The product of (n2 – 6n + 3) and -4n is ? When this product is multiplied by -n, the result is ?

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

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

t 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

2 years ago

15s^11-25s^4 factorised plz tell me. :)

saveliy_v [14]

For the numeric part, you'll have to find the GCD of 15 and 25, which is 5. So, we can factor a 5 and we have

$5(3s^{11}-5s^4)$

As for the literal part, you can factor $s^4$ because it's the power of s with the smallest denominator. So, we have

$5s^4(3s^7-5)$

8 0

2 years ago

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how

NARA [144]

Answer:

The number of teenagers in the stratified sample of equal proportion is 30 teenagers

Step-by-step explanation:

Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups

Group 1: Female adult

Group 2: Male adult

Group 3: Teenage boys

Group 4: Teenage girls

In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population

Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;

Number of groups identified = 4

Sample size = 30

Appropriate proportion of each group = 1/4

Number of teenage boys in the sample = 1/4×30 = 15

Number of teenage girls in the sample = 1/4×30 = 15

Total number of teenagers in the sample = 15 + 15 = 30 teenagers.

5 0

3 years ago

Read 2 more answers

Double my number add four subtract my number and subtract three

Elena L [17]

X is your number

double it means 2 times x or 2x

add 4
2x+4

subtract my number
2x+4-x=x+4

subtract 3

x+4-3=x+1

the result is x+1 or your number plus 1

3 0

3 years ago

What is the radius and diameter of the following circle?

alexandr1967 [171]

Diameter= 18cm

Radius is half of diameter

Radius=9cm

7 0

3 years ago