Answer:
The least number of tennis balls needed for the sample is 1849.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population proportion is:
The margin of error for this interval is:
Assume that the proportion of all defective tennis balls is <em>p</em> = 0.50.
The information provided is:
MOE = 0.03
Confidence level = 99%
<em>α</em> = 1%
Compute the critical value of <em>z</em> for <em>α</em> = 1% as follows:
*Use a <em>z</em>-table.
Compute the sample size required as follows:
![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.58%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%20%7D%7B0.03%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D1849)
Thus, the least number of tennis balls needed for the sample is 1849.
Answer:
Step-by-step explanation:
6 + 5 + 7 + 1 + 0 = 19
Answer:
Answer: Using the proportions between the segments, the area of the triangles are:
1. Area of triangle ADC is 25 in^2.
2. Area of triangle BDC is 15 in^2.
3. Area of triangle CDE is 12 in^2.
Step-by-step explanation:
Answer:
Mean = 36.67
Median = 36.5
Mode = 38
Step-by-step explanation:
Mean = [(35*8) + (37*7) + (37*4) + (38*9) + (39*2)] / (8+7+4+9+2)
Mean = (280 + 252 + 148 + 342 + 78) / 30
Mean = 1100 / 30 = 36.67
Median = Frequency of 35 and 36 is 15 total. Frequency of 37, 38, and 39 is the remainder 15 total. (36+37)/2 = 36.5
Mode = the most frequently-ocurring number = 38 (frequency of 9)
The result of the mathematical operation 
× is 10.
<h3>How to calculate the result of the operation?</h3>
To calculate the result of this operation we need to perform the following mathematical operations:
* = 
= 
= 10
Learn more about mathematics in: brainly.com/question/15209879
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