The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20. What is the best point estimate of the true average score in this standardized mathematics test?

Question 14A random sample of 61 Basic Statistics students were asked what they thought of statistics on a scale of 0 (very stupid) to 100 (very nice). Interestingly, students seem to find statistics quite nice: the sample mean equals 83. The sample standard deviation equals 7. We know that the standard deviation in the population (all BS students) is 8. Calculate the 90% confidence interval. 1 point(81.53, 84.47) (81.24, 84.76) (81.32, 84.68) (80.99, 85.01)

On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 12. The scores were normally distributed. Complete the following statements.(a) Approximately 95% of the students scored between and .(b) Approximately of the students scored between 13 and 85.

The points scored on a test for a sample of 36 students are summarized in the following table.Number of students Score for each student7 9015 8014 70Find the mean points scored. Round your answer to the nearest tenth.points

Question 4Your instructor tells you that the recent exam had a mean of 80 points and a standard deviation of 2.3. Interpret the standard deviation value in everyday language.1 pointThe maximum score was 82.3.Most students earned an 80 on the exam.The typical score was 2.3 points away from the mean.The range of scores was 4.6.

Question 2381 random elementary schools were asked for their average exam scores (sample mean = 535, sample standard deviation = 7). Calculate the 98% confidence interval.1 point(528.00, 542.00)(533.15, 536.85)Not possible to calculate based on this information.(533.41, 536.59)