Please answer if your know

A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known

Ipatiy [6.2K]

Answer:

(a) The population parameter is students who ran the mile in less than 10 minutes.

(b) The hypothesis being tested is:

H0: p = 0.70

Ha: p < 0.70

(c) The significance level is 0.05.

(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:

The data are a simple random sample from the population of interest.

The population is at least 10 times as large as the sample.

n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.

n⋅p = 756 * 0.70 ≥ 10

n⋅(1−p) = 756 * (1 - 0.70) ≥ 10

All the conditions are met.

(e) p = 504/756 = 0.67

The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00

(f) The p-value is 0.0228.

(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.

(h) Therefore, we can conclude that less than 70% of students run one mile in less than 10 minutes.

Step-by-step explanation:

7 0

3 years ago

The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same

san4es73 [151]

Answer:

Step-by-step explanation:

$Z=\frac{x-mu}{\sigma }$

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

Z= $\frac{72-64}{2.7} =2.963$

b) Y = 72"

z= $\frac{72-69.3}{2.8} =0.965$

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

Z< $\frac{65-69.3}{2.8} =-1.536$

e) X>73"

Z> $\frac{73-64}{2.7} =3.33$

Almost 0% can be taken

f) IQR =Q3-Q1

Z scores =

5 0

3 years ago

Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va

andrew11 [14]

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

$1(x^{2} ?6x+9)-9+14$

Upon completing the square and combining like terms we will get,

$1(x?3)^{2} +5$

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

8 0

3 years ago

Paige earns $15.50 per hour and works 20 hours each week. She gets a 10% raise and decides to save 20% of her paycheck for a new

Sindrei [870]

Answer: b

Step-by-step explanation:

7 0

2 years ago

The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rect

Yuki888 [10]

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

5 0

2 years ago