1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kifflom [539]
2 years ago
15

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

ation of .4 billion years. (Their ages are approximately normally distributed.) You think the mean age is actually greater, and that this would lend support to an alternative theory about how the clusters were formed. You use a computer to randomly select the coordinates of 50 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.4 billion years.
To test whether the population mean is greater than 3.3 billion years, what would your null and alternative hypothesis be?
Mathematics
1 answer:
Luden [163]2 years ago
6 0

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  

You might be interested in
Chicago has a temperature of -8°F. Seattle has a temperature colder than Chicago. Select all value that could represent the temp
mihalych1998 [28]

Answer:

-10°F, -13°F, and -21°F

Step-by-step explanation:

we are looking for a temperature that is less than -8

-10°F, -13°F, and -21°F are all less than -8

4 0
2 years ago
Adam currently runs about 20 miles per week,aND he wants to increase his weekly mileage by 40% How many miles will Adam run per
Afina-wow [57]

28 miles

increasing by 40% = original + increase = 100 + 40 = 140% = 1.4

multiplying 20 by 1.4 gives total he will run

miles run = 1.4 × 20 = 28


3 0
2 years ago
Read 2 more answers
Suppose you take the small prism and stack it on top of the larger prism. What will be the volume of the composite figure?
Degger [83]
Find the volume of the first figure, then find the volume of the second figure, then add them together.
V=lwh
V(1)=(15)(12)(6)
= 1,080in^3
V(2)=(12)(6)(6)
= 432in^3
--------------------------------------------
1,080+432= 1,512 in^3
--------------------------------------------
Your answer should be 1,512
3 0
3 years ago
A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at mo
kkurt [141]

Answer:

10020

Step-by-step explanation:

6 0
2 years ago
Add. Write your answer using rectangular coordinates. -3∠-30° + 9∠32°
sukhopar [10]

(-3*cos30,-3*sin30)+(9*cos32,9*sin32)

but we don't have sin,cos32. are you sure it's 32? or 30?

4 0
3 years ago
Other questions:
  • A builder purchases 600 bricks for a new residential construction. The dimensions of each brick are 5.1 cm by 10.2 cm by 20.3 cm
    9·2 answers
  • Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5
    12·1 answer
  • Hank uses 7 scrambled eggs to make 4 breakfast burritos.how many breakfast burritos does he make with 21scrambled eggs
    5·2 answers
  • This question is only for boys<br> what are the signs that a boy likes you
    9·2 answers
  • What is the value of g in 1/3s + 14 = 26
    13·2 answers
  • FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP
    5·1 answer
  • The large pizza is 16 inch what the circumference plz help
    12·1 answer
  • HELP ME ASAP PLEASE SOMEONE :(
    8·1 answer
  • What is midpoint of A(2, 3) and B(-2, 5)?
    11·1 answer
  • Finding the area of this parallelgram
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!