Choice 1. f(5)=5-3 which equals 2
Answer:
PLEASE HELP!!!
1. Under what conditions must we assume a Student t distribution for the sampling distribution of sample means when testing a claim about a population mean?
2. Give one difference between the Student t distribution and the normal distribution.
3. Which TI-84 calculator command or StatCrunch dialog box is used to find the P-value given a t test statistic?
Step-by-step explanation:
PLEASE HELP!!!
1. Under what conditions must we assume a Student t distribution for the sampling distribution of sample means when testing a claim about a population mean?
2. Give one difference between the Student t distribution and the normal distribution.
3. Which TI-84 calculator command or StatCrunch dialog box is used to find the P-value given a t test statistic?
Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that:
Answer:
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) = 
Step-by-step explanation:
The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women
That is probability of participants of television quiz of equal numbers of men and women that is 50 %of men and 50% of women.
p = 50/100 = 1/2
q = 1-p = 1 - 1/2 = 1/2
n =10
we will use binomial distribution 
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) = P(x=0)+P(x=1)+P(x=2)
=
+ 
by using formula 
on simplification we get
=
+ 
=
+
= 
<u>Conclusion</u>:-
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) = 
Ten to the third power / 3/10th