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
kumpel [21]
3 years ago
10

Men are believed to have a slightly longer average length of short hospital stays than women; 5.2 days versus 4.5 days respectiv

ely. A random sample of short hospital stays for men and women showed the following. At ???? =0.01, is there enough evidence to conclude the average short hospital stay for men is indeed longer than that for women? (Use the traditional method to test the hypothesis).
Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of singificance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

Step-by-step explanation:

1) Data given and notation  

\bar X_{1}=5.2 represent the mean for group men  

\bar X_{2}=4.5 represent the mean for group women  

Assuming these values for the remaining data:

\sigma_{1}=1.2 represent the population standard deviation for the sample men

\sigma_{2}=1.5 represent the population standard deviation for the sample women

n_{1}=32 sample size for the group men  

n_{2}=30 sample size for the group women  

z would represent the statistic (variable of interest)

p_v represent the p value  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:  

H0:\mu_{1} \leq \mu_{2}  

H1:\mu_{1} > \mu_{2}  

If we analyze the size for the samples both are higher than 30, and we know the population deviation's, so for this case is better apply a z test to compare means, and the statistic is given by:  

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

3) Calculate the statistic  

We have all in order to replace in formula (1) like this:  

z=\frac{5.2-4.5}{\sqrt{\frac{1.2^2}{32}+\frac{1.5^2}{30}}}=2.02  

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a right tailed test, so we are looking on the normal standard distribution a value that accumulats 0.01 of the area on the right and 0.99 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.01,0,1)", and we got z_{critical}=2.33

5) Statistical decision

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of significance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

You might be interested in
PLEASE HELP AND TELL ME HOW YOU DID IT I HAVE TO SHOW work !! Jeans are on sale for 40% off the jeans Justin wants to buy them m
Harman [31]
Okay, if the jeans were originally $80, take 40% off of that (40% of 80 is 32) so you’d get 48. Now take 48 and multiply by 1.07 (to get 107% of the $48, to find a percentage you can move the decimal place left 2 digits and multiply), so Justin would pay $51.36 in total.
8 0
3 years ago
76% as a fraction in simplest form.
yuradex [85]

Answer:

76/100 = 19/25

5 0
2 years ago
Read 2 more answers
Answer only the last question where it says (why can no angel)
Igoryamba
Because three points of the angle have to be named ex; angle ABC
8 0
3 years ago
Are the graphs of each pair of equations parallel, perpendicular, or neither? x=4 y=4
Vlad1618 [11]

Both graphs x =4 and y =4 will be perpendicular to each other.

  • The graph of x = 4 is a vertical line down the Graph scope
  • The graph of y =4 is a horizontal line side the Graph scope.

Both the Lines will meet exactly at ( 4, 4 ) perpendicularly at each other both of them intersecting at 90 degrees.

Vertical and Horizontal lines are perpendicular to each other (90 Degrees).

Know more about Perpendicular Lines: brainly.com/question/1202004

5 0
10 months ago
Read 2 more answers
If x = −3, which number line shows the value of |x|? (5 points)
Arada [10]
Can’t see your answer choices but the absolute value of -3 is 3 so I would say 3 is your answer
3 0
2 years ago
Other questions:
  • -8x-2y=6 in slope form
    10·1 answer
  • Converting ounces to pounds
    13·1 answer
  • What is 7 copies of the sum of 8 fifths and 4?
    11·2 answers
  • Help me with this fast
    11·2 answers
  • Giving brainly help find Find m∠H.
    12·1 answer
  • Write each number in scientific notation.<br><br> 0.00916<br> {blank} x10 {blank}
    9·1 answer
  • Can someone please help me with this :( asap
    10·1 answer
  • If line t has a slope of -1/4 what is the slope of any line perpendicular to line t
    15·1 answer
  • A farmer wants to increase the size of one of his square pens. The pen measures 10 feet on each side. The farmer plans to increa
    7·1 answer
  • Which is more 2 kilo or 2,050 grams (Pls help me!)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!