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
vodomira [7]
3 years ago
12

Suppose that textbook weights are normally distributed. You measure 33 textbooks' weights, and find they have a mean weight of 7

5 ounces. Assume the population standard deviation is 13.3 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight. Round answers to 2 decimal places.
Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:

75-2.58\frac{13.3}{\sqrt{33}}=69.027    

75+2.58\frac{13.3}{\sqrt{33}}=80.793    

And the 95% confidence interval would be between (69.027;80.793)    

Step-by-step explanation:

Information given

\bar X=75 represent the sample mean

\mu population mean (variable of interest)

\sigma=13.3 represent the population standard deviation

n=33 represent the sample size  

Confidence interval

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

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

The degrees of freedom are given by:

df=n-1=33-1=32

The Confidence level is 0.99 or 99%, the significance would be \alpha=0.01 and \alpha/2 =0.005, the critical value for this case would be z_{\alpha/2}=2.58

And replacing we got:

75-2.58\frac{13.3}{\sqrt{33}}=69.027    

75+2.58\frac{13.3}{\sqrt{33}}=80.793    

And the 95% confidence interval would be between (69.027;80.793)    

You might be interested in
The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?
saw5 [17]

Answer:

Possibly 3.

Step-by-step explanation:

A consecutive odd number that adds up to 39 and is the smallest (not including 1) is 3.

13, 3's equals to 39.

5 0
3 years ago
Which of the following would not represent the phrase “the difference of two numbers divided by 5”?
Sophie [7]
It would be (a) because it is  now
 it
5 0
3 years ago
The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl
jok3333 [9.3K]

Distance = 500 miles

Distance of automobile = 10r

r = 50

Distance = 10 x 50 = 500 miles

7 0
3 years ago
Four small cakes are shared equally among 5 children what part does each child receive?
erastova [34]

Answer:

0.8 of a cake

Step-by-step explanation:

all you do is divide 4 by 5

4 0
3 years ago
Match the following definition to the term.
Umnica [9.8K]
We are asked to describe into one term the definition "procedure for selecting sample elements from a total set of observations." The answer is sampling method. Sampling method is a method used by researchers to evaluate a large size of correspondents or samples such that the representive sample is still considered. 
3 0
3 years ago
Other questions:
  • Pls help I’m been stuck
    7·2 answers
  • Refer to the dog weights box-and-whisker plot in answering the question.
    9·2 answers
  • Find the area if the diameter is 14 mm
    15·1 answer
  • Combine the term : 5n-n
    12·1 answer
  • Which model shows the correct factorization of x2 – x – 2? Image for option 1 Image for option 2 Image for option 3 Image for op
    13·2 answers
  • Solve (2x - 1)^2 = 9. <br>A. X = 2, -1 <br>B. X = -2,1 <br>C. x = -2, -1 <br>D. X = 2,1​
    11·1 answer
  • 3x + y = 10<br> x = 2y + 1 <br><br> simplifying
    9·1 answer
  • Find the diameter of the reservoir. 18 m A 42 m В The diameter of the reservoir is meters.​
    13·1 answer
  • What is 1/4 of 16 ………?????
    14·1 answer
  • Which inequality is equivalent to |x-4| less than 9? –9 &gt; x – 4 &lt; 9 –9 &lt; x – 4 &lt; 9 x – 4 &lt; –9 or x – 4 &lt; 9 x –
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!