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
Margarita [4]
3 years ago
13

An experiment was conducted to record the jumping distances of paper frogs made from construction paper. Based on the sample, th

e corresponding 95% confidence interval for the mean jumping distance is (8.8104, 11.1248)cm. What is the corresponding 98% confidence interval for the mean jumping distance?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer:

9.9676 - 2.326*0.5904 =8.594

9.9676 + 2.326*0.5904 =11.341

Step-by-step explanation:

Notation

\bar X represent the sample mean

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

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)

For this case the 9% confidence interval is given by:

8.8104 \leq \mu \leq 11.1248

We can calculate the mean with the following:

\bar X = \frac{8.8104 +11.1248}{2}= 9.9676

And we can find the margin of error with:

ME= \frac{11.1248- 8.8104}{2}= 1.1572

The margin of error for this case is given by:

ME = t_{\alpha/2}\frac{s}{\sqrt{n}} = t_{\alpha/2} SE

And we can solve for the standard error:

SE = \frac{ME}{t_{\alpha/2}}

The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:

SE = \frac{1.1572}{1.96}= 0.5904

Now for the 98% confidence interval the significance is \alpha=1-0.98= 0.02 and \alpha/2 = 0.01 the critical value would be 2.326 and then the confidence interval would be:

9.9676 - 2.326*0.5904 =8.594

9.9676 + 2.326*0.5904 =11.341

You might be interested in
Jet is setting up q holiday light display.He wants to make a tree in the shapes of two right trangle ahd has two 10 -foot strinb
Mrac [35]

Answer:

10 feet

Step-by-step explanation:

justdo it you will win

3 0
3 years ago
Evaluate the expression if k = 5 and w = 3 *<br> 3k + 2w - 4K
WINSTONCH [101]
Answer is 1




.............
7 0
3 years ago
Plssssssssssssssssssssssssssssssssssssss
solniwko [45]

Answer:

  c.  quadrilateral

Step-by-step explanation:

All of the sides are different lengths, so the quadrilateral cannot be a parallelogram, rhombus, or square.

Its best descriptor is <em>parallelogram</em>.

_____

A <em>parallelogram</em> has opposite sides parallel and congruent. A <em>rhombus</em> also has adjacent sides congruent. A <em>square</em> is a special case of rhombus in which the corner angles are right angles.

5 0
2 years ago
What is 7y divided by 12 minus 84
Westkost [7]

Answer:

1/y -84

Step-by-step explanation:

7y/12-84

simplify= 1/y-84

8 0
3 years ago
Fatima earned 6 more than twice as many dollars as Noora. If Fatima earned 40 QR, how much did Noora earn?
-Dominant- [34]
86.
Fatima has 40
Nora has “6 + (40 x 2)”
6+(80) = 86
4 0
3 years ago
Other questions:
  • In the summer a large pool evaporates water at 15% per day. If the pool starts out with 25,700 gallons of water, which function
    6·1 answer
  • Directions: Use the image to help you answer the questions in the portfolio.
    11·1 answer
  • A 16 oz package of brown rie cost 79 cents and 32 oz package of white rice costs $3.49 . Which package is a better deal?
    5·2 answers
  • A painting is 16 inches wide. it is placed inside a frame with a border that is x inches wide. The total width of the painting a
    6·1 answer
  • Evaluate the radical. <br> 1000−−−−√3 Enter your answer in the box.
    5·2 answers
  • Identify the prime numbers in the following list 5 7 12 11
    13·1 answer
  • What is the difference between measuring a Circle in Degrees and measuring a Circle in Radians?
    12·2 answers
  • Solve the inequality for x.<br> 22 &gt;x-5
    11·1 answer
  • PLEASE HELP ASAP This table represents the monthly fees for checking accounts at two banks. Which statement is best supported by
    11·1 answer
  • Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!