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Musya8 [376]
3 years ago
12

Please help! I need help with these three problems. thank you!

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
24.2%
12.5/100
.1825 and 18.25/100
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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
PLEASEEE HELPPPP!!! I NEED HELP
seropon [69]

Okay hold on. I’m trying to figure this question out. I will help you!

7 0
3 years ago
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Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:
Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

m =  \frac{rise}{run}

m =  \frac{ - 4.5 -  - 3}{2 -  - 4}  =  \frac{ -  1.5}{6}

m =  -  \frac{1}{4}

The y-intercept can be obtained by finding the equation of the line in the form:

y = mx + c

We plug in the slope and the point (-4,-3) to find c.

This implies that,

- 3 =  -  \frac{1}{4}  \times  - 4 + c

- 3 = 1 + c

c =  - 3 - 1 =  - 4

Hence the y-intercept is -4.

The given line is

y =  \frac{3}{2} x + 1

This is already in the slope intercept form:

The slope is

m =  \frac{3}{2}

The y-intercept is c=1

5 0
3 years ago
Read 2 more answers
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katovenus [111]

Answer:

The car gets 30 miles to the gallon.  After the car has traveled 80 miles , 2 2/3 gallons have been consumed.

Step-by-step explanation:bro trust me

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3 years ago
A line with a slope of -3 that passes through the point (-2, 6)
scZoUnD [109]
I believe the equation is y = -3x + 0
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2 years ago
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