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
mario62 [17]
3 years ago
8

In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa

rd deviation of 0.89 pounds. Determine the 99% confidence interval for the mean waste recycled per person per day for the population of Texas. 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:
sammy [17]3 years ago
5 0
<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : \overline{x}=1.9\text{ pounds}

Standard deviation: \sigma=0.89\text{ pounds}

Significance level : 1-\alpha:1-0.99=0.01

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas  = (0.068, 3.732)

You might be interested in
A contractor's crew can frame 3 houses in a week. How long will it take them to frame 54 houses if hey frame the same number eac
mr Goodwill [35]
Divide 54 by 3.
18:)
have a good day!

6 0
3 years ago
Read 2 more answers
Araceli's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store
lina2011 [118]

Answer:

168 ft

Step-by-step explanation:

1. Calculate the total length of the curtains

42 curtains × (48 in/1 curtain) = 2016 in

2. Convert to inches to feet

1 in = ¹/₁₂ ft 2016 in × (¹/₁₂ ft/1 in) = (2016/12) ft = 168 ft

Ariceli will need 168 ft of fabric.

6 0
3 years ago
5 divided by 5.2 = ?
Alenkasestr [34]

Answer:

0.96153846153

but it would make more sense in a lot of cases if it was 5.2/5

Step-by-step:

5 0
3 years ago
Read 2 more answers
If one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p​
SashulF [63]

Answer:

p = 8

Step-by-step explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant  & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8

5 0
3 years ago
The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute devia
DochEvi [55]

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

<h3>What is mean absolute deviation?</h3>

Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.

For this case, the table of mean and mean absolute deviation is given as:

\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}

(M.A.D refers to Mean Absolute Deviation).

So, difference in their mean is 82 - 78 = 4

Absolute deviation  for Sidney is 3.28

Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Learn more about ratio here:

brainly.com/question/12106245

4 0
2 years ago
Other questions:
  • Write an expression that shows how to multiply 4 x 362 using place value and expanded form.
    10·1 answer
  • MZRTU = 53<br> OmZQUR = 74<br> mZOST= 106<br> mZROS = 106
    5·1 answer
  • How to turn a fraction to a decimal
    5·2 answers
  • Can someone help please
    9·1 answer
  • You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get o
    15·1 answer
  • A paper reported that in a representative sample of 282 American teens age 16 to 17, there were 71 who indicated that they had s
    5·1 answer
  • 9c - 10 = 2c + 53 <br>find what is c.​
    11·2 answers
  • Ryan wants to prepare for a mini marathon by jogging 12 miles each week. How many days would he need to jog if he runs only 3 mi
    9·1 answer
  • Wspólny Ułamek 18 i 6
    8·1 answer
  • A stack of boards is 21 inches high. The boards are 1 3/4 inches thick.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!