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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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Y = 2x + 3 find f(0)
vichka [17]

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maw [93]

Answer:

distance driven < 300 miles.

Step-by-step explanation:

Plan A

She needs the car for 3 days.

1 day costs 60 dollars

3 days cost 60*3 = 180 So this is the maximum amount that she can spend

Plan B

She still needs the car for 3 days

1 day costs 20 dollars of the car does not move

3 days costs 3*20 = 60 dollars.

60 + 0.4m < 180                Subtract 60

0.4m < 180 - 60

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Answer

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Nadusha1986 [10]

Answer:

1. Yes

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Step-by-step explanation:

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Step-by-step explanation:

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The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.

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Let us say we want to estimate the definite integral;

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Now, for any C, f(x) + C is an antiderivative of f′(x).

From fundamental theorem of Calculus, we can say that;

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