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Alisiya [41]
2 years ago
6

Scores on IQ tests are normally distributed, with a mean of 100 and a standard deviation of 15. What is the score such that 10 p

ercent of people taking the test achieve a higher score
Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

Answer:

103.75 score

Step-by-step explanation:

10 % scored higher than the mean?

 50% is the mean %   so we need to look for the z score corresponding to 60 %    from z-score table   this is z-score of   .25

.25 standard deviations (which is 15)   above 100 =

    .25  * 15       +   100 = 103.75   score

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According to the graph, how much did individuals making $20,000 to $50,000 a year pay in income taxes? According to the graph, h
ryzh [129]

Answer:

$80 billion, $480 billion

Step-by-step explanation:

E2020

3 0
3 years ago
Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%
Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

7 0
3 years ago
11. You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves four
Ludmilka [50]

Answer:

2.5 teaspoon.

Step-by-step explanation:

4 serve recipe need cinnamon = 1 tsp

1 serve recipe need cinnamon = 1/4 tsp

10 serve recipe need cinnamon = 1/4 * 10

                                                      = 10/4

                                                      = 2.5 tsp

7 0
3 years ago
Solve the algebraic equation: 2x + 4 = -16​
lora16 [44]

Answer:

-10

Step-by-step explanation:

subtract 4 from both sides

divide by 2

5 0
3 years ago
Read 2 more answers
Find the intercepts: x+5y= -5
devlian [24]
X=-5 and y=1

you would replace the letter x or y with zero to find the intercept.
5 0
3 years ago
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