Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution 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 = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.387
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 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
1 quarter, 2 dimes, 2 nickels, 10 pennies
Answer:
Left
50 feet
Right
16 inches
10 inches
Step-by-step explanation:
Here, we want to make a conversion and fill in the empty spaces
The scale is 1 foot is 1/8 inch
To convert from foot to inch, we multiply by 1/8
To convert from inch to foot, we multiply by 8
Thus, we have ;
Let’s fill in the left spaces first;
6.25 * 8 = 50 feet
Right spaces, top to bottom;
128 * 1/8 = 16 inches
80 * 1/8 = 10 inches
When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.