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
Masteriza [31]
3 years ago
12

A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

six students in his class and recorded the number of minutes that they exercised in the past day. The numbers were 30mins, 40 mins, 60 mins, 80 mins, 20 mins, and 85 mins. What’s the standard error of the mean
Mathematics
1 answer:
klasskru [66]3 years ago
6 0

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5

The standard deviation of the sample is calculated as:

s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8

Then, we can calculate the standard error of the mean as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5

You might be interested in
Ed bought 3 liters of water, 2,750 milliliters of sports drinks, and 2.25 liters of juice. For numbers 4a-4e, select True or Fal
Naily [24]
<span>4a) 1000 milliliters = 1 liter, thus 3 liters = 3 x 1000 = 3000 milliliters.
Thus Ed bought 3000 - 2750 = 250 more water than sports drink.
Therefore, Ed bought 250 milliliters more water than sports drink is True.

4b) Ed bought 3 - 2.25 = 0.75 more water than juice.
Therefore, Ed bought 1.25 liters more water than juice is False.

4c) Ed bought 2.25 liters = 2.25 x 1000 = 2250 milliliters of juice.
Thus, Ed bought 2750 - 2250 = 500 more sports drink than juice.
Therefore, Ed bought 50 milliliters more sports drink than juice is False.

4d) Ed bought 2750 milliliters = 2750 / 1000 = 2.75 liters of sports drink.
Ed bought 2.75 - 2.25 = 0.5 liters more sports drink than juice.
Ed bought 0.5 liter more of sports drink than juice is True.

4e) Ed bought 3000 milliliters of water and 2250 milliliters of juice.
Ed bought 3000 - 2250 = 750 more milliliters of water than juice.
Therefore, Ed bought 75 milliliters more water than juice is False.</span>
8 0
3 years ago
Find the value of x 2-x7=25
o-na [289]

Answer: 3.285714286

Step-by-step explanation: subtract 2 from both sides then divide by 7

4 0
3 years ago
Find the slope of the line that passes through (41, 81) and (75, 71).​
labwork [276]

Answer:

y=5/17x+17 3/17

Step-by-step explanation:

put the points on slope to get 5/17. then use point slope form (y-y1)=m(x-x1) and plug in 41 for x1, 81 for y1, and 5/17x for m

8 0
3 years ago
9+10=
Fiesta28 [93]
The equation sums up to be 19.

6 0
3 years ago
Read 2 more answers
The height of three students in the class are given below. Order the students from shortest to tallest.​
miskamm [114]

Answer:

Janis, Carl, Catherine

Step-by-step explanation:

janis=1.666

carl=1.7

catherine=2.333

7 0
2 years ago
Other questions:
  • Mathematical definitions must be in ______ language Provide_______ information include only ______ information.
    5·1 answer
  • Graph the piecewise function on the blank coordinate plane below. Please explain this to me step by step I don't fully understan
    10·1 answer
  • Help asap A triangle has angles D, E, and F. Which of the following could not be a set of
    11·1 answer
  • Why do you round $175,000 up to $180,000
    15·1 answer
  • a data set consists of these points (2, -4), (4, -7), (5, -12), Elisa found the regression equation to be y = 2.5x + 1.5 is she
    9·1 answer
  • How many integers n satisfy the inequality 3n² - 4≤44?
    14·1 answer
  • Please help and show your work.
    5·1 answer
  • 300 + 300 :)<br> Simple question!
    14·2 answers
  • Two fractiobs have a common denominator of 8 what could the two fractions be
    7·2 answers
  • Find the value of g(5) if<br> someone help asap PLEASE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!