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
igor_vitrenko [27]
2 years ago
11

Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets

produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree
Mathematics
1 answer:
inna [77]2 years ago
3 0

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.

You might be interested in
1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
Salsk061 [2.6K]

For this case we have that by definition, the perimeter of the rectangle is given by:

P = 2w + 2L

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

L = 6 + w\\P = 48

Substituting:

48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9

So, the width of the rectangle is 9 inches

L = 6 + 9 = 15

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

5 0
2 years ago
What fraction is equal to 66?
marysya [2.9K]
The fraction equal to .66 is <span>33⁄50</span> 

 
5 0
2 years ago
Read 2 more answers
Help me out with this question please mathematic ✏️
Free_Kalibri [48]

Answer:

the second bubble is the answer

Step-by-step explanation:

7 0
2 years ago
You invest $12,000 at 3.8% annual interest compounded annually. How much will you have at the end of 5 years?
Serjik [45]

Answer:

The answer is 60,000.

Step-by-step explanation:

If you invest 12,000 at 3.8 annual interest.  Annual means yearly, so that's every year. 12,000 x 5 is 60,000 that's why the answer is 60,000. If the answer is incorrect or correct let me know. If it's correct, mark me as brainlest, give me a rating, or say thank you! Have A Great Day.

3 0
2 years ago
How to you put y=(x-8)2+6 in number sense
SpyIntel [72]

Answer:

y = 2x-10

Step-by-step explanation:

just that is the way

8 0
3 years ago
Other questions:
  • decide whether the following situation is looking for the part, the percent, or the whole: 81 of 271 pages in a book
    11·1 answer
  • Which ratios are equivalent to 30:20. <br> 40:30, <br> 10:0,<br> 3:2,<br> 6:2.
    12·2 answers
  • What is percent increase from 2 to 3
    8·2 answers
  • 6. The vertices of ALMN are L(7,4), M(7,16), and
    7·1 answer
  • The product of 5 and a number x is 1/4. what is the value of x?
    12·2 answers
  • Richard and Teo have a combined age of 31. Richard is 4 years older than twice Teo's age. Write a system of equations. How old a
    14·1 answer
  • At Jones Middle School 72% of students like pizza. If there are 250 students, how many students like pizza? *
    9·2 answers
  • Two Distinct Rational roots<br><br> A.50<br> B.-loo<br> C.O<br> D.81
    11·1 answer
  • In this figure
    11·1 answer
  • May u give all the answers to these? please and thank you! &lt;3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!