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
Elodia [21]
3 years ago
10

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow p

rocedure that utilized water containing the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in millimeters, were as follows: 53.1, 60.2, 60.6, 62.1, 64.4, 68.6.
1. What is the point estimate of the population mean height of this variety of seedling 14 days after germination? Do not round your final answer.

2. Given a margin of error of 5.4 mm, construct a 95% confidence interval for the population mean height. Enter only the lower limit for your confidence interval rounded to one decimal place.

3.Given a margin of error of 5.4 mm, construct a 95% confidence interval for the population mean height. Enter only the upper limit for your confidence interval rounded to one decimal place.

4. Why is a point estimate alone usually insufficient for statistical inference?

A. A point estimate alone is insufficient because the sampling distribution is not centered at the parameter.
B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.
C. The point estimate usually falls outside the confidence interval.
D.The point estimate has a large standard deviation compared to other estimators.
Mathematics
2 answers:
alexandr402 [8]3 years ago
7 0

Answer:

1. the point estimate:mean =61.5 mm

standard deviation = 5.143 mm

2. the lower limit of the confidence interval =50.9 mm

3. the upper limit of the confidence interval =72.1 mm

4. B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Step-by-step explanation:

1. An estimate of a population parameter,such as mean or standard deviation, based on a single number is called a point estimate.

for this question; the point estimate of the mean and standard deviation of the height of 6 samples are calculated

mean = (53.1 + 60.2+ 60.6+ 62.1+ 64.4+68.6.)/6 = 369/6 = 61.5 mm

standard deviation = 5.143 mm

variance = 26.45

2. margin of error, σₓ  of 5.4 mm

confidence interval of 95% gives a Zc of 1.96 from the table of confidence coefficient

confidence interval, µ =

µ= x ±zc σx = 61.5 ± 1.96*5.4 = 61.5 ± 10.584

the lower limit of the confidence interval =50.9 mm

3. the upper limit of the confidence interval =72.1 mm

4.

a point estimate alone usually insufficient for statistical inference

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Ede4ka [16]3 years ago
4 0

Answer:

1) The mean calculated for this case is \bar X=61.5

2)  61.5-5.4=56.1

3) 61.5+5.4=66.9

4) B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part 1

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (a)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (b)  

The mean calculated for this case is \bar X=61.5

The sample deviation calculated s=5.143

\mu population mean (variable of interest)

n=6 represent the sample size  

Part 2

The confidence interval for the mean is given by the following formula:

\bar X \pm ME   (1)

So if we have the margin of error 5.4mm we can find the lowr limit like this:

61.5-5.4=56.1

Part 3

61.5+5.4=66.9

Part 4

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

You might be interested in
Complete the statements to find the measurements of angle a and angle b ​
a_sh-v [17]
The measurement of angle a plus 120 must equal to 180 ( as angles on a straight line must equal to 180)
So measurement of angle a is 60 degrees
Measurement of angle b plus 60 plus 60 must equal to 180
So measurement of angle b is 60
7 0
2 years ago
Read 2 more answers
The equation 9y-6x=36 is written in standard form. What is the first step when writing an equivalent equation which solves for x
defon
The answer is D. Subtract 9y from both sides of the equation. 
7 0
3 years ago
Read 2 more answers
You deposit $100 in a savings account. The account earns 11% simple interest per year.
Gnesinka [82]

Answer:

<h2>a. ----> $10</h2><h2>b. ----> $110</h2>

Step-by-step explanation:

<h3><em>principle</em><em> </em><em>(</em><em> </em><em>p</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>0</em><em>0</em></h3><h3><em>t</em><em>i</em><em>m</em><em>e</em><em> </em><em>(</em><em> </em><em>t</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em> </em><em>y</em><em>e</em><em>a</em><em>r</em><em>s</em><em> </em></h3><h3><em>r</em><em>a</em><em>t</em><em>e</em><em> </em><em>(</em><em> </em><em>r</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>%</em></h3><h3><em>s</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em><em>=</em><em> </em><em>(</em><em>p</em><em> </em><em>×</em><em> </em><em>r</em><em> </em><em>×</em><em> </em><em>t</em><em>)</em><em>÷</em><em> </em><em>1</em><em>0</em><em>0</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>$</em><em>1</em><em>0</em><em>0</em><em> </em><em>×</em><em> </em><em>1</em><em>1</em><em> </em><em>×</em><em> </em><em>1</em><em>0</em><em> </em><em>)</em><em>÷</em><em> </em><em>1</em><em>0</em><em>0</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>0</em><em>0</em><em>0</em><em> </em><em>÷</em><em> </em><em>1</em><em>0</em><em>0</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>1</em><em>0</em></h3>

<h3><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em><em>=</em><em> </em><em>s</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em><em>-</em><em> </em><em>p</em><em>r</em><em>i</em><em>n</em><em>c</em><em>i</em><em>p</em><em>l</em><em>e</em><em> </em></h3><h3><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>1</em><em>0</em><em> </em><em>-</em><em> </em><em>$</em><em>1</em><em>0</em><em>0</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>0</em></h3>

<h2>MARK ME AS BRAINLIST</h2>

PLZ FOLLOW ME

5 0
2 years ago
Please help me in math
Marta_Voda [28]

When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).

The reciprocal of z^-3 would be 1 / z^3.

Hope this helps!! :)

3 0
2 years ago
What is the answer 1 plus 1
AnnZ [28]

Answer:

the answer is 4, just kidding it's 2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the answer to the question
    11·1 answer
  • Hoover dam on the colorado river is the highest dam in the united states at 221 m, with an output of 1300 mw. the dam generates
    12·1 answer
  • Benito is selling T-shirts for $8 each for his school fund-raiser. So far, he has sold 16 T-shirts. How many more does he need t
    15·1 answer
  • I need help fast (26 POINTS!!)
    15·1 answer
  • Please answer correctly !!!!! Will mark brainliest !!!!!!
    12·2 answers
  • Asphere and a cylinder have the same radius and height. The volume of the cylinder is 30 m^3 .
    5·1 answer
  • Write (46.72 X 10 8 ) 2 in scientific notation
    13·1 answer
  • Before data is entered into the regression calculator, some data may be excluded. Explain why the data pair (0, 100) was exclude
    11·1 answer
  • How to find the width of a triangle if the area is 24cm² and the base is 6cm ​
    12·2 answers
  • A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in a table, sh
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!