 200

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