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Anton [14]
3 years ago
6

In a city, 22 coffee shops are randomly selected, and the temperature of the coffee sold at each shop is noted. Use Excel to fin

d the 90% confidence interval for the population mean temperature. Assume the temperatures are approximately normally distributed. Round your answers totwo decimal places and use increasing order. Temperature 151 158 163 155 155 144 140 148 145 146 158 143 152 167 163 147 170 168 176 164
Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

The confidence interval is (152.03, 159.77)

Step-by-step explanation:

The formula for calculating the confidence interval for a population mean is given by:

\bar{x}\pm \frac{z_{\alpha/2}*s}{\sqrt{n}}

The sample size is actually n = 20.

The sample average is \bar{x}=155.90.

Using excel to calculate the standard deviation we get s = 10.52

The confidence level is 1-\alpha=0.90 therefore \alpha=0.10

We obtain the critical value z_{\alpha/2}=1.65

In Excel I calculated the margin error before calculating the confidence interval. The margin error is given by:

\frac{z_{\alpha/2}*s}{\sqrt{n}}=\frac{1.65*10.52}{\sqrt{20}}=3.87

Now we can calculate the confidence interval.

\bar{x}\pm \frac{z_{\alpha/2}*s}{\sqrt{n}}=155.90\pm3.87=(152.03, 159.77)

Download xlsx
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snow_tiger [21]

Answer: The person's speed is 8 miles per hour.

Step-by-step explanation:

To solve we want to convert the \frac{1}{8} and \frac{1}{64} proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.

\frac{1}{64}×\frac{64}{1} =\frac{64}{64} =1

Since we multiplied that to the number of hours we must also do that for the number of miles.

\frac{1}{8}×\frac{64}{1} =\frac{64}{8} =8

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3 years ago
A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the ang
choli [55]
Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
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3 years ago
Help w this also! please&lt;3
jolli1 [7]

Answer:

equation for line:  y = 5/3x -7/3

Step-by-step explanation:

The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.

Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:

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3 years ago
150=3/5x what does x equal?
svetlana [45]

Answer:

250

Step-by-step explanation:

150/3=50

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7 0
3 years ago
Read 2 more answers
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