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4 years ago

4) Given the following set of data, what is the

Mathematics

1 answer:

Helen [10]4 years ago

5 0

Answer:

x = 11

Step-by-step explanation:

Median = The middle value of the set

There are 8 data values in the data set. You can split it up by 2 in order to get 4 and 4. There are two middle numbers that make up the median

3 4 7 9 x 12 14 18

We know that in order to find the median, we have to divide the two numbers by 2. If the median is 10, 10 by 2 equals 20. 9 plus 11 equals 20,

3 4 7 9 11 12 14 18

x = 11

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A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th

Burka [1]

Answer:

Confidence interval : $21.506$ to $24.493$

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = $\bar{x}=\frac{\sum x}{n}$

Sample mean = $\bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}$

Sample mean = $\bar{x}=23$

Sample standard deviation = $\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Sample standard deviation = $\sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}$

Sample standard deviation= s = $1.72$

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table $t_{\frac{\alpha}{2}$ = 3.883

Formula of confidence interval : $\bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}$

Substitute the values in the formula

Confidence interval : $23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $23 -3.883 \times \frac{1.72}{\sqrt{20}}$ to $23 + 3.883 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $21.506$ to $24.493$

Hence Confidence interval : $21.506$ to $24.493$

3 0

4 years ago

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A polyhedron with two parallel congruent faces called bases connected by parallelogram faces is called a...

lisov135 [29]

Answer:

right prism

Step-by-step explanation:

If the faces are rectangles, then this prism is called a "right prism"

4 0

3 years ago

1/3(4 + 18)-2² PLIS I need help :(

liraira [26]

Answer:

10/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

1/3(4 + 18) - 2²

Step 2: Evaluate

(Parenthesis) Add: 1/3(22) - 2²
Exponents: 1/3(22) - 4
Multiply: 22/3 - 4
Subtract: 10/3

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3 years ago

Sylvia has a circular table cloth. The area of the table cloth is 254.34 in2

yaroslaw [1]

Answer:

The answer is C

Step-by-step explanation:

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3 years ago

What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = 1

Damm [24]

The answer is 5 hope this helps

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3 years ago

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