Exam 6: Characteristics of the Sample Mean

A parent decides to reward her child if he eats an average of at least five bites of his vegetables at dinner during the first week.She finds that her child ate 4 0.8 (M SD)bites per meal for the first week.Assuming these data are normally distributed,should this parent reward her child?

The normal distribution has all of the following characteristics,except that

An assumption of normality is largely used for statistical inference and theory.

Which of the following is a possible value for the standard deviation of a normal distribution?

What is the z score for scores in the top and bottom 2.5%?

A z score for the mean in a normal distribution is always equal to 0.

Which proportion is largest in a z distribution?

It is appropriate to use the normal approximation of the binomial distribution with a sample of 100 participants,where p = .07 and q = .93.

Which of the following is not a step to locate a score in a normal distribution?

What is the z score for scores in the top 2.5%?

A counselor records the number of disagreements (per session)among couples during group counseling sessions.If the number of disagreements is distributed normally as 4.4 0.4 (M SD)disagreements,then what proportion of couples disagree at least 4 times during each counseling session?

Which of the following is an appropriate step for the normal approximation of the binomial distribution?

Which of the following is required to locate z scores with a given proportion?

The ________ are the range of continuous values containing the score of interest in a binomial distribution.

A researcher records the following response times to a visual stimulus: 23 3.1 (M SD)seconds.Assuming these data are normally distributed,what is the probability that participants responded in 20 seconds or less?

The total area under a normal curve increases as the standard deviation increases.

A researcher measures the number of tasks completed by participants during a 5-minute multitasking session.If the number of tasks completed is distributed normally as 6.3 1.0 (M SD)tasks,then what is the probability that participants completed less than 8 tasks?

The mean can take on any value and the standard deviation can take on any positive value.Therefore,

In a normal distribution,the probability of a score above -1.0 SD is equal to the probability of a score below +1.0 SD.

A researcher records the following body mass index (BMI)scores for a group of participants: 28.4 1.6 (M SD).Participants who score between 25 and 30 on this scale are categorized as overweight.What percentage of participants fell in this category?