Question

please help me to solve this problem below

Problem 2: Pizza Prices in Different Cities (no data set in StatCrunch)- A food blogger is interested in comparing the price of pizzas available for purchase in New York City to those available in Washington, D.C. To do so, they collected a random sample of 30 large cheese pizzas from each of the cities. The New York pizzas had an average price of S12.83 with a standard deviation of $4.45. The Washington, D.C. pizzas had an average price of $10.71 with a standard deviation of $3.74. At the 0.01 significance level, can the blogger conclude that the mean price of a large cheese pizza in New York is higher than Washington, D.C.? Assume all conditions for conducting inference are satisfied. a) Conduct a full hypothesis test by following the steps below. Enter an answer for each of these steps in your document. i. Define the population parameter of interest in context of this question in one sentence. ii. State the null and alternative hypotheses using correct notation. iii. State the significance level for this problem. ir. Calculate the test statistic in StatCauch using STAT → T Stats → 2 Sample → With Summary. Copy and paste the output table into your document. - probability notation (it begins with P.)). your answer in one sentence. answer the question being posed) in one or two complete sentences.+ v. Label the p-value seen in your output table produced in part (iv) using the proper vi. State whether you reject or do not reject the null hypothesis and your reason for vii. State your conclusion in context of the problem (i.e. interpret your results and/or b) Imagine if the significance level for this problem was 0.05. State your decision and conclusion for the above hypothesis test when you compare your p-value found in part (v) with the significance level of 0.05.

Answer 1

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state the s ani ficante teve! - we have to sle나e +kot tuo signi疪eerree Here levet is significance leve (here to γ e sanit, carrie 1%」 ,Tes+ statistics :- we havoo tainaol he test statistic by "y given data Here test statistic 2. S 2 tCLo83-10.11 445+I3 14 3 0 2.12 Le ,862s + 13.9876 t= 2.12. 212 L L26 t-1.9975

ろ These fore test statistie 915 v P- vaiiue Hese P-value:C+-test , df:nitn2..21 [ L-9975 : d f-30+30-21 11975 - [1.9975, 58] 1p. vi] Stade uonether we have to state that ta compave te pve lua significam ce丈eu ef p - value | е.ose s S o.el) we fail est to meeted He af x-e, t viJ state your conclus io- uoa have conclusle ot Ha →uo enot have signif., caut evideわce ticar the mean cheese pizza io eo yorie is highes price of dande

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