A pond had 60 fish. 27 were carp and the rest were tench. 10 fish were added. The probability that a fish picked at random is a
1 answer:
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Answer:
So on this case for the significance level assumed we see that
so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.
So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.
Step-by-step explanation:
Let's suppose that we have the following linear model:
Where Y is the dependent variable and X the independent variable. represent the intercept and
the slope.
In order to estimate the coefficients we can use least squares procedure.
If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:
Null Hypothesis:
Alternative hypothesis:
Or in other words we want to check is our slope is significant (X have an effect in the Y variable )
In order to conduct this test we are assuming the following conditions:
a) We have linear relationship between Y and X
b) We have the same probability distribution for the variable Y with the same deviation for each value of the independent variable
c) We assume that the Y values are independent and the distribution of Y is normal
The significance level assumed on this case is
The standard error for the slope is given by this formula:
Th degrees of freedom for a linear regression is given by since we need to estimate the value for the slope and the intercept.
In order to test the hypothesis the statistic is given by:
The p value on this case would be given by:
So on this case for the significance level assumed we see that
so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.
So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.
Answer: 999 games
Step-by-step explanation:
There are many ways to illustrate the rooted tree model to calculate the number of games that must be played until only one player is left who has not lost.
We could go about this manually. Though this would be somewhat tedious, I have done it and attached it to this answer. Note that when the number of players is odd, an extra game has to be played to ensure that all entrants at that round of the tournament have played at least one game at that round. Note that there is no limit on the number of games a player can play; the only condition is that a player is eliminated once the player loses.
The sum of the figures in the third column is 999.
We could also use the formula for rooted trees to calculate the number of games that would be played.
where i is the number of "internal nodes," which represents the number of games played for an "<em>m</em>-ary" tree, which is the number of players involved in each game and l is known as "the number of leaves," in this case, the number of players.
The number of players is 1000 and each game involves 2 players. Therefore, the number of games played, i, is given by
90 degrees you are looking to your side
180 degrees you are looking behind you
around origin of 0,0
the image is flipped into the negative world if it is in posiitve or vice versa
Answer:
a) P(x) = 0.67
b) P(y) = 0.67
c) P(x=4) = 0.3325
d) P( x = 0 ) = 0.0039
e) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
Step-by-step explanation:
A) The probability that the stock market will rise next year = P(x) = 0.67
assuming next year to be X
B) Probability that the stock market will rise the year after next year
= P(y) = 0.67 and this is because the probability is independent of that of the previous years
C) Probability that the stock market will rise in four of the next five years
= P(x=4) = 0.3325
D) probability that the stock market will rise in none of the next five years
= P( x = 0 ) = 0.0039
E) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
