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
Sever21 [200]
3 years ago
6

A geologist examines 14 geological samples for iron concentration. The mean iron concentration for the sample data is 0.181 cc/c

ubic meter with a standard deviation of 0.0318. Determine the 90% confidence interval for the population mean iron concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{0.0318}{\sqrt{14}} = 0.0140

The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

You might be interested in
Someone plz answer this for me
padilas [110]
Cos theta = base /perp = sqrt(13)/7 =0.515
4 0
3 years ago
How do you factor the common factor out of 30x^2-12x
Anika [276]
The answer would be 6x(5x-2).

Since both terms have x in them, x will be apart of your answer.

The GCF of 12 and 30 is 6.

So you can factor out 6x from both terms.

Hope this helps!
4 0
3 years ago
Use the table above to answer the question. Keith Jones purchased a $70,000 policy. At the fifth anniversary, what
Alenkinab [10]

Answer:

21,000

Step-by-step explanation:

........................

8 0
3 years ago
If the radius of the circle is 7.2cm what is the circumference to the nearest tenth?
Aleksandr-060686 [28]

Answer:

About 45.22

Step-by-step explanation:

Radius x 2 x π

8 0
2 years ago
If f(x)=3x^2+1 and g(x) =1-x, what is the truly value of (f-g)(2)
Lilit [14]

Answer:

14

Step-by-step explanation:

f(x)=3x²+1

f(2) = 3 x 2² + 1 = 13

g(x) =1-x

g(2) = 1 - 2 = -1

(f-g)(2) f(2) - g(2) = 13 - (-1) = 14

8 0
3 years ago
Other questions:
  • Plz help it’s the ANDREA ONe
    15·1 answer
  • What is the probability of getting a 70 on a <br> a. True <br> b. False test were you guess?
    12·1 answer
  • shemillie earns $8 per hour at a yogurt store. she receives a 5% raise. What are her new hourly earingings?
    14·2 answers
  • The first and last terms of a 10-term arithmetic series are listed in the table. What is the sum of the series?
    9·2 answers
  • Help me figure out how to simplify this please:
    8·1 answer
  • (Awarding brainless) for the first correct answer
    12·2 answers
  • The original price of a mountain bike was reduced $125 if p = the mountain bike's original price in dollars, which algebraic exp
    14·1 answer
  • Write an equation of a line, in slope-intercept form, that is perpendicular to the line y=2x+5 and passes through the point (8,-
    10·1 answer
  • The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is
    14·1 answer
  • Please help me on this
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!