What is the first 8 multiples of 4?

A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic

Ket [755]

Answer:

$t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601$

P-value

First we find the degrees of freedom given by:

$df = n-1= 54-1=53$

Since is a two-sided test the p value would be:

$p_v =2*P(t_{53}>0.9601)=0.3414$

Step-by-step explanation:

Data given and notation

$\bar X=5.25$ represent the sample mean

$s=3.98$ represent the sample standard deviation

$n=54$ sample size

$\mu_o =4.73$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean differs from 4.73, the system of hypothesis would be:

Null hypothesis: $\mu =4.73$

Alternative hypothesis: $\mu \neq 4.73$

Since we know don't the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601$

P-value

First we find the degrees of freedom given by:

$df = n-1= 54-1=53$

Since is a two-sided test the p value would be:

$p_v =2*P(t_{53}>0.9601)=0.3414$

7 0

3 years ago

South Jeff Middle School is raising money for a local charity. Their goal is to raise $500 by their holiday break. If they have

xxTIMURxx [149]

They should earn 50$ each day because 50x100=500

6 0

3 years ago

To celebrate the first day of winter, Lin was putting stickers on some of the lockers. There are 100 lockers along one side of h

loris [4]

Answer:

24, 48, 72, 96

Step-by-step explanation:

Least Common Multiple (LCM)

It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:

Multiples of 15: 15,30,45,60,75,90,...

Multiples of 25: 25,50,75,100,...

Note 75 is a common multiple of both and is also the smallest possible.

Lin puts a snowflake sticker every 6 lockers and a snowman sticker every 8 lockers. To find the lockers where both stickers are places, we must find the LCM of 6 and 8:

6 = 2*3

8 = 2*2*2

Multiplying the common factors the maximum number of times it appears:

LCM = 2*2*2*3 = 24

Thus, every 24 lockers there are two stickers until Lin reaches the last 100th locker along the halfway.

The sequence of lockers is:

24, 48, 72, 96

7 0

3 years ago

Ms. Mcmillan made her famous carrot shaped cakes for spring festival cookie tasting contest However, she only made 8 cookies. Wh

umka2103 [35]

She would have 24 peace’s or cookies

7 0

4 years ago

Explanation only one sentence

Scorpion4ik [409]

There will be about 140 million people in 2003

4 0

3 years ago