In: Statistics and Probability
Questions 1 to 5 will be based on the following problem.
A researcher is testing the hypothesis that consuming a sports drink during exercise improves endurance. A sample of n=49 college students is obtained and each student is given a series of three endurance tasks and asked to consume 4 ounces of the drink during each break between tasks. The overall endurance score for this sample is M =52. For the general population of male college students, without any sports drink, the scores for this task average µ = 50 with a standard deviation of σ = 14.
Are the endurance scores with the sports drink significantly higher than endurance scores without the drink ? Use a one-tailed test with α=.01
The null hypothesis in words is:
Endurance scores with the sports drink are significantly higher than endurance scores without the drink
Endurance scores with the sports drink are not significantly higher than endurance scores without the drink
Endurance scores with the sport drink are not significantly different from endurance scores without the drink
Endurance scores with the sport drink are significantly different from endurance scores without the drink
b)The alternative hypothesis in symbols is:
c)The critical z value is
d)The z-score statistic is:
e)Your decision is
eject the null hypothesis and conclude that a sports drink significantly increases endurance scores
Fail to reject the null hypothesis and conclude that a sports drink significantly increases endurance scores
Reject the null hypothesis and conclude that a sports drink does not significantly increase endurance scores
Fail to reject the null hypothesis and conclude that a sports drink does not significantly increase endurance scores
None of the above
Childhood participation in sports, cultural groups and youth groups appears to be related to improved self-esteem for adolescents (McGee et al., 2006). A sample of n =100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 40 and a standard deviation of σ = 12. The sample of group participation adolescents had an average of M = 44.
Is there enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α=.05.
The alternative hypothesis in words is
Self-esteem scores of children who are engaged in group participation are not significantly greater than those of the general population.
Self-esteem scores of children who are engaged in group participation are significantly greater than those of the general population.
Self-esteem scores of children who are engaged in group participation are significantly different from those in the general population
Self-esteem scores of children who are engaged in group participation are not significantly different from those of the general population.
b)The null hypothesis in symbols is
c)The critical z values are
d)The z-score statistic is:
e)Your decision is
Reject the null hypothesis and conclude that group participation affects self-esteem
Reject the null hypothesis and conclude that group participation does not affect self-esteem
Fail to reject the null hypothesis and conclude that group participation affects self-esteem
Fail to reject the null hypothesis and conclude that group participation does not affect self-esteem