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
Juliette [100K]
3 years ago
14

The birth weights (in kilograms) of 5 elephants, selected randomly, are 133, 120, 97, 106, 124 (Source: www.elephant.se). Below

are the summary statistics of the data and output from the analysis testing if the true average birth weight of the elephants is 100 kg.
min Q1 median Q3 max mean sd n missing
97 106 120 124 133 116 14.40 486 5 0
t = 2.4837, df = 4, p-value = 0.06794
alternative hypothesis: true mean is not equal to 100 95 percent confidence interval:
XXXXXX XXXXXX
What is the correct calculation of a 95% confidence interval for the true average birth weight of elephant?
(i) 116± 1.96 x 14.4
(ii) 116 ± 1.96 x 14.4/15
(iii)116 ±1.96 x 14.4/14
(iv) 116 ± 2.4837 x 14.4
(v) 116 ±2.4837 x 14.4/15
(vi) 116 ± 2.4837 14.4/74
(vii) 116 ± 2.78 x 14.4
(viii) 116 ± 2.78 x 14.4√5
(ix) 116 ±2.78 x 14.4√4
Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer:

(viii) 116 ± 2.78 x 14.4√5

Step-by-step explanation:

The given data is

Sample size =n= 5

Calculated t- value= 2.4837

Mean= 116

Standard deviation= sd= 14.40486

The t - value from table with 4 d.f for ∝/2 is  t∝/2 (n-1)= 2.776

The 95% confidence interval is calculated by

d` ± t∝/2 (n-1)  *sd/√n

Putting the values

116 ± 2.776* 14.40486/√5

Comparing these values with the options Part viii gives the best answer.

(viii) 116 ± 2.78 x 14.4√5

2.776 when rounded gives 2.78 and 14.40486 when  rounded gives 14.4

The rest are incorrect.

You might be interested in
In a group of 48 children there are three times as many boys as girls. how many girls are there
Leno4ka [110]
If x=girls,
then we have 3x boys.

We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.

So there are 12 girls and 36 boys.
5 0
3 years ago
Read 2 more answers
Sumita is following this recipe to make flapjacks.
Alexus [3.1K]

Answer:

20 flapjacks is the answer.

8 0
2 years ago
Can someone please help me?
vovangra [49]

Answer:

the answer to the question is 39

4 0
3 years ago
Rewrite ^5 square root of 4 * square root of 2 as a single radical
Irina-Kira [14]
The answer is the first one in the options
3 0
3 years ago
Read 2 more answers
Lydia writes the equation below with a missing value.
Alex73 [517]

If she puts 0 in the box she would have a direct variation.

Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that the equation could represent a direct variation.

When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.

<h3>What is the direct variation?</h3>

In form of y = ax, where y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of the missing term has to be 0.

then the equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.

To learn more about the direct variation visit:

brainly.com/question/25215474

#SPJ1

3 0
2 years ago
Read 2 more answers
Other questions:
  • Help me please!! I really really need it!! (:
    15·1 answer
  • If f(x)<br> =<br> V3x +1, g(x)<br> 6<br> =<br> x - 1<br> and h(x) = 4- 3x, Find h(g(f (5)))
    5·1 answer
  • PLS Help me! This graph shows the outside temperature (in degrees Celsius) over the course of 12 hours, starting at midnight (x
    10·1 answer
  • Rosalie and Tom are creating patterns.
    13·2 answers
  • Solve the following addition problems. Remember to carry as necessary.
    5·1 answer
  • A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach
    11·1 answer
  • Solve the problem correctly and show ur work <br><br> 1 . 3/5 ( 15x + 30 )
    10·2 answers
  • PLEASE HELP ASAP
    14·1 answer
  • What's the difference between numerical and algebraic expressions? How is the order of operations used to evaluate these express
    13·1 answer
  • Which choice provides the best evidence for the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!