Question

Match each scenario to the correct statistical test. You may use the tests more than once, and you may not use all of the tests. The solutions will spell out a very important clue about the suspect.

____ According to a recent research study, about 90% of American adults are right-handed, 9% are left-handed, and 1% are ambidextrous. Use a simple random sample of size 80 to determine whether the proportions of CRC students who are right-handed, left-handed, and ambidextrous differ from the national values.

____ Use a sample of size 100 to determine whether the average time spent browsing Netflix for something to watch is greater than 24 minutes. Based on prior data, the population standard deviation is 4.2 minutes.

____ Use a sample of size 45 to determine whether the proportion of CRC students who want to go back to campus is more than 70%.

____ Use a sample of size 50 to determine whether more than 78% of technology companies have Twitter accounts.

• ____ Use a sample of 30 large-sized sodas from each of 5 fast-food restaurants to determine whether the mean volume differs among the restaurants.

• ____ Use a simple random sample of size 200 to determine whether the mean amount of time college students spend watching TV per week is greater than 20 hours. The population standard deviation is unknown.

  ____ Use two samples of size 40 to determine whether the proportion students who withdrew from at least one class this semester is less at CRC than Sierra College.

  ____ Use a sample of size 93 to determine whether a particular diet produces a mean weight loss that is greater than 5 lbs. The population standard deviation is known from prior data.

  ____ Use a sample of 38 Canadian adults and 27 American adults to determine whether the proportion of adults with college degrees is different in Canada and the U.S.

  

L. Least-squares regression

A. Binomial test
E. One sample t-test
M. Two proportion z-test

T. One proportion z-test
O. One sample z-test
N. Chi-square goodness-of-fit test

H. One-way ANOVA

S. Tukey-Kramer test

F. Two sample t-test

Suspect(s) eliminated:

Answer 1

According to a recent research study, about 90% of American adults are right-handed, 9% are left-handed, and 1% are ambidextrous. Use a simple random sample of size 80 to determine whether the proportions of CRC students who are right-handed, left-handed, and ambidextrous differ from the national values.

Chi-square goodness-of-fit test

Use a sample of size 100 to determine whether the average time spent browsing Netflix for something to watch is greater than 24 minutes. Based on prior data, the population standard deviation is 4.2 minutes.

One sample z-test

Use a sample of size 45 to determine whether the proportion of CRC students who want to go back to campus is more than 70%.

One proportion z-test

Use a sample of size 50 to determine whether more than 78% of technology companies have Twitter accounts.

Binomial test

Use a sample of 30 large-sized sodas from each of 5 fast-food restaurants to determine whether the mean volume differs among the restaurants.

One-way ANOVA

Use a simple random sample of size 200 to determine whether the mean amount of time college students spend watching TV per week is greater than 20 hours. The population standard deviation is unknown.

One sample t-test

Use two samples of size 40 to determine whether the proportion students who withdrew from at least one class this semester is less at CRC than Sierra College.

Two proportion z-test

Use a sample of size 93 to determine whether a particular diet produces a mean weight loss that is greater than 5 lbs. The population standard deviation is known from prior data.

One sample z-test

Use a sample of 38 Canadian adults and 27 American adults to determine whether the proportion of adults with college degrees is different in Canada and the U.S.

Two proportion z-test

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