QUESTION 34
We want to find the variance of .
The variance can be calculated using the formula,
where
This means that,
This gives us,
QUESTION 35
We want to find the variance of .
The variance can be calculated using the formula,
where
This means that,
This gives us,
QUESTION 36
We want to find the variance of .
The variance can be calculated using the formula,
where
This means that,
This gives us,
Answer:
a) Confidence interval 95% = Mean ±Margin of error
=
b) since 3 is not contained in the interval, we reject null hypothesis.
Step-by-step explanation:
Given that Ms. Fitness-Buff, a high school gym teacher, wants to propose an after-school fitness program. To get an idea of the fitness level of the students at her school, she takes a random sample of 75 students and records the number of hours the students exercised in the past week. Her sample mean is 2.25 hours and she knows from past research that the population standard deviation is 2 hours.
She wants to know if this varies from a population mean of 3 hours/week.
(Two tailed test at 5% significance level)
Sample mean = 2.25 hours
Since sigma is known, we use Z critical value for 95% i.e. 1.96
Margin of error =
a) Confidence interval 95% = Mean ±Margin of error
=
b) since 3 is not contained in the interval, we reject null hypothesis.
Answer:
49 degrees.
Step-by-step explanation:
The interior angles of a triangle always add up to 180 degrees. 180-102-29=49.
Answer:
The sample space
Step-by-step explanation:
By definition, the sample space is the set composed by all the possible outcomes of your random variable. In this case, the random variable is 4 sided dice, so the sample space is