During the previous fiscal year, 10% of a retailer’s sale were due to online sales. In an effort to increase this percentage the retailer has purchased ads on social media sites. The retailer gathers...

1. During the previous fiscal year, 10% of a retailer’s sale were due to online sales. In an effort to increase this percentage the retailer has purchased ads on social media sites. The retailer gathers data on types of sales on a sample of 20 days during the current fiscal year. Has there been a decrease in online sales?


2. Write the null and alternative hypothesis for the retailer ().


3. 
   
   
   
   vs
   
   
   
   


4. Is this a one-sided or two-sided hypothesis?


5. 
   [9pts]
   


6. The level of significance, a, is the probability of ________________________________


7. If p-Value is less than a, we __________


8. If p-Value is greater than a, we __________


9. 
   [9pts]
   A researcher claims that based on the information obtained from the centers for Disease Control and Prevention, 21% of young people ages 2-19 are obese. She believes this value should be lower. To test this claim, she randomly selected 200 people ages 2-19 and found that 42 were obese.


10. State the hypothesis
    


11. 
    vs
    
    
    
    


12. Calculate the standard Error (SE). Use the formula SE=


13. Suppose the P-value is 0.0668, interpret the result at level of significant a = 0.05


14. 
    
    
    Part 2 (BGP)
    


15. Sandy works for campus security and wants the opinions of the undergraduates at BGSU about campus safety at night. To get a variety of responses she takes 3 different samples.

Learning Outcome 2 (1 question – 7 parts) Total Represent mathematical and statistical information symbolically, visually, numerically, and verbally. Doesn’t Meet: 0–14.3 Meet: 14.4–19.1 Exceed: 19.2–24 Learning Outcome 5 (3 questions – 5 parts) Total Recognize that mathematical and statistical methods are based on assumptions and have limits. Doesn’t Meet: 0–10.7 Meet: 10.8–14.3 Exceed: 14.4–18 [Type here] Math 1150Final Exam FALL 2020 Class Time Show all work to receive credit for each of the problems. Incorrect and correct answers with incorrect work shown or no work shown will NOT receive full credit. Circle your answers and when appropriate label them. NB: Write your solutions BELOW each question legibly and upload it on canvas. Show your work to earn FULL credit 1. [18pts] 50% of all laboratory mice can make it through a maze. If 510 randomly selected mice attempt the maze, a. Check all the Central limit theorem (CLT) requirements and conclude if all the requirements are met. b. What is ? c. Calculate the standard Error, SE. Use the formula SE= d. Let z = 2, calculate the margin of error. Use m=*SE e. Write out the formula to calculate the confidence interval f. Construct the 95% confidence interval for those mice that attempted the maze. 2. [6pts] During the previous fiscal year, 10% of a retailer’s sale were due to online sales. In an effort to increase this percentage the retailer has purchased ads on social media sites. The retailer gathers data on types of sales on a sample of 20 days during the current fiscal year. Has there been a decrease in online sales? a. Write the null and alternative hypothesis for the retailer (). vs b. Is this a one-sided or two-sided hypothesis? 3. [9pts] a. The level of significance, α, is the probability of ________________________________ b. If p-Value is less than α, we __________ c. If p-Value is greater than α, we __________ 4. [9pts] A researcher claims that based on the information obtained from the centers for Disease Control and Prevention, 21% of young people ages 2-19 are obese. She believes this value should be lower. To test this claim, she randomly selected 200 people ages 2-19 and found that 42 were obese. a. State the hypothesis vs b. Calculate the standard Error (SE). Use the formula SE= c. Suppose the P-value is 0.0668, interpret the result at level of significant α = 0.05 Part 2 (BGP) 1. Sandy works for campus security and wants the opinions of the undergraduates at BGSU about campus safety at night. To get a variety of responses she takes 3 different samples. Sample 1 She sets up a table at a busy walking path on campus late at night and asks students their opinion as they pass by. She receives about 450 responses and finds that 64% of the students feel safe walking on campus at night. Sample 2 She obtains a list of all the undergraduates and randomly selects 200 students. She contacts the students and finds that 54% of the 200 students feel safe walking on campus at night. Sample 3 She obtains a list of all the undergraduates and sends an email asking their opinion. She receives emails from some of the students. She randomly picks 300 emails and finds that 45% of the 300 students feel safe walking on campus at night a. [3pts] Explain which sample result would most accurately reflect the opinions of the undergraduate students at BGSU? Why? b. [6pts] For the other two samples, explain at least one source of sampling bias. 2. Sandy works for campus security and wants to know about BGSU campus safety at night. She randomly selects 250 students and finds that 55% of the 250 students feel safe walking on campus at night. She calculates a margin of error for a 95% confidence interval to be 6.2%. a. [2pts] What is the 95% confidence interval for the proportion of the BGSU students that feel safe walking on campus at night? Use C.I = . b. [3pts] Can you make the claim that most of the students (over 50%) at BGSU feel safe walking on campus at night? Explain your answer. 3. [4pts] The article “How Well Are U.S. College Run?” (USA Today, Feb. 17, 2010) describes a survey of adult Americans. The survey was carried out by the National Center for Public Policy. Of those surveyed, 55% indicated that they believed a college education is essential for success. In order to create a valid confidence interval, what should we assume is true about the sample. (Remember the conditions for the Central Limit Theorem.) 4. The heights of young women (ages 18-25) are normally distributed with a mean of 65.5 inches and a standard deviation of 2.5 inches. Answer the following questions based on this information: NB: = a. [4pts] On the horizontal axis below, mark the mean value of height. Then mark values of height that are 1, 2, and 3 standard deviations away from the mean value. b. [2pts] the curve above, shade the area under the curve that corresponds to P(X < 60). ="" c.="" [5pts]="" find="" p(x="">< 60).="" state="" in="" a="" sentence="" what="" this="" value="" represents="" in="" context="" of="" the="" data.="" d.="" [2pts]="" under="" the="" curve="" below,="" shade="" the="" area="" under="" the="" curve="" that="" corresponds="" to="" p(x=""> 67). e. [5pts] Find P(X > 67). State in a sentence what this value represents in context of the data. f. [3pts] Find the probability that a woman 18-25 years old is between 60 and 67 inches tall. g. [3pts] If a young woman’s height is at the 80th percentile, how tall is she? Use x = +z* Bonus 1. [8pts] What is the name of your professor? 2. [8pts] What is the name of the country he is from? 2