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earnstyle [38]
2 years ago
15

In a random sample of five mobile​ devices, the mean repair cost was ​$90.00 and the standard deviation was ​$14.00. Assume the

population is normally distributed and use a​ t-distribution to find the margin of error and construct a 95​% confidence interval for the population mean. Interpret the results.The 95 % confidence interval for the population mean is ______(Round to two decimal places as needed.) The margin of error is ______ (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. A. If a large sample of microwaves is taken approximately 95 percent of them will have repair costs between the bounds of the confidence interval. B. With 95 percent confidence, it can be said that the repair cost is between the bounds of the confidence interval. C. It can be said that 95 percent of microwaves have a repair cost between the bounds of the confidence interval. D. With 95 percent confidence, it can be said that the population mean repair cost is between the bounds of the confidence interval. E. The 95 percent confidence interval for the population mean repair cost is between the bounds of the confidence interval.
Mathematics
1 answer:
aniked [119]2 years ago
8 0

Answer:

The correct option is;

B. With 95 percent confidence, it can be said that the repair cost is between the bounds of the confidence interval

Step-by-step explanation:

Here we have the formula for confidence interval, CI given as follows;

CI=\bar{x}\pm t\frac{s}{\sqrt{n}}

Where:

\bar x = Sample mean = $90.00

s = Sample standard deviation = $14.00

n = Sample size = 5

t = z value for the confidence level = 2.7764 from z-score relations

Plugging in the values, we have;

CI=90.00\pm 2.7764 \frac{14.00}{\sqrt{5}}

Which gives the CI as 72.6167 to 107.38.

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A box and whisker plot is a type of statistical graph that shows the median distributions of the data set. The box represents the data median and the medias of the quartiles. The whiskers represents the lines extended from the box to the lowest and the highest data.

Take this data as an example:
<span>3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4,  4.4,  4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1
</span>First, find the middle value. That would be the median. In this case, that would be 4.4. Let's denote this as Q₂ or Quartile 2. Now, take the group of data set before and after the median. These are:

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The middle of the first data set is Q₁ = 4.3, while the middle of the second set is Q₃ = (4.7+4.8)/2 = 4.75

To construct the box and whisker plot, create line for the lowest value 3,9, Q₁, Q₂, Q₃ and the highest value, 4.4. The left side of the box would be Q₁, while the right side of the box is Q₃. The line in between is the media Q₂. The whiskers are the lines connecting the lowest to Q₁, and Q₃ to the highest on the other side. The resulting box and whisker plot is shown in the attached picture.

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vodomira [7]

Answer: C


Step-by-step explanation:


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poizon [28]

Answer:

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To determine the lateral surface area of the prism, let us use the formula  

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Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

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I have done this for you below.

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