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In: Statistics and Probability

A researcher wanted to study the effects of mentoring on emotional intelligence of at-risk teens. He...

A researcher wanted to study the effects of mentoring on emotional intelligence of at-risk teens. He used a standardized test which has a mean of 100 and standard deviation of 16. The 50 students in his study scored an average of 102 on the IQ test. Are the mentored students reflective of the regular population? Test the hypothesis using a .05 alpha.

1a. State your conceptual null hypothesis (This is the one in words!)

1b. Record your mathematical null hypothesis below (This is the one with numbers and math symbols)

1c. State your conceptual alternative hypothesis (This is the one in words!)

1d. Record your mathematical alternative hypothesis below (This is the one with numbers; type out “not =” for the not-equal sign)

2. Alpha level given to test _______; z-critical [critical region associated with that alpha level -see lecture] _________

3. Which hypothesis test should we use? Z-test or One-sample t-test?

4. On scratch paper: Work out formula and plot your values on the normal curve. What is the z-score you obtained? z-obt = ____________

5. What is your final decision? __________ the null and conclude that ______.

A life coach wants to know if his clients are representative of the average population regarding their motivation for success. He administers a well-known survey that has a mean of 43. His 21 clients took the survey and they had a mean of 57 with a standard deviation of 4. Are they reflective of the regular population? Test the hypothesis using a .05 alpha.

1a. State your conceptual null hypothesis (This is the one in words!)

1b. Record your mathematical null hypothesis below (This is the one with numbers and math symbols)

1c. State your conceptual alternative hypothesis (This is the one in words!)

1d. Record your mathematical alternative hypothesis below (This is the one with numbers; type out “not =” for the not-equal sign)

2. Alpha level given to test _______; z-critical [critical region associated with that alpha level -see lecture] _________

3. Which hypothesis test should we use? Z-test or One-sample t-test?

4. On scratch paper: Work out formula and plot your values on the normal curve. What is the z-score you obtained? z-obt = ____________

5. What is your final decision? __________ the null and conclude that _______ .

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orchestra answered 2 years ago
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