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Studentka2010 [4]
2 years ago
13

b. Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Mathematics
1 answer:
Ksivusya [100]2 years ago
6 0

Answer: 48 minutes

Step-by-step explanation:

Han spent 75 minutes practicing the piano.

Tyler spent only 64% as much as that. How long did Tyler practice:

= 75 * 64%

= 48 minutes

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3 years ago
At a university, 60% of the 7,400 students are female. The student newspaper reports the results of a survey of a random sample
omeli [17]

Given Information:

Population mean = p  = 60% = 0.60

Population size = N = 7400

Sample size = n = 50

Required Information:

Sample mean = μ = ?

standard deviation = σ = ?

Answer:

Sample mean = μ = 0.60

standard deviation = σ = 0.069

Step-by-step explanation:

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

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The mean of the sampling distribution will be same as population mean that is

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The standard deviation for this sampling distribution is given by

\sigma = \sqrt{\frac{p(1-p)}{n} }

Where p is the population mean that is proportion of female students and n is the sample size.

\sigma = \sqrt{\frac{0.60(1-0.60)}{50} }\\\\\sigma = \sqrt{\frac{0.60(0.40)}{50} }\\\\\sigma = \sqrt{\frac{0.24}{50} }\\\\\sigma = \sqrt{0.0048} }\\\\\sigma =  0.069

Therefore, the standard deviation of the sampling distribution is 0.069.

4 0
2 years ago
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5 0
2 years ago
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