Data on the blood cholesterol levels of 10 rats (milligrams per deciliter of blood) give x = 85 and s = 12. A 99% confidence interval for the mean blood cholesterol of rats is

Answers

Answer 1

Answer:

99% confidence interval for the mean blood cholesterol of rats is between 72.66 milligrams per deciliter of blood and 97.34 milligrams per deciliter of blood

Step-by-step explanation:

Confidence Interval = mean (x) + or - margin of error (e)

e = t×s/√n

s = 12, n = 10, degree of freedom = n-1 = 10-1 = 9, t-value corresponding to 9 degrees of freedom and 99% confidence level is 3.250

e = 3.250×12/√10 = 12.34

Lower bound = x - e = 85 - 12.34 = 72.66

Upper bound = x + e = 85 + 12.34 = 97.34

99% confidence interval is (72.66, 97.34) milligrams per deciliter of blood

Answer 2

Answer:

Answer: 85 +/- 9.79

= ( 75.21, 94.79)

Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 85

Standard deviation r = 12

Number of samples n = 10

Confidence interval = 99%

z(at 99% confidence) = 2.58

Substituting the values we have;

85 +/-2.58(12/√10)

85+/-2.58(3.795)

85 +/- 9.79

= ( 75.21, 94.79)

Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)

Related Questions

Convert the fraction to higher terms. Enter the value of the missing numerator 3/10=?/80
20 is what percent of 52?
Write a compound inequality that represents each situation. Graph your solution.all real numbers that are greater than –6 but less than 6 A) –6 ≤ x < 6 B) –6 ≤ x ≤ 6 C) –6 < x < 6 D) –6 < x ≤ 6
If the volume of a cylinder is 75pi cubic inches and the height is 3 inches then what is the radius of the base of the cylinder?
Which of the following is the surface area of the right cylinder below?height 2 radius 9 A. 174 units2 B. 187 units2 C. 198 units2 D. 162 units2

A suit is on sale for $154. If the original price of the suit was $440, what percent was discounted for the sale? A. 2.5% B. 53% C. 25% D. 65%

Answers

440 x .65 = 286

440 - 286 = 154

D. 65%

Exponential Form3.log 1/4 1=0
4.log 1/2 32= -5
Evaluate the logarithm
6. log27 3=
8. log 1/4 256=
9. log 10 .001=
10. log 64 2=

Answers

6. 1/3
8. -4
9. -3
10. 1/6

loga n=z ⇔a^z=n

Therefore:
3)log 1/4 1=0 ⇔(1/4)⁰=1
4)log 1/2 32 -5 ⇔(1/2)⁻⁵=2⁵=32

6)
log 27 3=n ⇔ 27^n=3
27=3³
(3³)^n=3 ⇒n=1/3 (3³)¹/³=3³/³=3¹=3

Answer: log 27 3=1/3

7)
log1/4 256=n ⇔(1/4)^n=256
256=2⁸=4⁴
(1/4)^n=4⁴ ⇒n=-4 [ (1/4)⁻⁴=4⁴=256 ]

Answer: log1/4 256=-4

9)
log 10 0.001=n ⇔ 10^n=0.001
0.001=10⁻³
10^n=10⁻³ ⇒n=-3

answer: log 10 0.001=-3

10)
log 64 2=n ⇔64^n=2
64=2⁶
(2⁶)^n=2 ⇒2(⁶n)=2¹ ⇒ 6n=1 ⇒ n=1/6

answer: log 64 2= 1/6

A betting company wishes to sell 5000 tickets 50 of which will win prizes. I.) A students decided to buy 200 tickets. Let X be the number of tickets that win a prize. Write the probability distribution of X and give its mean. Ii.) Using a Poisson approximation for the distribution of X find the probability of at least three tickets winning a prize. Iii.) Calculate the number of tickets that should be bought so as the probability of at least one winning a prize is 90%

Answers

Answer:45000,000,000,000

Step-by-step explanation:you just have to times it

Need help with math

Answers

Answer:

Step-by-step explanation:

So more than 3 people.

Families with 4 =245

Families with 5=125

Families with 6=66

Families with 7=10

Families with 8=4

Add up (this will be our numerator)

Add up all the frequency numbers to get your denominator.

So the answer is =450/1000=45/100=45%

Hailey’s new puppy, sparky, weighed 4 pounds at six weeks old. if the puppy gains 2.5 pounds each month, after how many more months will sparky weigh 14 pounds? is this situation modeled by a linear function or an exponential function?

Answers

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

2.4 Months
Linear

Answer:

4 months linear function

Step-by-step explanation:

Solve the system my elimination 9x + 2y = 9 6x - 2y = -4

Answers

Answer:

x = 1/3 y= 3

Step-by-step explanation:

9x + 2y = 9

6x - 2y = -4

Add the two equations to eliminate y

9x + 2y = 9

6x - 2y = -4

----------------------

15x = 5

Divide each side by 15

15x/15 = 5/15

x = 1/3

Now we need to find y

6x - 2y = -4

6(1/3) -2y = -4

2 -2y = -4

Subtract 2 from each side

2-2y-2 = -4-2

-2y = -6

Divide each side by -2

-2y/-2 = -6/-2

y = 3

Other Questions

A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Help plzzz ill give extra points ‼️‼️

The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure

A fish tank is a cube. Its side length is 4 1/2 feet. The volume of water needed to completely fill the fish tank is ___ cubic feet.