H(t)=t^4+3t^2-t+3 h'?
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Answer:
The 95% confidence interval for the true slope is (0.03985, 0.14206).
Step-by-step explanation:
For the regression equation:
The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope is:
The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:
The summary of the regression analysis is:
Predictor Coefficient SE t-stat p-value
Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹
Entering GPA 0.090953 0.022162 4.103932 0.003419
The regression coefficient and standard error are:
The critical value of <em>t</em> for 95% confidence level and 8 degrees of freedom is:
Compute the 95% confidence interval for as follows:
Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so
15 members:
This means that
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
In which
So
0.006% probability that the final vote count is unanimous.