According to the Centers or Disease Control and Prevention, 9.6% of high school students current through (c) below a (a) Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) (b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the high school counselor. 0 A. There is sufficient evidence to conclude that the proportion of high school students exceeds 0.096 at this counselors high school. O B. There is not sufficient evidence to conclude that the proportion of high school students exceeds 0.096 at this counselor's high school o c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O D There is not sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselors high school.

Answers

Answer 1

Answer:

Answer:

c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O

Step-by-step explanation:

Given that according to the Centers or Disease Control and Prevention, 9.6% of high school students current through (c) below a

(a) Determine the null and alternative hypotheses.

$H_0: p =0.096\nH_a : p >0.096$

(right tailed test for proportion of high school students )

b) If the null hypothesis should not be rejected, state the conclusion of the high school counselor.

c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O

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The quality control manager at a light bulb manufacturing company needs to estimate the mean life of the light bulbs produced at the factory. The life of the bulbs is known to be normally distributed with a standard deviation (sigma) of 80 hours. A random sample of 16 light bulbs indicated a sample mean life of 1000 hours. What is a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory

Answers

Answer: (960.80,1039.20)

Step-by-step explanation:

Let X denotes a random variable that represents the life of the light bulbs produced at the factory.

As per given,

$\sigma=80\n\n n=16\n\n \overline{x}=1000$

Critical z-value for 95% confidence interval : z* = 1.96

Confidence interval for population mean:

$\overline{x}\pm z^*(\sigma)/(√(n))\n\n =1000\pm (1.96)(80)/(√(16))\n\n=1000\pm 1.96*(80)/(4)\n\n=1000\pm 1.96*20\n\n=1000\pm39.2\n\n=(1000-39.2,\ 1000+39.2)\n\n=(960.80,1039.20)$

So, a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory = (960.80,1039.20)

Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.What is the smallest possible whole-number length of the unknown side?

Answers

Answer:

The smallest possible whole-number length of the unknown side is $19\ inches$

Step-by-step explanation:

we know that

The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x-----> the length of longest side

Applying the triangle inequality theorem

case A)

$10+15 > x$

$25 > x$

Rewrite

$x< 25$

case B)

$10+x > 15$

$x > 15-10$

$x> 5$

The solution of the third side is the interval-------> $(5,25)$

but remember that

In an obtuse triangle

$x^(2) > a^(2) +b^(2)$

$x^(2) > 15^(2) +10^(2)$

$x > 18.03\ inches$

Round to a whole number

$x= 19\ inches$

10^2 (10 squared) + 15^2 = C^2
100+225=c^2
325=c^2
√325
√25⋅13
√ 25 ⋅√13
5√ 13√325≈18.027756377319946
The whole number would be 5√ 13
It's the converse of the Pythagorean theorem.

5.3 divided by 37.63

Answers

7.1 is the correct answer

0.1408450704That is the answer.

Which function represents the graph?

Answers

Answer:

option 3

Step-by-step explanation:

We know this is a cube-root parent function due to the shape of the curve. Option C moves the graphed function from the origin (0,0) to two units to the left and one unit upward.

Find the perimeter of trapezoid WXYZ with vertices W(2, 3), X(4, 6), Y(7, 6), and Z(7,3). Leave your answer in simplest radical form.