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Hoochie [10]
2 years ago
11

the standard deviation of 100 random samples of the same size is approximated to be 0.98. what is the margin of error​

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

MOE= ± 0.098

Step-by-step explanation:

-The margin of error is calculated using the formula:

MOE=\pm \frac{\sigma}{\sqrt{n}}

#Substitute to solve for MOE:

MOE=\pm \frac{\sigma}{\sqrt{n}}\\\\=\frac{0.98}{\sqrt{100}}\\\\=\pm 0.098

Hence, the margin of error is ± 0.098

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Rachel recorded the number of calls she made at work during the week:
Dmitry [639]

The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

<h3>What is the chi-squared test statistic?</h3>

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

\sum \frac{(O_i-E_i)^2}{E_i } \\\\

Where,

\rm O_i is the observed value

\rm E_i is the expected value

The chi-square test statics is;

\rm( \frac{18-18}{18} )^2 +( \frac{14-18}{18} )^2 + (\frac{24-18}{18} )^2+( \frac{16-18}{18} )^2 \\\\ 0+ \frac{16}{18}+ \frac{36}{18} +\frac{4}{18}\\\\ \frac{56}{18} \\\\ 3.11

Hence, the chi-squared test statistic will be 3.11.

To learn more about the chi-squared test statistic refer;

brainly.com/question/14082240

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5 0
2 years ago
In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 squ
weqwewe [10]

Answer:

C. The sum of the areas of the two smaller squares is equal to the area of the larger square.

Step-by-step explanation:

9 + 16 = 25

36 + 64 = 100

25 + 144 = 169

The relations "less than" and "greater than" can be ruled out. These observations are consistent with selection C.

The triangle area is half the product of the square roots of the squares on the legs, so the areas of the triangles are (respectively) 6, 24, 30. These are not related to the sum of the smaller squares, so the last selection can also be ruled out.

7 0
3 years ago
Read 2 more answers
The solution set to the inequality y&lt;2x - 4 are shaded on the graph. Which point is a solution
BaLLatris [955]

Any set of numbers (x, y) for which this inequality is true is a solution.

For example, the point (1, -5) is a solution because fitting it into the inequality gives us

<u>- 5 < - 2</u>   which is true.

However, the point (3, 5) wouldn't be a solution because it would give us the inequality

<u>5 < 2</u>    which is not true.

6 0
3 years ago
You bought a bag of tamales and one of your friends ate 1/5 of the entire bag and another friend ate 1/3 of the whole bag. How m
Serggg [28]

Answer:

There is 7/15 left in the bag

Step-by-step explanation:

So, you need to find a common denominator between 3 and 5 which is 15

multiply the numerator and the denominator by 3 in 1/5. Then, multiply the numerator and the denominator by 5 in 1/3.

1/3*5=5/15

1/5*3=3/15

Add them together.

5/15+3/15=8/15

Lastly, subtract 15/15 by 8/15

15/15-8/15=7/15

3 0
3 years ago
Dividing the sum of 3 7/8 and 2 11/16 by 5/8 yields which value?
Vladimir [108]
3 7/8 + 2 11/16= 6 9/16
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