Question

1. A researcher wants to investigate the relationship between 3 year olds watching Sesame Street and vocabulary. She asks the parents how much Sesame Street their child watches per week then ascertains how many words that child knows. The data is as follows:

Participant | Hours watching sesame street per week | words known |
---|---|---|

A | 8 | 200 |

B | 10 | 210 |

C | 4 | 270 |

D | 2 | 250 |

E | 4 | 310 |

F | 7 | 309 |

G | 3 | 275 |

H | 5 | 290 |

I | 6 | 342 |

b. What are the null and research hypotheses?

c. What is the mean of X?

What is the mean of Y?

Find the deviances for both groups. (X – My) and (Y – My)

Multiply the deviances like in the lecture

Sum these.

What number do you get? ___________________________

This is the numerator

Square the deviances in X and Y

What is the Sum of Squares of X?

What is the Sum of Squares of Y?

What do you get when you multiply SSx and SSy?
_______________________________

Take the square root of that ____________________________

This is your denominator

d. What is r? ______________________

e. What is the critical value?
___________________________________

f. What is your decision? __________________________

Answer #1

A researcher measures the relationship between sleep medication
use (times used per week) and time spent working (in hours per
week). Are they significantly correlated? Conduct a hypothesis test
at the .05 significance level.
Sleep Medication Use
Time Spent Working
Deviation Scores
Sum of Squares
X
Y
X-Mx
Y-MY
(X-Mx)
(Y-MY)
(X-Mx)2
(Y-MY)2
8
18
3
40
6
20
2
32
Mx=
MY =
SSXY=
SSX=
SSY=
Hypotheses:
Critical Value:
r =
Decision:

A researcher measures the relationship between education (in
years) and investment gains (in thousands of dollars). Are they
significantly correlated? Conduct a hypothesis test at the .05
significance level.
Education
Investment Gains
Deviation Scores
Sum of Squares
X
Y
X-Mx
Y-MY
(X-Mx)
(Y-MY)
(X-Mx)2
(Y-MY)2
14
8
12
11
9
10
18
14
Mx=
MY =
SSXY=
SSX=
SSY=
Hypotheses:
Critical Value:
r =
Decision:

1. A researcher wants to investigate whether or
not a significant relationship exists between the number of wins
the softball team has and the number of wins the baseball team has.
What should they use?
A. Range
B. Chi-Square
C. Correlation
D. T-test
2. A researcher wants to find out which campus
organization has the most student members. What should they
use?
A. Range
B. Chi-Square
C. Mode
D. Correlation
3. A researcher wants to see if a 5-minute
exercise routine, a 15-minute exercise routine, or...

*This question has several parts*
Seven participants were asked about the average number of hours
they spent watching TV per week and the average number of hours of
sleep they had per week. Responses from the 7 participants are
presented in the table below.
Participant
Average number of hours watching TV per
week (X)
Average number of hours of sleep per
week (Y)
A
12
38
B
30
45
C
23
42
D
5
64
E
10
43
F
14...

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