![krally0399](/avatars/14996.jpg)
krally0399
29.06.2021 •
Mathematics
Public health officials claim that people living in low income neighborhoods have different Physical Activity Levels (PAL) than the general population. This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55. A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63. Using a one-sample z test, what is the z-score for this data
Solved
Show answers
More tips
- F Family and Home How to Properly Use a Water Level?...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics 4.A ship traveled a distance of 50 km from port O at a bearing of 120°, then another 100 km to port B at a bearing of 200 °. What is the distance between ports O and B?...
- M Mathematics Cos²45+Sin²60 + sin^2 30...
- M Mathematics The radius of the circle has a length of units....
- M Mathematics In addition to specificity, which training principle is included in the SPORT training strategy? 1) Progress 2) Tenacity 3) Retention 4) Overexertion...
- M Mathematics Solve the inequality -7x+13 _41...
- M Mathematics The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Write an equation that could be used to find the length of...
- M Mathematics Springfield s current record for rainfall in a year is 2 feet. But, last month, they got 6 inches of rain! The mayor wonders what the new record would be if they had 6 inches...
- M Mathematics Alisha has sixty-seven dollars and thirty one cents in her checking account. She wrote a check for ninety-one dollars and fifty-three cent to pay her electric bill. How...
- M Mathematics -9x - x - 7x² - 6x² + 8 +6 Help please...
- M Mathematics -5(6x+3y-1) What is this simplified...
Ответ:
The z-score for this data is Z = -0.26.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation ![s = \sqrt{\frac{p(1-p)}{n}}](/tpl/images/1386/1439/73804.png)
This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55.
This means that![\mu = 1.65, \sigma = 0.55](/tpl/images/1386/1439/196d4.png)
A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.
This means that![n = 51, X = 1.63](/tpl/images/1386/1439/d8794.png)
Using a one-sample z test, what is the z-score for this data
By the Central Limit Theorem
The z-score for this data is Z = -0.26.
Ответ:
2000 pi
Step-by-step explanation: