There are 8 88 employees on The Game Shop's sales team. Last month, they sold a total of g gg games. One of the sales team membe
1 answer:
Answer:
The number of games sold by Chris =
Step-by-step explanation:
The total number of employees in the team = 8
The total number of games sold by the whole team = g
The number of games sold by Chris = Average Games sold by each member - 17
Now,
=
⇒The average number of games sold by each of the team member = g/8
Hence, the number of games sold by Chris =
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Answer:
(a) The significance level of the test is 0.002.
(b) The power of the test is 0.3487.
Step-by-step explanation:
We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.
The test rejects the null hypothesis if either 0 or 10 heads are observed.
Let p = <u><em>probability of obtaining head.</em></u>
So, Null Hypothesis, : p = 0.5
Alternate Hypothesis, : p
0.5
(a) The significance level of the test which is represented by is the probability of Type I error.
Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.
Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;
P(Type I error) =
P(X = 0/ is true) + P(X = 10/
is true) =
Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.
So, X ~ Binom(n = 10, p = 0.5)
P(X = 0/ is true) + P(X = 10/
is true) =
=
=
= 0.0019
So, the significance level of the test is 0.002.
(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.
Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.
Also, the power of the test is represented by (1 - ).
So, here, X ~ Binom(n = 10, p = 0.1)
= P(X = 0/
is true) + P(X = 10/
is true)
=
=
= 0.3487
Hence, the power of the test is 0.3487.
Answer:
The inequality is
Step-by-step explanation:
Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.
To find : Which inequality represents this situation?
Solution : He plays trumpet for a minimum of 45 minutes
If x is the number of days that Lionel practices then he practices for at least
hours
y is the total number of hours he spends practicing
So, the inequality form is:
i.e, 0.75x is greater than y.