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Dutchess Community College *

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100

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Statistics

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Feb 20, 2024

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pdf

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Uploaded by ProfessorElementDragonfly8

Quiz 3 thru Module 6 Name: DROXAN - Qurieyo 1) Acom o :)any advertises that the packages of cookies that they sell contain 14.3 ounces of cookies, but Andre suspects " ;(e s actually a smaller amount of cookies in the packages on average. Andre takes a randorr; sample of 85 Ppackages of these cookies, and he finds that his sample has a mean of 14.27 ounces of cookies in the packages. a) (2 points) Describe in words the parameter of interest. (identify the correct answer below) o The average ounces of cookies in the 85 packages. o The unknown average ounces of cookies in all packages. {0 The'average-ounces of caokies inall packa o The proportion of all packages that are 14.3 ounces. b) (2 points) Identify the value of the statistic and also the symbol for the statistic: \L\ . 2— —, c) (2 points) Identify the variable. (identify the correct answer below) o Whether the package has 14.3 ounces of cookies or not. o The packages of cookies. o Ihe average ounces in all packages of cookies. 6 The average ounces in the 85 packages of cookles.| o The ounces of cookies within each package. d) (2 points) Andre wants to know if all packages of cookies have an average that is actually less than 14.3 ounces. His sample had an average of 14.27 ounces. State the null hypothesis for this test. (Circle one) o The null hypothesis is that the average amount of cookies in all packages is less than 14.3 ounces. o The null hypothesis is that less than 50% of all packages have the advertised amount of cookies. he null hypothesis is that there is an average of 14.3 ounces of cookdes inall package o The null hypothesis is that there is 14.27 ounces of cookies in all packages. e) (2 points) Usinga simulation, we find a p-value of 0.004. Evaluate the strength of evidence and state a conclusion in context. (Circle one) o We have strong evidence that the ave ookies 6. We have strong evidence that the averageamount of cookies in all b o ltis plausible that the average amount of cookies in all packages is 14.3 ounces. f) (2 points) Select the best conclusion about generalization. Vo The result generalizes to all packages of cookies since it came 5m a randorm sample:} o The result does not generalize beyond the sample because Andre only sampled 85 packages. o The results apply only to the 85 packages of cookies since those are the only packages considered. Scanned with CamScanner

el el e B Eh ite it St e Ve PR IF T TR 2) Sam and Tina both attend the same large college that has more than 10,000 students. Sam randomly selects 25 students from the college and records the proportion of those students who currently own a working computer, and he finds that 84% of them currently own a working computer. Tina self-selects 65 students from the college and records the proportion of those students who currently own a working computer, and she finds that 71% of them own a working computer. Both Tina and Sam are Interested In understanding the proportion of all students at their college who currently own a working computer. a) (2 po!ntf) Describe the parameter of interest. Also give the correct symbol. P uiiin 13 Ane OReEiion 0F Ol 10,600 Shudexy i O Whng QUKICTRALY OUA O UEC0e, (ORNRULW X . b) (2 pointsz What mfi'l is used ?oa%\e 84% in this prob\em‘?\s (‘0) P wWhitn 13 Ane S0 Qv ororon ) (3 points) Who's sample information would you have more trust in, and why? Be sure to clearly explain why vou trust one more thanthe other. T LOOL\A AYUNY TACO\ VIRCOLHE, D YO A OQYEOTCY YOMPL NZe OF GF SHRACLMY (LM ed FO Y 0F 25 THALAS )T WOUW AXUYY a2 071 S0enlie OYoorAien Nowwe S0 TIOO, ONBY R A0 A\ ©.TH Proforhion NOWUL Axaen SO - 3) (4 points) Suppose the null hypothesis is that “the average amount of soda in all cans is 12 ounces” and the alternative hypothesis is “the average amount of soda in all cans is more than 12 ounces.” We conduct a random sample, and we get a sample statistic of ¥ = 12.11 and we get a p-value of 0.31. Complete the following sentence in order to gjve the exact meaning of the p-value in CONTEXT (in terms of the soda cans). fweassume TON e AU OO0 S VD AR then the probability of getting a sample like 0ne O VAN A= \2\ Is 0-3\ 4) Suppose that the population proportion is 36.2% = 0.362. Suppose | collect a sample of size 45, and L Snd = e sy sampiepropottionm;'— VAU — U0, (a) (3 points) Identify the SYMBOL for each value given in the problem. ~n 0362 I\ @ s 0O 0.40: ° {(b) (3 points) Calculate the standard error for this scenario. Show your work. You will need to use one of the following formutas: "'"(l;") or % w AW - .05 :S m’\_\ -~ 0.0 (c) (3 points) Find the standardize Also use the correct SYMBOL for that standardized statistic. Show all work. =\ (W 2T Scanned with CamScanner

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