Answer:
The volume of the marble is 47 ml
The volume of the water is 100 ml
Step-by-step explanation:
we know that
The volume of the marble is equal to the change in water level
so
To find out the volume of the marble subtract 100 ml from 147 ml
The volume of the water no change
The volume of the water is 100 ml
Answer:
90% confidence interval for the population mean iron concentration is [0.771 , 0.832].
Step-by-step explanation:
We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.
Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;
P.Q. = ~
where, = sample mean iron concentration = 0.802 cc/cubic meter
s = sample standard deviation = 0.093
n = number of water samples = 27
= population mean
<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>
So, 90% confidence interval for the population mean, is ;
P(-1.706 < < 1.706) = 0.90 {As the critical value of t at 26 degree of
freedom are -1.706 & 1.706 with P = 5%}
P(-1.706 < < 1.706) = 0.90
P( <
<
) = 0.90
P( <
<
) = 0.90
<u>90% confidence interval for</u> = [
,
]
= [ ,
]
= [0.771 , 0.832]
Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].