Which type of test for significance?

A box of Raspberry Crunch cereal contains a mean of 13 ounces with a standard deviation of 0.5 ounces.  The distribution of the contents of cereal boxes is approximately Normal.  The cereal company is afraid the boxes being over filled.  Suppose they get a random sample of 25 boxes, and find a mean of 13.2 and a standard deviation of 0.154.  Does this give evidence that the boxes are being overfilled?

• 1 sample t-test
• 2 sample t-test
• 1 proportion z-test
• chi-squared GOF test

Tags

CCSS.HSS.ID.A.4

The football coach thinks about half his players are skipping leg day in the gym.  He follows 10 of his players around for a week, he found that 6 of them skipped leg day in the gym.  Does this give evidence that over half of his students are skipping leg day?

• 1 sample t-test
• 1 proportion z-test
• 2 sample t-test
• chi-squared test for independence

Tags

CCSS.HSS.IC.B.4

A random sample of 49 medical doctors in LA showed that they worked an average of 53.1 hours/week with a standard deviation of 7.2 hours/week.  If the California average is 60 hours/week, does this give evidence that the LA doctors work significantly less than the rest of California?

• 1 sample t-test
• 2 sample t-test
• 1 proportion z-test
• 2 proportion z-test

Tags

CCSS.HSS.ID.A.4

USA Today reported that in 1992, 39% of all elementary school children claimed that when they grow up they want to do something to help other people.  However, in 1995, 128 of a random sample of 317 of these same children claimed that when they grow up they want to do something to help other people.  Does this information indicate that there has been an attitude change either way?

• 1 proportion z-test
• 2 proportion z-test
• 1 sample t-test
• 2 sample t-test

The manager of a sporting goods store offered a bonus commission to his salespeople when they sold more goods.  A new manager dropped the bonus system.  For a random sample of six sales, the weeks sales (in thousands of dollars) were 3.7 with the bonus, SD of .15, and 3.3 without the bonus, SD of .21.  Does this imply that sales dropped when the bonus system was discontinued?

• 1 sample t-test
• 2 sample t-test
• 1 proportion z-test
• 2 proportion z-test

Tags

CCSS.HSS.ID.A.4

In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, “People should take care of themselves.”  Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement.  Does this indicate that the proportion of U.S. adults who strongly agree with the given statement has dropped?

• 1 proportion z-test
• 2 proportion z-test
• 1 sample t-test
• 2 sample t-test

Tags

CCSS.HSS.IC.B.4

• chi-square test for homogeneity
• chi-square test for independence
• chi-square GOF test
• chi-square YOLO test

• chi-square test for homogeneity
• chi-square test for independence
• chi-square GOF test
• chi-square AP test

If you want to see if the color distribution of skittles matches want the companies claim is, which test should you use?

• chi-square test for homogeneity
• chi-square test for independence
• chi-square GOF test
• chi-square LFHS test