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
Paladinen [302]
3 years ago
10

You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

interval for the mean systolic blood pressure for the employees of this company is (122, 138). Which of the following statements gives a valid interpretation of the confidence level?
a. 95% of the sample of employees have a systolic blood pressure between 122 and 138.
b. 95% of the population of employees have a systolic blood pressure between 122 and 138.
c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.
d. The probability that the population mean blood pressure is between 122 and 138 is .95
Mathematics
1 answer:
Alla [95]3 years ago
6 0

Answer:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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 % where by 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".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=25-1=24  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.06  

Now we have everything in order to replace into formula (1), for this case we got:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

You might be interested in
A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after
9966 [12]

Answer:

the area after 6 years is  3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is  3,473 km^2

5 0
3 years ago
The temperature was 8℉. It dropped so that the temperature was 0℉. What integer represents the change in temperature?
antiseptic1488 [7]

Answer:

-8

Step-by-step explanation:

The temperature dropped 8 degree, resulting in a negative change. So the integer to represent it would be negative 8 degrees.

4 0
3 years ago
PLZ HELP!<br> Find the product of -3.3 and -2.2.
gulaghasi [49]

-3.3 times 2.2

basically the product of is 7.26

5 0
2 years ago
The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times width of the banner. How long
eduard

Answer:

The banner is 10 2/3 ft long

Step-by-step explanation:

1 1/3 = 4/3 times the width of the banner:

4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long

The banner is 10 2/3 feet long. :)

3 0
3 years ago
What is the conjugate of 12
Gekata [30.6K]

-12 idrk havent done much of this

6 0
3 years ago
Other questions:
  • MATH :((<br>how do the chart??<br><img src="https://tex.z-dn.net/?f=%20-%20x%20%20%5E%7B2%7D%20%20-%209%20%5Cgeqslant%200" id="T
    13·1 answer
  • Let B=[-1 3 6 -3].Find-4B.
    10·1 answer
  • Find the area of a rectangle with the verticies A(-1,-1) B(0,-3) C(4,-1) D(3,1)
    12·1 answer
  • Roger is 25 ft from the base of the school flagpole when he sees a squirrel at the top of the flagpole 41 ft off the ground. fro
    6·1 answer
  • Please put these fractions in order from least to greatest  11/15, 3/5, 2/3, 19/30
    8·1 answer
  • The area of a rectangular field is 5229 m2 if the length of the field is 83 m what’s the width
    11·1 answer
  • The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe
    8·1 answer
  • A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl
    12·1 answer
  • Plz help me tyyysmmm
    14·1 answer
  • A(n)=-14+3(n-1)(2)<br> find A(9)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!