1) Suppose you are a 20 year old student and you have convinced your parents to letyou live off campus. Remarkably, they have agreed to pay for your housing.Suppose your parents claim that one-bedroom apartments cost an average of $600per month. You disagree, and think one-bedroom apartments are more expensivethan that. Suppose you went to the local paper and found 40 one-bedroomapartments listed. You calculate a sample mean of x = $600 with a standarddeviation of ơ = $50. You and your parents have agreed on the a = .05level.a)State the null and alternative hypotheses.What is the critical value? Sketch a density curve and identify theb)critical region.oonaollingle to inotrovio (gaiteae bas OS- m olqmeStoaurgia.nb s ozA 20.0c)Calculate the z value corresponding to the test statistic xand show itslocation on the sketch of part (b).

Name: 1) Suppose you are a 20 year old student and you have convinced your
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 1) Suppose you are a 20 year old student and you have convinced your parents to letyou live off campus. Remarkably, they have agreed to pay for your housing.Suppose your parents claim that one-bedroom apartments cost an average of $600per month. You

a) To test:H0:μ=600Ha:μ≠600

Math

Statistics

1) Suppose you are a 20 year old student and you have convinced your parents to let you live off campus. Remarkably, they have agreed to pay for your housing. Suppose your parents claim that one-bedroom apartments cost an average of $600 per month. You disagree, and think one-bedroom apartments are more expensive than that. Suppose you went to the local paper and found 40 one-bedroom apartments listed. You calculate a sample mean of = $600 with a standard deviation of o = $50. You and your parents have agreed on the a = .05level. %3D %3D a) State the null and alternative hypotheses. b) What is the critical value? Sketch a density curve and identify the critical region. woe)oanaoigie lo trot gaiwollol arb m AH oviD (gaiteat elesdiog irgia ieb si sA 20.0= eU c) Calculate the z value corresponding to the test statistic and show its location on the sketch of part (b).

1) Suppose you are a 20 year old student and you have convinced your parents to let you live off campus. Remarkably, they have agreed to pay for your housing. Suppose your parents claim that one-bedroom apartments cost an average of $600 per month. You disagree, and think one-bedroom apartments are more expensive than that. Suppose you went to the local paper and found 40 one-bedroom apartments listed. You calculate a sample mean of = $600 with a standard deviation of o = $50. You and your parents have agreed on the a = .05level. %3D %3D a) State the null and alternative hypotheses. b) What is the critical value? Sketch a density curve and identify the critical region. woe)oanaoigie lo trot gaiwollol arb m AH oviD (gaiteat elesdiog irgia ieb si sA 20.0= eU c) Calculate the z value corresponding to the test statistic and show its location on the sketch of part (b).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose you've just been hired as a statistics professor, but you've never taught undergrads before. While you're doing your best, you're not sure you're fully up to par with all the other excellent statistics professors out there. You decide to look at your 41 students' grades on their midterm exam. They averaged grades of 81 on this exam, with a standard deviation of 10. You reason that if they're higher than normal, you might be making things too easy for them. Likewise, if they're lower than normal, you might be making things too hard. Seeking a Goldilocks effect, you compare this with the national average of statistics midterm exam scores - this is 79. BEING SPECIFIC, what kind of statistical analysis should you perform, and WHY? Three parts of your answer will factor into the grade on this answer: the type of statistical test, one specific aspect of this test (hint- see the earlier questions), and your explanation as to why.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
The National Coalition on Healthcare suggests that the mean annual premium that a health insurer charges an employer for a health plan covering a family of four averaged $13,000 in 2009. A sample of 30 families of four yields a mean annual premium paid by their employer to be $13,500 with a sample standard deviation of $300. We are interested in whether the mean annual premium that a health insurer charges an employer for a health plan covering a family of four is different from $13,000 using a significance level of 0.10. Select one: a. tdata = 9.129, do not reject Ho. b. tdata = 9.129, reject Ho. c. tdata = -9.129, do not reject Ho. O d. tdata = 4.156, reject Ho.
As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…
Sarah and her fiancé are planning for their wedding. Distribution of the number of guests coming to the party is normal with the mean 100 and the standard deviation 10. They need to determine how many guests to book for food from a caterer. The caterer makes the following charges: $50 for each guest that is booked in advance; $90 for each guest who is not booked in advance but shows up on the wedding day. The caterer does not offer any refund even if some booked guests may not show up. Questions: What is the optimal number of guests to book in advance? How much Sarah can save by booking the optimal quantity from a) in advance? What is the expected number of guests that will come to their wedding? If Sarah and her fiancé book 90 guests in advance with the caterer, what is the probability of stock out? If Sarah and her fiancé book 100 guests in advance with the caterer, what is the expected number of meals to be wasted?
12. (Two Samples) According to a survey, the mean price of gasoline in the United States was $1.20 per gallon in 1995 and $1.10 per gallon in 1994. (U.S. News & World Report, June 12, 1995). Suppose these means were based on random samples of 100 gasoline stations for 1995 and 120 gasoline stations for 1994. Also, assume that the sample standard deviations were $0.11 for 1995 and $0.10 for 1994. a. Construct a 98% confidence interval for the difference between the mean gasoline prices for 1995 & 1994. b. Test at the 1% significance level if the mean gasoline price was higher in 1995 than in 1994.
According to Kaiser Family Foundation survey in 2011 and 2010, the average premium for employer-sponsored health insurance for family coverage was $15,073 in 2011 and $13,770 in 2010 (USA TODAY, September 29, 2011). Suppose that these averages were based on random samples of 250 and 200 employees who had such employer-sponsored health insurance plans for 2011 and 2010, respectively. Further assume that the population standard deviations for 2011 and 2010 were $2160 and $1990, respectively.