Question

In: Statistics and Probability

Sam Suffolk is a student in MAT103 at SCCC. Sam has data from a random sample...

Sam Suffolk is a student in MAT103 at SCCC. Sam has data from a random sample of 20 students that represents how many miles​ (rounded to the nearest whole​ mile) each student lives from the SCCC Ammerman campus. Sam organizes this data in the following frequency distribution table. Look at the table carefully and answer the questions that follow.

Distance                                            

frequency

0​ - 10

8

10​ - 19

5

20​ - 29

3

30​ - 49

5

50​ - 59

2

Sam made two mistakes when creating the classes for this table. Assuming​ Sam's frequencies are​ correct, despite the errors in the class​ limits, answer each of the following.

​Note: The first two lower class limits are correct.

​(a) Identify​ Sam's mistakes.

​(b) Can we determine how many students live 10 miles from the​ campus? If​ so, how​ many? If​ not, why​ not?

​(c) Give an estimate of the number of students in the sample that live more than 25 miles from the campus. If more than one frequency is​ possible, state all possible values.

Solutions

Expert Solution

Sam done two mistakes that are clear in the corrected class table in answer


Related Solutions

A random sample of 59 students was selected from the PSU student data base. Each student...
A random sample of 59 students was selected from the PSU student data base. Each student was asked their Sex and Height (in inches). Below are the summary results: Sex N Mean SD Female 42 66.10 2.58 Male 17 70.12 3.66 a)   Using the summary information, estimate with 99% confidence the difference in heights between the sexes and interpret these results. What are the exact degrees of freedom used in the calculation of the t-statistic? b)   Is there enough evidence...
A random sample of 59 students was selected from the PSU student data base. Each student...
A random sample of 59 students was selected from the PSU student data base. Each student was asked their Sex and Height (in inches). Below are the summary results: Sex N Mean SD Female 42 66.10 2.58 Male 17 70.12 3.66 a)   Using the summary information, estimate with 99% confidence the difference in heights between the sexes and interpret these results. What are the exact degrees of freedom used in the calculation of the t-statistic? b)   Is there enough evidence...
A random sample of 30 Suffolk University employees had an average commute length of 13.5 miles,...
A random sample of 30 Suffolk University employees had an average commute length of 13.5 miles, with a standard deviation of 7.5 miles. What is the 90% confidence interval for the mean commute length of all Suffolk employees? Use 4 non-zero decimal places in your calculations. (a) Find the tα/2 , df (b) Find σx (c) Find the margin of error (MoE) and construct the confidence interval
ONE SAMPLE T TEST A random sample of 22 students’ weights from the student population of...
ONE SAMPLE T TEST A random sample of 22 students’ weights from the student population of palamar college were taken. The average weight of the population of college students is µ = 140. The 22 students in the sample had the following weights: X 135   205 119   195 106   185 135   182 180   150 108   175 128   190 160   180 143   195 175   220 170   235 Please state your null hypothesis and alternative hypothesis, both as an equation and in...
Maria has data from a random sample of 16 subjects and is constructing a 95% confidence...
Maria has data from a random sample of 16 subjects and is constructing a 95% confidence interval for the population mean. Which value should she use for t*, her critical value?
Consider class data set to represent a simple random sample of the student. Construct the confidence...
Consider class data set to represent a simple random sample of the student. Construct the confidence intervals required and also write sample statistics calculated for each. a) Calculate the 9% t-confidence interval for the mean pulse of all the student B) Calculate the 95%confidence interval for the true proportion of all student who are registered Voter Reg    Pulse Rate 64 75 74 65 72 72 60 66 60 69 89 64 71 50 80 80 62 85 60 65...
A graduate student obtains data from a sample of children with ADHD. The data represent level...
A graduate student obtains data from a sample of children with ADHD. The data represent level of activity where higher scores indicate more activity and are as follows: 31, 32, 38, 32, 31. a) Find the median. b) Find the mean. c) Find the range. d) Find the standard deviation. e) Find the z-score for child 3. f) Find the z-score for child 1. g) For child 4, find the standardized score with a mean of 52 and variance of...
A student is interested in the sleep quality of students. That student selects a random sample...
A student is interested in the sleep quality of students. That student selects a random sample of 21 students (age 19-24 years) from each four undergraduate years (Freshman, Sophomore, Junior and Senior), and applies Pittsburgh Sleep Quality Index (PSQI) and obtains their responses. PSQI includes 19 self-reported items and is designed to evaluate overall sleep quality (Data are presented in Table 1 below). The student is interested in determining whether there is any evidence of a difference in sleep quality...
A student conducts a simple random sample of students from her high school and finds that...
A student conducts a simple random sample of students from her high school and finds that 21 out of 100 students in her sample regularly walk to school. Give a point estimate for the proportion of all students at her high school who regularly walk to school. For each combination of sample size and sample proportion, find the approximate margin of error for the 95% confidence level. (Round the answers to three decimal places.) In a sample of 16 students,...
The following random sample of weekly student expenses in dollars is obtained from a normally distributed...
The following random sample of weekly student expenses in dollars is obtained from a normally distributed population of undergraduate students with unknown parameters. 8 56 76 75 62 81 72 69 91 84 49 75 69 59 70 53 65 78 71 87 71 74 69 65 64 You have been charged to conduct a statistical test in SPSS to verify the claim that the‘average weekly student expenses’ is different than 74 dollars using an alpha level of 5%.            ...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT