What fraction is 20 min of 3 hours? Answer in simplest form

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sampl

kompoz [17]

Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at $\alpha =0.001$ is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 18$

The sample size is $n = 15$

The sample mean is $\= x = 19$

The standard deviation is $\sigma = 1.7$

The level of significance is $\alpha = 0.001$

The null hypothesis is $H_o: \mu = 18$

The alternative hypothesis is $H_a : \mu > 18$

The critical value of the level of significance from the normal distribution table is

$Z_{\alpha } = 3.290527$

The test hypothesis is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 19 - 18}{ \frac{1.7}{ \sqrt{15} } }$

$t = 2.28$

Looking at the value of t and $Z_{\alpha }$ we can see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to support the professor believe

3 0

3 years ago

What is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Phantasy [73]

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

6 0

3 years ago

Susan purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Susan paid

Monica [59]

N4=c

n times 4, n being a number of notebooks, would equal c, or the overall cost.

4 0

3 years ago

I need help with this problem and would really appreiciate a short explanation too. 15 PTS

inysia [295]

okay. the point has an x and y value. place them into the equation.

1=m(1)+b

m=slope, and theequation tells you that slope is 7.

1=7(1)+b

now you need to figure out what b is.

1=7(1)+b

^

1= 7 +b

-7 -7

---------------

-6=B

b is 6. now place it into the equation, replacing the x and y values back.

y=7x-6.

write 7 and 6 in the boxes (the negative for the six has already been provided)

8 0

3 years ago

Consider parallelogram VWXY below.

nirvana33 [79]

Answer:

56°, 84°, 3 units

Step-by-step explanation:

Properties of a parallelogram

Two adjacent angles are supplementary
Opposite angles are congruent
Opposite sides are parallel and congruent

Use the properties to find the required parameters

1) Find m∠YXV

m∠YXV + m∠VXW + m∠VWX = 180°
m∠YXV + 40° + 84° = 180°
m∠YXV = 180° - 124°
m∠YXV = 56°

2) Find m∠Y

m∠Y = m∠W = 84°

3) Find x

2x = 6
x = 6/2
x = 3

4 0

2 years ago

Read 2 more answers