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
Leni [432]
3 years ago
14

A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U

sing this data to obtain a 95 percent confidence interval resulted in an interval from 47.19 to 52.61. True or False: The confidence interval obtained is valid only if the distribution of the population of salary offers is normal.
Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

You might be interested in
Area Pls Tyyyyyyyyyyyyyyyyyyyyyyyyy
Serjik [45]

Answer:

240 meters^2

Step-by-step explanation:

Area of a triangle is 1/2b*h. (b=base, h=height). To solve you plug in the values 30 as b and 16 as h and then multiply to get 240.

3 0
3 years ago
Read 2 more answers
The value of a semi-trailer when new is $625 000. The value of the semi-trailer depreciates by
Nina [5.8K]

Answer:

$546,875

Step-by-step explanation:

if the trailer brand new costs $625,000 and decreases by 12.5% you want to find 10% which is $62,500. then you want to find 5% which would be $31,250. but you want 2.5% so you need to divide $31,250 by 2 which is $15,625. add $62,500 and $15,625 together which is $78,125. then do $625,000-$78,625 which gets you $546,875.

4 0
3 years ago
Which is the graph of the parent absolute value function?
VARVARA [1.3K]
Absolute Value's parent function is the third graph
5 0
3 years ago
SOMEONE HELP ME ON THIS!!
svlad2 [7]

Answer:

a) 8 ,18 year old students took part in the survey

b) 10

7 0
2 years ago
Solve 4/r = 5/20 will mark brainliest ​
Svetllana [295]

Answer:

= 16

Step-by-step explanation:

Simplify  \frac{5}{20}

​20

​

​5

​​   to  \frac{1}{4}

​4

​

​1

​​ .

\frac{4}{r}=\frac{1}{4}

​r

​

​4

​​ =

​4

​

​1

​​

2 Multiply both sides by rr.

4=\frac{1}{4}r4=

​4

​

​1

​​ r

3 Simplify  \frac{1}{4}r

​4

​

​1

​​ r  to  \frac{r}{4}

​4

​

​r

​​ .

4=\frac{r}{4}4=

​4

​

​r

​​

4 Multiply both sides by 44.

4\times 4=r4×4=r

5 Simplify  4\times 44×4  to  1616.

16=r16=r

6 Switch sides.

r=16r=16

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true regarding the sides and angles<br> of the triangle? Select three options.
    13·1 answer
  • Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey S
    10·1 answer
  • Please help me this is due tomorrow and I just need this. ALSO WHEN YOU ANSWER SHOW ME YOUR STEPS FOR BRAINLEST THANKS!
    5·1 answer
  • Write 3.6 in a word form
    5·1 answer
  • What the answer thanks
    6·1 answer
  • Which details do the authors include to support the claim in this passage
    8·1 answer
  • Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is$2.60. Erik has a coupon for 5% off his grocer
    11·2 answers
  • Show work for brainliest.
    12·1 answer
  • Will someone help please? only with 1-8​
    6·2 answers
  • I’m stuck on this question. any help would be greatly appreciated
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!