Suppose that in a large population of students, the mean amount of sleep the previous night was μ = 7.15 hours and the standard deviation was σ = 1.5 hours. Consider randomly selected samples of n = 240 students.
(a) What is the value of the mean of the sampling distribution
of possible sample means?
Mean =
(b) Calculate the standard deviation, s.d., of the sampling
distribution of possible sample means. (Round your answer to three
decimal places.)
s.d.(x)
=
(c) Use the Empirical Rule to find values that fill in the blanks
at the end of the following sentence. (Round your answers to three
decimal places.)
For 68% of all randomly selected samples of n = 240 students, the mean amount of sleep the previous night will be between and hours.
(d) Use the Empirical Rule to fill in the blanks at the end of the
following sentence. (Round your answers to three decimal
places.)
For 95% of all randomly selected samples of n = 240 students, the mean amount of sleep will be between and hours.
In: Statistics and Probability
Teachers at a particular private school thought that they were doing an exceptional job. In order to determine just how good their school was doing, they decided to have 200 of their students undergo intelligence testing just prior to graduation. The particular intelligence test they used is normed to have a mean of 100 and a standard deviation of 15 in the population. The students from the private school scored an average of 97 over the three years that testing was conducted. They wanted to test whether the average score from the private school students was different than the population mean.
a) What is the appropriate model of the population distribution?
b) What are the appropriate hypotheses for this analysis?
c) What is/are the critical value(s) for this test using an alpha of 0.01?
d) What is the observed value of the appropriate test statistic?
e) What is your decision regarding the stated hypotheses?
f) Was the school doing an exceptional job based on their students’ IQs?
bold answers.
In: Statistics and Probability
You are interested in finding a 98% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 11 randomly selected college students. Round answers to 3 decimal places where possible.
6 8 3 4 0 4 6 8 11 6 12
a. To compute the confidence interval use a _____distribution.
b. With 98% confidence the population mean number of days of class that college students miss is between _____and ______days.
c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About _____percent of these confidence intervals will contain the true population mean number of missed class days and about _____percent will not contain the true population mean number of missed class days.
In: Statistics and Probability
Answer the following questions based on the information provided
below:
You are conducting a study to determine the impact of a new reading
intervention on students test scores. You randomly assign 40
students to either the intervention group or the control group
(those not participating in the intervention). You also break the
students into morning and afternoon classes to determine which is
the best time of day to conduct the intervention.
1. What is the dependant variable?
2. What is/are the independent variable(s)?
3. How many cells will there be?
4. If we divide the groups evenly how many students will appear in each cell?
5. What type of design is this? (Again, Be Specific!)
6. Assume that you conduct an ANOVA with 3 groups and 60 subjects (evenly divided between the 3 groups) and receive an F-value of 3.30. How would you write this result in a study? (Be sure to include whether or not it is a significant result)
In: Statistics and Probability
A researcher at a college hears students complain that they
don’t have enough time to in their week to study. He believes that
the students at the college are spending much more time on
Facebook, Twitter, and Instagram than they did three years ago. He
knows that three years ago, the mean number of hours per week
students spent of social media was 15.1 hours. He takes a sample of
16 students and finds they spend 23.3 hours per week on social
media with SS=240.
a)Conduct a t-test to see is his theory is correct. (Be sure to show all 4 steps of a hypothesis test. Also be sure to consider if this is a one-tailed or two-tailed test.)
b)Measure effect size using Cohen's D.
c)Measure effect size using percentage of variance explained (r).
d)Estimate effect size by constructing 90% an confidence interval.
In: Statistics and Probability
While discussing the increased use of technology to gather, store, and access healthcare information, senior nursing students discuss the importance of preventing data security breaches and the implication of such breaches on nurses professionally. The class is divided into groups to research and prepare information on various relevant topics to present to the entire class.
Part 2
Nursing education is adopting e-learning and simulation experiences for the students. Two junior-level nursing students, Gene and Linda, are discussing the merits of this type of nursing-focused learning.
In: Nursing
You are interested in finding a 90% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 14 randomly selected college students. Round answers to 3 decimal places where possible. 1 8 10 9 1 3 1 8 1 0 2 1 5 8 a. To compute the confidence interval use a distribution. b. With 90% confidence the population mean number of days of class that college students miss is between and days. c. If many groups of 14 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of missed class days and about percent will not contain the true population mean number of missed class days.
In: Statistics and Probability
You are interested in finding a 95% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 13 randomly selected college students. Round answers to 3 decimal places where possible. 10 5 2 4 1 2 1 0 1 9 9 10 5 a. To compute the confidence interval use a distribution. b. With 95% confidence the population mean number of days of class that college students miss is between and days. c. If many groups of 13 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of missed class days and about percent will not contain the true population mean number of missed class days.
In: Statistics and Probability
The Graduate Record Examination (GRE) is a test required for admission to many US graduate schools. Student’s scores on the quantitative portion of the GRE follow a normal distribution with standard deviation of 8.8. Suppose a random sample of 10 students took the test, and their scores are given below:
152, 126, 146, 149, 152, 164, 139, 134, 145, 136
PLEASE TYPE DONT WRITE THANK YOU!!
In: Math
Contingency tables may be used to present data representing scales of measurement higher than the nominal scale. For example, a random sample of size 20 was selected from the graduate students who are U.S. citizens, and their grade point averages were recorded. 3.42 3.54 3.21 3.63 3.22 3.8 3.7 3.2 3.75 3.31 3.86 4 2.86 2.92 3.59 2.91 3.77 2.7 3.06 3.3 Also, a random sample of 20 students was selected from the non-U.S. citizen group of graduate students at the same university. Their grade point averages were as follows. 3.50 4.00 3.43 3.85 3.84 3.21 3.58 3.94 3.48 3.76 3.87 2.93 4.00 3.37 3.72 4.00 3.06 3.92 3.72 3.91 Test the null hypothesis that the proportion of graduate students with averages of 3.50 or higher is the same for both the U.S. citizens and the non-U.S. citizens
In: Math