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
natali 33 [55]
2 years ago
14

An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste

ps per day (and 65% of Americans are overweight). A group of health-conscious employees of a large health care system volunteered to wear pedometers for a month to record their steps. It was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps. At = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day?
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
6 0

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

You might be interested in
Which store is offering the best deal?
disa [49]
The answer to this question is 8 for $6
3 0
2 years ago
-8w-7+2w=23 what does that equal
olya-2409 [2.1K]
W=-5 because you distribute at the beginning with the 2 variables and you solve that's equation and you will end up with 6w divided by 30 and that's will give u W=-5
7 0
3 years ago
Garrett ran 3 1/4 miles on Monday. on Wednesday he ran 2 2/3 miles father than on Monday. on Friday he ran the same distance as
vlabodo [156]
3 1/4 + 2 2/3

3 1/4= 13/4
2 2/3= 8/3

13/4+8/3= 5 11/12

6 0
3 years ago
..................................
yanalaym [24]

Answer:

The answer is a² .

Step-by-step explanation:

You have to substitute x and y into the expression :

let \: x = a \cos(θ) \\ let \: y = a \sin( θ)

{x}^{2}  +  {y}^{2}  =  {(a \cosθ )}^{2}  +  {(a \sinθ) }^{2}

{x}^{2}  +  {y}^{2}  =  {a}^{2}( {cos}^{2}θ) +  {a}^{2} ({sin}^{2}θ)

Next, you have to apply Basic Trigonometric Identity :

{sin}^{2} θ +  {cos}^{2} θ = 1

{x}^{2}  +  {y}^{2}  =  {a}^{2} ( {cos}^{2} θ +  {sin}^{2} θ)

{x}^{2}  +  {y}^{2}  =  {a}^{2} (1)

{x}^{2}  +  {y}^{2}  =  { a}^{2}

8 0
3 years ago
What is x please help
NeTakaya
Your x will be -60 because you subtract 9x from 8x that equal-1 and you divide it by 60 because if you add 42+18 it will be 60 so you divide 60 by -1 and the answer will be -60
5 0
3 years ago
Other questions:
  • The rule is applied to ΔFGH to produce ΔF"G"H".
    9·1 answer
  • WILL UPVOTE
    10·1 answer
  • Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?
    8·1 answer
  • Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.
    10·1 answer
  • Bruhhh help me please
    6·2 answers
  • PLS HELP ME I HAVE A FEW MINS TO ANSWER I'LL DO WHAT EVER YOU WANT JUST HELP ME
    13·1 answer
  • Choose ALL of the fractions below which are equivalent (equal in value) to 40/60
    14·1 answer
  • Jane and Bill are cleaning up a park. If she had to clean up the park herself, it would take Jane six hours to complete the job.
    15·2 answers
  • The volume of a cylinder with height h and radius r is given by the formula below.
    10·1 answer
  • I need HELP!!!!!!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!