Question

Listening to music has long been thought to enhance intelligence, especially during infancy and childhood. To test whether this is true, a researcher records the number of hours that eight high-performance students listened to music per day for 1 week. The data are listed in the table.

Music Listening per Day (in hours)

3.6

4.2

5.9

4.7

3.9

4.4

5.0

5.2

Suppose the null hypothesis states that students listen to 3.5 hours of music per day.

Conduct a one-sample t-test (two-tailed with an alpha of .05) and answer the following questions.

1. What is the sums of squares?

2. What is the variance?

3. What is the standard deviation?

4. What is the t critical?

5. What is the t obtained?

6. What is your decision regarding the null hypothesis?

Answer 1

1) sums of squares =3.9088

2) variance =0.5584

3)std deviation =0.7473

4) t critical =-/+ 2.365

5) t obtained =4.211

6)reject HO and conclude that average differs from 3.5