Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
The variance of the temperatures of the 10 day period must be at least zero.
Step-by-step explanation:
The variance is the expectation of the squared deviation of a random variable from its mean. It measures how far a set of numbers are spread out from their average value.
Its unit of measure corresponding to the square of the unit of measure of the variable. In this case, the variance of the temperatures is expressed in (°C)². The variance has a minimum value of 0.
Since the variance is squared, it will always have values greater than zero.
3x + 2y = -26
4x - 5y = -4
To eliminate, we are going to cancel out the y
So multiply the first equation by 2.5, and you'll get
7.5x + 5y = -65
Add this equation to the second, and you'll get
11.5x = -69
Divide by 11.5 on both sides, and you get
x = -6
Now plug the -6 into the first equation, and you get
3(-6) + 2y = -26
Solve
-18 + 2y = -26
2y = -8
y = -4
Explanation:
Perimeter of the park
= 337 m
= 33700 cm
Length of each fence panel
= 550 cm
Number of fence panel required
= Perimeter of the park/Length of each fence panel
= 33700 cm/550 cm
= 33700/550
= 3370/55
= 674/11
= 61 3/11
So, we will need 61 3/11 fence panels.
P.S. — 61 3/11 means 61 whole and 3/11. I have attached its picture, so that you understand.
Subtract the number at the baseball game from the hockey game:
2058 - 1300 = 758
There was 758 more people at the hockey game.
