Question

In: Statistics and Probability

2. A sample of n = 16 difference scores from a repeated measures experiment has SS...

2. A sample of n = 16 difference scores from a repeated measures experiment has SS = 440. The average difference score is 3. For a two-tailed test, α = .05, is this a significant difference?

3. At the Olympic level of competition, even the smallest factors can make the difference between winning and losing. For example, research shows that Olympic marksmen shoot much better if they fire between heartbeats, rather than squeezing the trigger during a heartbeat. The small vibration caused by the heartbeat is sufficient to affect the marksman’s aim. A sample of n = 6 Olympic marksmen fired a series of rounds while a researcher recorded heartbeats. For each marksman, a score is recorded for shots fired during heartbeats and for shots fired between heartbeats. Do these data indicate a significant difference? Test with α = .05 and a two tailed test. (SS = 34.83, s² = 6.97).

                              During                    Between

Subject               Heartbeat               Heartbeats

     A                          93                              98

     B                          90                              94

     C                          95                              96

     D                          92                              91

     E                          95                               97

     F                          91                               97

Solutions

Expert Solution


Related Solutions

A. A sample of difference scores from a repeated-measures experiment has a mean difference of MD...
A. A sample of difference scores from a repeated-measures experiment has a mean difference of MD = 3 with an estimated standard error of sM = 1. If the sample size is n = 4, is this result sufficient to reject the null hypothesis, using a two-tailed test with alpha = .05? B. Hout, Duncan, and Sobel (1987) reported on the relative sexual satisfaction of heterosexual married couples. They asked each member of 91 couples to rate the degree to...
A sample of n = 16 scores is obtained from a population with µ = 50...
A sample of n = 16 scores is obtained from a population with µ = 50 and σ = 16. If the sample mean is M = 58, then what is the z-score for the sample mean? z = - 2.00 z = +0.50 z = +2.00 z = +8.00 A researcher selects a random score from a normally distributed population. What is the probability that the score will be greater than z = +1.5 and less than z =...
One sample has n = 13 with SS = 1652, and a second sample has n...
One sample has n = 13 with SS = 1652, and a second sample has n = 11 with SS = 1706. (a) Find the pooled variance for the two samples. (Use 3 decimal places.) (b) Compute the estimated standard error for the sample mean difference. (Use 3 decimal places.) (c) If the sample mean difference (M1 - M2) is 10 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a...
6.A sample of n = 16 scores is obtained from a population with µ = 50...
6.A sample of n = 16 scores is obtained from a population with µ = 50 and σ = 16. If the sample mean is M = 58, then what is the z-score for the sample mean? z = - 2.00 z = +0.50 z = +2.00 z = +8.00 7.A researcher selects a random score from a normally distributed population. What is the probability that the score will be greater than z = +1.5 and less than z =...
A researcher conducts a repeated-measures t-test to evaluate a treatment with a sample of n =...
A researcher conducts a repeated-measures t-test to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 2.94. The treatment is expected to change scores on a task. Which of the following is the correct decision for a hypothesis test using α = .05. Fail to reject the null hypothesis with either a one-tailed or a two-tailed test. Reject the null hypothesis with a one-tailed test but fail to reject with...
33.  A researcher obtains t = 2.35 for a repeated-measures study using a sample of n =...
33.  A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants.  Based on this t value, what is the correct decision for a two-tailed test? a.  reject the null hypothesis with α = .05 but not with α = .01 b.  reject the null hypothesis with either α = .05 or α = .01 c. fail to reject the null hypothesis with either α = .05 or α = .01 d.  cannot make a decision without additional...
33.  A researcher obtains t = 2.35 for a repeated-measures study using a sample of n =...
33.  A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants.  Based on this t value, what is the correct decision for a two-tailed test? a.  reject the null hypothesis with α = .05 but not with α = .01 b.  reject the null hypothesis with either α = .05 or α = .01 c. fail to reject the null hypothesis with either α = .05 or α = .01 d.  cannot make a decision without additional...
(a) Create a sampling distribution for the sample mean using sample sizes n=2. Take N=2000 repeated...
(a) Create a sampling distribution for the sample mean using sample sizes n=2. Take N=2000 repeated sample sizes of 2, and observe the histogram of the sample means. What shape does this sampling distribution have? The sampling distribution is normal The sampling distribution is triangular The sampling distribution is skewed right The sampling distribution is uniform (b) Now take N = 2000 repeated samples of size 8. Explain how the variability and the shape of the sampling distribution changes as...
difference between a repeated measures design and a matched pairs design?
difference between a repeated measures design and a matched pairs design?
A SAMPLE consists of the following: N=3 scores: 0, 4, 12 Find M (mean), SS (sum...
A SAMPLE consists of the following: N=3 scores: 0, 4, 12 Find M (mean), SS (sum of squares), s2 (variance), and s (standard deviation) Find the z scores for each score in the sample Transform the original sample into a new sample with a mean of M= 50, and s=10
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT