Answer:
The minimum sample size that can be taken is of 14 dogs.
Step-by-step explanation:
The formula for calculating the minimum sample size to estimate a population mean is given by:

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.
Since we want to be 95% confident,
.
Therefore we look for the critical value
.
Then we calculate the variance:

And we have that:

<u>Now</u> we replace in the formula with the values we've just obtained:

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.
Answer:
None of the options are correct, as the answer is <u>2x - 18 = 68.</u>
Step-by-step explanation:
The <u>2x</u> represents the length (x) being half of the width (68)
The <u>-18</u> represents the width (68) being 18 less than twice the length (2x)
Answer:
E. -0.723
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Step-by-step explanation:
Information provided
represent the sample mean for the length
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
since we don't know the population deviation the statistic is:
(1)
Replacing in formula (1) we got:
E. -0.723
P value
The degrees of freedom are given by:
Since is a two tailed test the p value would be:
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
The shape of the room is not a square.
Pythagorean Theorem: 17^2+17^2= 578, square root 578 and you'll get 24.04.
The length of the diagonal of the floor of the room in the plan should have been 24.04 in order to be a square.