Answer:
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Step-by-step explanation:
Information given
represent the sample mean
population mean
s= 5.2 represent the sample standard deviation
n=59 represent the sample size
Confidence interval
The confidence interval for the true mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence interval is 0.90 or 90%, the significance is 
and 
, and the critical value is 
Now we have everything in order to replace into formula (1):
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Answer:
9 / 64
Step-by-step explanation:
- In this task you have 2 events and you are looking for a joint probability. The first event is "Rebecca chooses a poodle". The probability of this event is:
P ( Rebecca chooses a poodle ) = 3 / 8
- because among 8 dogs there are 3 poodles.
- The second event is "Aaron selects a poodle".
This event has a probability of that is equivalent to previous selection:
P ( Aaron chooses a poodle ) = 3 / 8
- Because after Rebecca's choice the chosen poodle is replaced with the poodle; hence, there are 8 pets in total and among them there are 3 poodles.
- To calculate probability of both events ("Rebeca selects a poodle and Aaron selects a poodle") with replacement you have to multiply both calculated probabilities - condition of independent events :
P ( Aaron and Rebecca both select poodle ) = 3 / 8 * 3 / 8
= 9 / 64
Answer:
a
Step-by-step explanation:
The CPI increased from 29.6 to 82.4.
The rate of increase, is:
82.4/29.6 = 2.78
Now multiply this rate to the $0.14 price of grapes from 1960.
$0.14 x 2.78 = $0.39
Now to get the amount of increase subtract the new price from the original price:
$0.39 - $0.14 = $0.25 increase.
The largest angle is opposite the largest side, so
Answer: H
