Answer:
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.7787.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.
The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
<h2>Steps</h2>
So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):
- When <em>decrease</em>: (1 - p)m
- When <em>increase</em>: (1 + p)m
So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:
<em>On Tuesday, the share went from $80 to $68</em>
Next, on Wednesday the share increased by $7. With this, just add $68 and 7.
<em>On Wednesday, the share went from $68 to $75</em>
Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:
<h2>Answer</h2>
<u>The final price of the share is $84.</u>
Answer:
it increase and by 16.7
Step-by-step explanation:
Answer:
a) 29
b) 0
c) 7
d) 3/8
Step-by-step explanation:
Whenever you're facing a clock maths problem, the solution always have to be < to the number of hours in the given clock. If it's > the number of hours of the given clock, you subtract the number of hours until you get a result <= the number of clock hours.
If the result is negative, you add the clock hours.
a) 21 - 33 = -12 , so -12 + 41 = 29
b) 13 * 4 = 52, then do 52 - 52 = 0, since answer has to be < 52.
c) 11+19 = 30, 30 - 23 = 7
d) 3/8 = 3/8, since 3/8 <= 15, you're also fine.
