Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± ( 
) ( standard error )
⇒ sample estimate ± ( 
) ( standard error )
⇒ sample estimate ± ( 
) ( standard error )
{ from t table; ( ) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
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Answer:
72.73% probability of selecting a girl, given the flip resulted inheads
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Coin resulted in heads
Student is selected at random from a class of six boys and sixteen girls.
Desired outcomes:
16 girls, so 
Total outcomes:
16+6 = 22, that is, 22 students, so 
Probability:
72.73% probability of selecting a girl, given the flip resulted inheads
Answer: There are 60 different ways that he can arrange the books.
Step-by-step explanation:
Since we have given that
Number of computer science books = 5
Number of math books = 3
Number of books selected = 4
Atleast Number of computer science = 2
Atleast number of math book = 1
According to question, he wants at least two computer science books and at least one math book, and he wants to keep the computer science books and the math books together.
So, Number of different ways that he can arrange the books is given by
Hence, there are 60 different ways that he can arrange the books.
Answer:
Solving basic equations & inequalities (one variable, linear)
Linear equations, functions, & graphs.
Sequences.
System of equations.
Two-variable inequalities.
Functions.
Step-by-step explanation:
