WorksheetsTpoic 6,7,&8
Total questions: 10
Worksheet time: 15mins
A researcher wants to determine if the average age of marathon runners in a city is greater than 30 years. Which of the following hypotheses should be tested?
Ho: μ = 30, Ha: μ > 30
Ho: μ = 30, Ha: μ < 30
Ho: μ = 30, Ha: μ ≠ 30
Ho: μ >30, Ha: μ < 30
In a study comparing the proportion of students who pass a standardized test in two different schools, which of the following statistical tests should be used?
One Sample T-test
Chi-Square Test for Independence
Paired T-test
Two Proportion Z-test
A company wants to compare the mean productivity of two different departments. Which of the following statistical tests should be used?
Paired T-test
Chi-Square Test for Independence
Two Sample T-test
One Sample T-test
A researcher wants to determine if there is a difference in the proportion of customers who prefer android or Iphone. Which of the following statistical tests should be used?
Two Proportion Z-test
Chi-square test for independence
One Sample T-test
Paired t-test
A tech analyst wants to compare the average download speed of two different models of Apple iPhones: Model A and Model B. In a random sample of 80 Model A iPhones, the average download speed is 50 Mbps with a standard deviation of 10 Mbps, while in a random sample of 90 Model B iPhones, the average download speed is 55 Mbps with a standard deviation of 12 Mbps. What is the test statistic for comparing the average download speeds of the two models?
3.90
-0.296
-2.73
-1.67
A school district wants to investigate whether the proportion of students who own tablets is different between two schools: School A and School B. A random sample of 200 students from School A shows that 120 students own tablets, while a random sample of 250 students from School B shows that 140 students own tablets. What is the test statistic for comparing the proportions of students who own tablets between the two schools?
-0.428
-1.25
1.354
0.71
A bakery claims that 80% of its customers prefer chocolate cake over vanilla cake. To test this claim, a random sample of 150 customers is selected, and it is found that 120 of them prefer chocolate cake. What is the test statistic for testing the bakery's claim?
-0.25
0.20
0.75
-0.50
A conservationist wants to estimate the proportion of turtles in a lake that are of a certain endangered species. A random sample of 100 turtles is collected, and 25 of them belong to the endangered species. What is the point estimate of the proportion of turtles in the lake that belong to the endangered species?
0.25
0.20
0.75
0.50
A candy manufacturer claims that the distribution of colors in their bag of candies is equal. To test this claim, a sample of 200 candies is selected, and the distribution of colors is recorded. The observed and expected frequencies are as follows:
```
| Red | Blue | Green | Yellow | Total
----------------------------------------------
Observed | 50 | 40 | 60 | 50 | 200
Expected | 50 | 50 | 50 | 50 | 200
``
What is the value of the chi-square test statistic for testing the equality of color distribution in the bag of candies?
6
0
2
4
A survey is conducted to investigate the preference for different types of candies among children. The survey includes three types of candies: chocolate, lollipops, and gummy bears. A random sample of 300 children is selected, and their preferences are recorded. The observed and expected frequencies are as follows:
```
| Chocolate | Lollipops | Gummy Bears | Total
------------------------------------------------------------
Observed | 120 | 100 | 80 | 300
Expected | 100 | 100 | 100 | 300
```
What is the value of the chi-square test statistic for testing the association between candy preference and children?
8
4
2
16
