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iren2701 [21]
3 years ago
14

Based upon extensive data from a national high school educational testing program, the standard deviation of national test score

s for critical reading was found to be 115 points. If a sample of 500 students are given the test, what would be the standard error of the mean? (rounded to the nearest 100th)
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

The standard error of the mean is 10.11 points

Step-by-step explanation:

Standard error of mean = t×sd/√n

sd = 115 points, n = 500, degree of freedom = n-1 = 500-1 = 499, assuming a 95% confidence level, t-value corresponding to 499 degrees of freedom and 95% confidence level is 1.96501

Standard error of mean = 1.96501×115/√500 = 10.11 points (to the nearest 100th)

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Assume that thermometer readings are normally distributed with a mean of degrees and a standard deviation of 1.00degrees C. A th
Andrew [12]

Answer:

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0 degrees

Standard Deviation, σ = 1 degrees

We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(Between 0.50 degrees and 1.75 degrees)

P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

7 0
3 years ago
If 7x=3y and 5y=7z then X/Z?
Aleks04 [339]

Answer:

3/5=x/z

Step-by-step explanation:

7x=3y

7(3)=3(7)

21=21

5y=7z

5(7)=7z (plug in the seven from the first step)

35=7z

then divide both sides by 7

5=z

therefore, X/Z=3/5

7 0
3 years ago
Plz answer as soon as possible
Mamont248 [21]
THE FIRST ONE AND THE LAST ONE
3 0
3 years ago
What is 8 3/5 + 4 4/5?
dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: <u>Solve.</u>

8\frac{3}{5} =\frac{43}{5}

4\frac{4}{5} =\frac{24}{5}

From here, add as usual.

\frac{43}{5} +\frac{24}{5} =\frac{67}{5}

Step 3: <u>Conclude.</u>

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

\frac{67}{5} =13\frac{2}{5}

I, therefore, believe the answer to this is 13 2/5.

5 0
2 years ago
How do you use proportions to solve percent problems​
exis [7]

Answer:

Step-by-step explanation:

EXAMPLE #1:

What number is 75% of 4?   (or   Find 75% of 4.)

The PERCENT always goes over 100.

   (It's a part of the whole 100%.)

4 appears with the word of:

   It's the WHOLE and goes on the bottom.

A proportion showing one fraction  with PART as the numerator and 4 as the denominator equal to another fraction with 75 as the numerator and 100 as the denominator.

We're trying to find the missing PART (on the top).

In a proportion the cross-products are equal:   So 4 times 75 is equal to 100 times the PART.

The missing PART equals 4 times 75 divided by 100.

(Multiply the two opposite corners with numbers; then divide by the other number.)

4 times 75 = 100 times the part

300 = 100 times the part

300/100 = 100/100 times the part

3 =   the part

A proportion showing the denominator,  4, times the diagonally opposite 75; divided by  100.

7 0
3 years ago
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