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
Liono4ka [1.6K]
3 years ago
5

Change 0.307 to a percent

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0
It would be 30.7% because when you change a decimal to a percent, the decimal point moves 2 places to the right. For a percent to a decimal, move the decimal point 2 places to the left
You might be interested in
What are two consecutive integers of 184
Julli [10]
43, 45, 47, and 49 are a few I hope this helps
6 0
3 years ago
Express each equation in the form y = mx + b: 5x + y – 3 = 0
Aleks [24]

Answer:24

Step-by-step explanation:

7 0
3 years ago
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
Alexxx [7]
The equation for the area of a triangle is 1/2 x base x height. Plug in the values that you already have with h being the missing height value: 30= 1/2 x 12 x h Simplify: 30=6h Solve: 30/6=h 5=h The heoght of the triangle is 5 units
7 0
3 years ago
Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants
garri49 [273]

0.4% can be written as 0.004 in decimal.

Step-by-step explanation:

Let the total amount she wants to save be 'a'

Starting amount = 0.4% of the total amount

= 0.4% of a

= (0.4/100) a

0.4% = 0.4/100

= 0.004

0.4% can be written as 0.004 in decimal.

5 0
3 years ago
Suppose that a random sample of 10 newborns had an average weight of 7.25 pounds and sample standard deviation of 2 pounds. a. T
frosja888 [35]

Answer:

z=\frac{7.25-7.5}{\frac{1.4}{\sqrt{10}}}=-0.565  

p_v =P(Z  

a) If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true average is not significantly less than 7.5.  

b) \chi^2 =\frac{10-1}{1.96} 4 =18.367  

p_v =P(\chi^2 >18.367)=0.0311

If we compare the p value and the significance level provided we see that p_v >\alpha so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 1.96.

Step-by-step explanation:

Assuming this info: "Suppose birth weights follow a normal distribution with mean 7.5 pounds and standard deviation 1.4 pounds"

1) Data given and notation  

\bar X=7.25 represent the sample mean  

s=1.2 represent the sample standard deviation

\sigma=1.4 represent the population standard deviation

n=10 sample size  

\mu_o =7.5 represent the value that we want to test  

\alpha=0.05,0.01 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)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is less than 7.5, the system of hypothesis would be:  

Null hypothesis:\mu \geq 7.5  

Alternative hypothesis:\mu < 7.5  

Since we know the population deviation, 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".  

3) Calculate the statistic  

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

z=\frac{7.25-7.5}{\frac{1.4}{\sqrt{10}}}=-0.565  

4)P-value  

Since is a left tailed test the p value would be:  

p_v =P(Z  

5) Conclusion  

Part a

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true average is not significantly less than 7.5.  

Part b

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=10 represent the sample size

\alpha=0.01 represent the confidence level  

s^2 =4 represent the sample variance obtained

\sigma^2_0 =1.96 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance increase, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \leq 1.96

Alternative hypothesis: \sigma^2 >1.96

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

\chi^2 =\frac{10-1}{1.96} 4 =18.367

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 9. And since is a right tailed test the p value would be given by:

p_v =P(\chi^2 >18.367)=0.0311

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(18.367,9,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that p_v >\alpha so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 1.96.

4 0
3 years ago
Other questions:
  • an office space in new-york city measures 48 by 56. if it sells for 565 per square foot, what is the total cost of the office sp
    15·1 answer
  • A parcel delivery company delivered 103,000 packages last year, when its average employment was 84 drivers. This year the firm h
    5·1 answer
  • A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude
    14·1 answer
  • If the relationship is proportional, what is the missing value from the table? x y –3 –1 –12 ? –30 –10 –8 –6 –5 –4
    6·2 answers
  • Measure angle CHF when angle BGE is 110°
    6·1 answer
  • A solid wooden block in the shape of a rectangular prism has a length, width and height
    10·1 answer
  • HELP ASAP!!!! WILL GIVE BRAINLIEST! Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and
    13·2 answers
  • In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average nu
    10·1 answer
  • 213 (2 significant figures) ​
    9·1 answer
  • Identify the vertex of the graph. Tell whether it is a minimum or maximum.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!