In the population of female students, motivation scores follow a normal distribution with an average of 29 and a standard deviation of 4.3 . A random sample of female students is to be taken. They are all asked to answer the motivation questionnaire so that their motivation scores can be determined. If the sample size is 50, what is the probability that the mean score of the female students in the sample will fall below 27?
a. < 0.0001
b. 0.0005
c. 0.0188
d. 0.3192
Q. 2Which one of the following is not true about hypothesis tests?
a. Hypothesis tests are only valid when the sample is representative of the population for the question of interest.
b. Hypotheses are statements about the population represented by the samples.
c. Hypotheses are statements about the sample (or samples) from the population.
d. Conclusions are statements about the population represented by the samples.
Q. 3In the population of female students, motivation scores follow a normal distribution with an average of 29 and a standard deviation of 4.3 . A random sample of female students is to be taken. They are all asked to answer the motivation questionnaire so that their motivation scores can be determined. If the sample size is 20, what is the probability that the mean score of the female students in the sample will fall below 27?
a. < 0.0001
b. 0.0005
c. 0.0188
d. 0.3192
Q. 4A result is called statistically significant whenever
a. the null hypothesis is true.
b. the alternative hypothesis is true.
c. the p-value is less than or equal to the significance level.
d. the p-value is larger than the significance level.
Q. 5Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 and a standard deviation of 5 . The average exam score in your lab was 59.5 . The 20 students in your lab sections will be considered a random sample of all students who take this class. What is the probability that the average score of a random sample of 20 students exceeds 59.5?
a. < 0.0001
b. 0.0009
c. 0.0026
d. 0.2420
Q. 6In hypothesis testing for one proportion, the null value is used in which of the following?
a. The null hypothesis.
b. The alternative hypothesis.
c. The computation of the test statistic.
d. All of the above.
Q. 7Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 and a standard deviation of 5 . The average exam score in your lab was 59.5 . The 20 students in your lab sections will be considered a random sample of all students who take this class. What is the standard deviation of the distribution of the average exam score of the 20 students in your lab section?
a. 0.25
b. 1.12
c. 1.25
d. 5
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