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kolezko [41]
3 years ago
12

What is -13 over -10 written as a decimal

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0
Your answer is 1.3, i hope this helped, tell me if you need more help
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5x divided by 6 =20 what is the value of x??
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x = 24

Step-by-step explanation:

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A random sample of 21 observations is used to estimate the population mean. The sample mean and the sample standard deviation ar
stepladder [879]

Answer:

a. CI=[128.79,146.41]

b. CI=[122.81,152.39]

c. As the confidence level increases, the interval becomes wider.

Step-by-step explanation:

a. -Given the sample mean is 137.6 and the standard deviation is 20.60.

-The confidence intervals can be constructed using the formula;

\bar X\pm \ z\frac{s}{\sqrt{n}},

where:

  • s is the sample standard deviation
  • z is the s value of the desired confidence interval

we then calculate our confidence interval as:

\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.05/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm1.960\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm8.8108\\\\\\=[128.789,146.411]

Hence, the 95% confidence interval is between 128.79 and 146.41

b. -Given the sample mean is 137.6 and the standard deviation is 20.60.

-The confidence intervals can be constructed using the formula in a above;

\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.01/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm3.291\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm 14.7940\\\\\\=[122.806,152.394]

Hence, the variable's 99% confidence interval is between 122.81 and 152.39

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-Since, the sample size is particularly small, a wider confidence interval is necessary to increase the margin of error.

-The 99% Confidence interval is the most appropriate to use in such a case.

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4 years ago
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