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Problem 5.3 hited States is the largest exporter of medical equip regular order to evaluate the Costa Rican unit in the USA. In Costa Rica, after thei to Costa Rica, with USS57 million in a imports. Medicale is a product to Costa Rica. in year. This volume represents a 45% market share of medica of medical equipment for ER and would like to export a new Costa Rica and ofredcn potential market, they collected a random sample of 12 hospitals in Costa Rica and offered them free samples of their product for a they month. They charge a total of $450 per potential customers were willing to pay an average of 5690 per unit with a standard deviation of $49. In order to maintain enough pron r study, their international price should be above $660. Should they export their product to cos their 98% confidence level? They certainly have the support of the US Commercial Services, Should they export their product to Costa Rica using a thanks to NEI! Problem Type:_Hypothesis Test Confidence Interval Sample Size Summary Information: Problem #: Ho: Diagram: Hi Critical Value Decision Rule Test Statistic: Decision Interpretation: p-value: Decision Rule based on p-value: alue approach? Yes No Same Decision with p-v
Problem 5.4 A rental agent is moving her business from New Jersey to New York City (NYC) hoping that her commission will be higher due to higher rental amounts in the new area. In New Jersey, the mean t for a two-bedroom apartment is $1,334 a month with a standard deviation of $376. She knows that NYC has shown historically the same standard deviation as New Jersey. She gathers a random sample of 36 apartments and computes the mean (51,424) and the standard deviation (s3so). Estimate with 93% confidence the average monthly rent amount for a two bedroom apartment in a. NYC bedroom apartment is higher in New York City? bedroom apartment in NYC within S75 and a 93% confidence level. b. Can the rent al agent conclude with 93% confidence that the mean monthly rent amount for a two- c. What sample size would you recommend to estimate the mean monthly rent amount for a two Problem Type: _xHypothesis Test_Confidence Interval Sample Size Problem #: Summary Information Ho: Diagram: Critical Value: Decision Rule: Test Statistic: Decision: Interpretati p-value: Decision Rule based on p-value: No Same Decision with p-value approach?_ Yes-
Problem 5.6 A manufacturer of circuit boards has s a plant in Brazil and is currently analyzing the possibility of building vanced plant in Argentina. One of the decision factors is the current use of technologies (AMT). They will make Argentina is the same as the AMT usag has an average AMT usage of 3.25 in a Likert-scale (1: none, 2: little, 3: part A sample of 25 manufacturing firms in Argentina was surveyed 4: considerable, 5: a lot). on the use of: CAE (computer-aided tics; automated parts loading/uploading (APLU): AS/RS (automated storage/retrieval AGs (automated guided vehicles): CAM (computed-aided manufacturing) and CIM the decision to build the new plant only if the AMT usage in e in Brazil. Based on their own experience, they know that Brazil (computed-integrated manufacturing). The data are stored in file pr5.6. Would you building the plant in Argentina2 ue data are stored in file pr5_6. Would you recommend ? Use a confidence level of 92%. Problem Type: Hypothesis Test Confidence Interval Sample Size Summary Information Problem # Ho: Diagram: Critical Value: Decision Rule: Test Statistic: Decision Interpretation p-value Decision Rule based on p-value: Same Decision with p-value approach?-Yes--No
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Answer #1

5.4:

(a)

Here we have x -1424,ס376-, n-36 Level of significance: a/2 -0.035 Critical value: -1.812 The requried confidence interval is: t-1424 (376*1.812/sqrt(36)) -1424 t 113.552 -(1310.448,1537.552) Excel function for critical value: NORMSINV(1-0.035) Hence, the required confidence interval is (1310.448,1537.552)

Answer:

The 93% confidence interval is ($1310.45, $1537.55).

(b)

Here we have x-1424,0-376, n -36 Hypotheses are Но: На: -1334 >1334 Level of significance α-0.07 Test is one tailed (right tailed) Test Statistics: : (1424-1334)/(376/sqrt(36)) ơíyM = 1.44 Critical value: 1.48 If z > 1.48, Reject HO Rejection Region: Decision: Since test statistics does not lie in rejection region so we fail to reject the null hypothesis P-value P-value-0.0749 Decision: Since p-value is not less than level of significance so we fail to reject the null hypothesis Excel function for critical value Excel function for p-value NORMSINV(1-0.07) -1-NORMSDIST(1.44)

Answer: We cannot conclude that rent is high in New York City.

(c)

Here we have ME -75,0-376,CL-0.93 Level of significance: α =0.07 Critical value of z is 21-a/2-1.812 Required sample size is: -|-((1.812*376)/75)^2 ME n = 82.5219629056 Hence, the required sample size is 83. Excel function for critical value: NORMSINV(1-(0.07/2))

Answer: 83

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