2.6
Identify the explanatory variable and the response variable in this study.
Explanatory: Distance
Response: Fee
Who are the cases?
College Students
what would we have to do to calculate the parameter exactly?
ask all college students if they drink coffee daily
Give notation for the parameter being estimated.
๐1 โ ๐2
Based on the sample, what is the value for best estimate?
"x-bar" = 5.4
Use the regression line equation to predict the total delivery fee for a restaurant located 5 miles away.
$12.75
What is the probability that an employee chosen at random is Contract and prefers the Night Shift?
0.0857
Use the distribution to estimate the proportion of all college students who drink coffee daily. Give correct notation for your answer.
0.65
Calculate the difference in sample proportions (streaming minus cable) using three decimals and include appropriate notation
โ 0. 080
Give notation for the parameter being estimated and define the parameter within context.
"mu" = the average smartphone screen time of college students
An observed fee at 5 miles was $11.50. Calculate the residual
-$1.25
What is the probability that an employee chosen at random is Part-Time or prefers the Day Shift?
0.6
Suppose we take another random sample. Based on the graph, how likely are we to see a result that matches each of the following sample proportions?
(Choose from: (i) reasonably likely to occur, (ii) unusual (rare) but might occur, or (iii) unlikely to ever occur)
p = 0.50 , p = 0.65 , p = 0.72 , p = 0.88
p = 0.50 : (iii) unlikely to ever occur
p = 0.65: (i) reasonably likely to occur
p = 0.72: (ii) unusual (rare) but might occur
p = 0.88: (iii) unlikely to ever occur
Calculate a confidence interval given that the standard error ( ๐๐ธ) for the difference in proportions is 0.024.
โ 0. 128 to โ 0. 032
Calculate a 95% confidence interval given that the standard error of the estimate (SE) is about 0.3 hours.
4.8 to 6.0
Interpret the value of the slope in the context of this study.
For each increase in distance, the fee may increase by 1.80.
If an employee is Full-Time, what is the probability that they prefer a Rotating Shift?
0.1667
What does one dot on the dotplot represent? Include correct notation.
One dot represents 200 college students and a sample proportion
Based on the interval, is it plausible that there is โno differenceโ in the proportions between streaming-only and traditional cable users? Explain.
no, 0 is not contained in the interval estimate
Based on the interval estimate, is it reasonable to say that the average daily smartphone screen time might be 5?
Yes, 5 is contained in the interval estimate
Interpret the value of the intercept in the context of this study.
If distance traveled was 0, the fee might be $3.75
What is the probability that an employee is Part-Time if they prefer the Night Shift?
0.3571
Give notation for the parameter and define the parameter within the context of the study.
P = The proportion of all college students that drink coffee daily.
Interpret the confidence interval in context.
We are 95% confident that the true difference in the proportion of all streaming-only users and traditional cable users who prefer live events is between -0.128 and -0.032
Interpret the confidence interval in the context of the study.
We are 95% confident that the average daily smartphone screen time for all college students is between 4.8 hours and 6.0 hours.