Fill in the table with the appropriate value to describe the amount of hot dogs eaten at a hot dog eating contest.
1 answer:
You might be interested in
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
Using the Central Limit Theorem, the correct option is:
(c) Average number of miles put on a rental car per day across 25 customers.
--------------------------
The Central Limit Theorem states that, for a normally distributed variable X, with mean and standard deviation
, the sample means of size m are approximated to a normal distribution with mean
and standard deviation
.
- The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
- Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.
A similar problem is given at brainly.com/question/23088374