Question

In: Statistics and Probability

(a) A study of 4-year college graduates showed that the average graduate had 132 credit hours....

(a)

A study of 4-year college graduates showed that the average graduate had 132 credit hours. The following 6 samples of credit hours were recorded from Maryland college's students concerning their credit hours upon graduation:

                                      137, 135, 151, 122, 131, 141

i.

Calculate the sample mean and sample standard deviation.

ii.

Construct a 95% confidence interval for the population mean number of credit hours for 4-year graduates                                                                                                         

iii.

Is there significant evidence to suggest that the average number of credit hours for 4-year graduates is different from 132 credit hours? Test at the 1% significance level.

Solutions

Expert Solution


Related Solutions

A recent study of debt among college graduates reported that the average debt accumulated by graduates...
A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was ​$37,400​, with a sample standard deviation of ​$2,068​, while the average debt accumulated by graduates of public colleges was ​$11,800​, with a sample standard deviation of ​$2,101. The sample sizes were 70 and 180​, respectively. Complete parts a and b below. A. what is the test statistic? Use a significance level of 0.10 B. what is the p value
A recent study of debt among college graduates reported that the average debt accumulated by graduates...
A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was ​$38,100 with a sample standard deviation of $2,042 while the average debt accumulated by graduates of public colleges was ​$11,800 with a sample standard deviation of $2,110 The sample sizes were 60and 190​, respectively. Complete parts a and b below. a. Examine the sample standard deviations. What do these suggest is the relationship between the two population standard​ deviations? Support...
Suppose 38% of recent college graduates plan on pursuing a graduate degree. Twenty recent college graduates...
Suppose 38% of recent college graduates plan on pursuing a graduate degree. Twenty recent college graduates are randomly selected. a. What is the probability that no more than four of the college graduates plan to pursue a graduate degree? (Do not round intermediate calculations. Round your final answers to 4 decimal places.) b. What is the probability that exactly five of the college graduates plan to pursue a graduate degree? (Do not round intermediate calculations. Round your final answers to...
A study claim that students in two-year college work on average of 20 hours a week....
A study claim that students in two-year college work on average of 20 hours a week. A teacher wanted to test this claim. She took a sample of 12 students and asked them about the number of hours they work per week. The following are their responses: 14 25 22 8 16 26 19 23 41 33 21 20 Assume that the number of hours worked by all two-year college students is normally distributed. a.Calculate the (approximate) value of the...
Reports suggest that the average credit card debt for recent college graduates is $3000. FedLoan Servicing...
Reports suggest that the average credit card debt for recent college graduates is $3000. FedLoan Servicing believes the average debt of graduates is much less than this, so it conducts a study of 50 randomly selected graduates and finds that the average debt is $2975, and the population standard deviation is $1000. Let’s conduct the test based on a Type I error of α=0.05.
A 2010 study asserts that the number of hours that the average college student studies each...
A 2010 study asserts that the number of hours that the average college student studies each week has been steadily dropping (The Boston Globe, July 4, 2010). In fact, the researchers state that, in the U.S., today’s undergraduates study an average of 14 hours per week. Suppose an administrator at a local university wants to show that the average study time of students at his university differs from the national average. He takes a random sample of 35 students at...
Data on 43 college graduates show that the mean time required to graduate with a​ bachelor's...
Data on 43 college graduates show that the mean time required to graduate with a​ bachelor's degree is 5.14 years with a standard deviation of 1.66 years. Use a single value to estimate the mean time required to graduate for all college graduates.​ Also, find the​ 95% confidence interval for the mean time required to graduate for all college graduates. The mean time required to graduate for all college graduates is approximately ? years (round to nearest hundreth as needed)...
Suppose 44% of recent college graduates plan on pursuing a graduate degree. Twenty six recent college...
Suppose 44% of recent college graduates plan on pursuing a graduate degree. Twenty six recent college graduates are randomly selected. a. What is the probability that no more than seven of the college graduates plan to pursue a graduate degree? (Do not round intermediate calculations. Round your final answers to 4 decimal places.) b. What is the probability that exactly thirteen of the college graduates plan to pursue a graduate degree? (Do not round intermediate calculations. Round your final answers...
The average salary for American college graduates is $48,000. You suspect that the average is different...
The average salary for American college graduates is $48,000. You suspect that the average is different for graduates from your college. The 50 randomly selected graduates from your college had an average salary of $53,352 and a standard deviation of $14,890. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0:  ?...
The average salary for American college graduates is $43,500. You suspect that the average is different...
The average salary for American college graduates is $43,500. You suspect that the average is different for graduates from your college. The 52 randomly selected graduates from your college had an average salary of $39,906 and a standard deviation of $14,280. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0:  ?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT