identify the population, the parameter, the sample, or the statistic in each setting.
Required
1 point
1
Question 1
1.
From a large group of people who signed a card saying they intended to quit smoking, a random sample of 1000 people was selected.
It turned out that 210 (21%) of the sampled individuals had not smoked over the past 6 months.
identify the population, the parameter, the sample, and the statistic.
1000 people
Large group of people saying they intended to quit smoking
21% of the random individuals had not smoked over the past 6 months
true proportion of those that quit smoking
210 people that were smokers
Population
Sample
Parameter
Statistic
Required
1 point
1
Question 2
2.
How much do gasoline prices vary in a large city? To find out, a reporter records the price per gallon of regular unleaded gasoline at a random sample of 10 gas stations in the city on the same day. The range (Maximum - Minimum) of the prices in the sample is 25 cents.
True range of all the gasoline prices in the city
10 gas stations
All the gas stations in the city
Range of 25 cents of the random gas stations
Population
Sample
Parameter
Statistic
Required
1 point
1
Question 3
3.
On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality-control inspectors sampled 50 bottles at random from the day’s production. These bottles contained an average of 19.6 ounces of iced tea.
the true mean amount of tea
All bottles of Iced tea filled in a plant on tuesday
50 bottles
19.6 oz of iced tea
Population
Sample
Parameter
Statistic
Required
1 point
1
Question 4
4.
Refer to the following population of 2 male students and 3 female students, along with their quiz scores:
Abigail 10
Bobby 5
Carlos 10
DeAnna 7
Emily 9
List all 10 possible random samples of size n = 2 NO REPEATS:
(Use the letters of their first name for ease, A = Abigail, separate samples by a comma)
Hint: there are 10
Required
1 point
1
Question 5
5.
Refer to the following population of 2 male students and 3 female students, along with their quiz scores:
Abigail 10 Bobby 5 Carlos 10 DeAnna 7 Emily 9
Calculate the mean quiz score for each sample (10 total) then list them below using spaces or commas:
Have me check your answer, there are 10 and your list may not match mine perfectly.
Required
1 point
1
Question 6
6.
Refer to the following population of 2 male students and 3 female students, along with their quiz scores:
Abigail 10 Bobby 5 Carlos 10 DeAnna 7 Emily 9
Use statsmedic.com/applet one quantitative variable single group.
Copy and past the sample means from #5 above to display the sampling distribution on a dotplot. Take a screenshot and upload into the 'show your work' area.
What is the center of the distribution? For the center - you need to consider will you use the mean or the median? The shape of the distribution will determine this.
Evaluate a claim:
Required
1 point
1
Question 7
7.
According to the National Center for Health Statistics, the distribution of heights for 16-year-old females is modeled well by a normal distribution with mean μ = 64 inches and standard deviation σ = 2.5 inches.
To see if this distribution applies at their high school, a statistics class takes an SRS of 20 of the 300 16-year-old females at the school and measures their heights.
When they calculate a sample mean of 64.7 inches, they wonder if the population of 16-year-old girls at their school has a mean height greater than 64 inches.
The class simulated 200 SRSs of size n = 20, here are the results of the simulation.
Simulation of 200 SRSs:
Identify the population, sample, parameter and statistic.
20 randomly chosen 16-year-old females
μ = 64 inches and standard deviation
σ = 2.5 inches
64.7 inches
All 16-year-old females
Population
Sample
Parameter
Statistic
Required
1 point
1
Question 8
8.
What percent of the sample means are equal to or more unusual than 64.7 inches?
Use the picture above of the simulation of the sampling distribution, locate 64.7 and find the proportion of means equal to or more unusual than 64.7 inches. (count them and then make a fraction. You will need to check for the total # of samples for the simulation)
Give your answer as a decimal or percent.
Required
2 points
2
Question 9
9.
Would it be unusual to get a sample mean of 64.7 or more in a sample of size 20
when μ = 64?
Explain. Make sure to include the percent of those 64.7 or more in your explanation.
Required
3 points
3
Question 10
10.
Based on your answer to #9, is there convincing evidence that the mean height of the population of 16-year-old girls at this school is greater than 64 inches?