Length of movie projected at 24 frames per second:l=24f.solve for f

The NCAA is interested in estimating the difference in mean number of daily training hours for men and women athletes on college

hammer [34]

Answer:

$s^2_p = \frac{9*0.3^2 +9*0.4^2}{10+10-2}=0.125$

$s_p =\sqrt{0.125}=0.354$

$(2.7 -2.4) - 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=-0.032$

$(2.7 -2.4)+ 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=0.632$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data given

$\bar X_M = 2.7$ represent the sample mean for men

$\bar X_F = 2.4$ represent the sample mean for women

$s_M = 0.3$ represent the sample deviation for men

$s_F = 0.4$ represent the sample deviation for women

$n_M = 10$ sample size of male

$n_F =10$ sample size of women

The confidence interval is given by:

$(\bar X_M -\bar X_F) \pm t_{\alpha/2} S_p \sqrt{\frac{1}{n_M}+\frac{1}{n_F}}$ (1)

The polled variance can be calculated with this formula:

$s^2_p = \frac{9*0.3^2 +9*0.4^2}{10+10-2}=0.125$

$s_p =\sqrt{0.125}=0.354$

For a confidence of 95% the value for the significance is $\alpha=1-0.95=0.05$ and $\alpha/2 = 0.025$ , the degrees of freedom are given by:

$df = n_M + n_F -2= 10+10-2=18$

And the critical value can be calculated with the following formula in excel: "=T.INV(1-0.025,18)" and we got $t_{\alpha/2}=2.1$

Now we can replace into the confidence interval:

$(2.7 -2.4) - 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=-0.032$

$(2.7 -2.4)+ 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=0.632$

6 0

3 years ago

Suppose you are managing 17 employees, and you need to form three teams to work on different projects. assume that all employees

Korvikt [17]

To form the first group, we can choose from a group of 17 people.
$\text{First group: } ^{17}C_6 = 12376$

To form the next group, we need to consider how many people are left (17 - 6 = 11)
So, from a group of 11 people, we can have 3 people in it.
$\text{Second group: } ^{11}C_3 = 165$

There is only one way to group the last 8 people. Thus, they are going to be 1 group.

BUT we would have overcounted because of the fact that they can be chosen in different ways. This is because they are not distinct groups or ordered groups. For example, the third group can be chosen first, the second can be chosen last, etc.

So, to counter this, we need to divide by 3!

$\text{Total arrangements: }\frac{12376 \cdot 165}{3!} = 340340$

There are 340, 340 ways.

3 0

3 years ago

What’s the answer???

Korvikt [17]

Answer:

dude unit test reviews dont matter you can fail that and move on

Step-by-step explanation:

5 0

2 years ago

Roxanne set a goal o drinking 2.5 liters of water each day.By 10:00 a.M., she drank 3/4 liter, and at lunch she had another 600

dimaraw [331]

Answer:

She has to drink 0.05 liters more

Step-by-step explanation:

She has to drink 2.5 liters of water each day.

The total amount of water she drank is

3/4 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

0.75 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

2.45 liters + x liters = 2.5 liters

x liters = 2.5 liters - 2.45 liters

x liters = 0.05 liters

She has to drink 0.05 liters more or has not drunk 0.05 liters.

If she drinks 0.05 liters more she will reach her set goal.

3/4 liters

1 liter= 1000ml

3/4 liters= 3* 1000/4 ml

3/4 liters= 3000/4 ml

3/4 liters= 750 ml

750 ml/ 1000ml = 0.75 liters

6 0

3 years ago

If 2 1/4 pounds of bananas cost $ 1.89 what is the cost per pound?

bonufazy [111]

2 1/4 = 2.25

1.89 / 2.25 = 0.84 per lb <== 84 cents per lb

5 0

3 years ago