Question

In: Statistics and Probability

A company that sells eco-friendly cleaning products is concerned that only 18.5% of people use such...

  1. A company that sells eco-friendly cleaning products is concerned that only 18.5% of people

use such products select their brand. A marketing director suggests that the company invest in new advertising and labeling to strengthen its green image. The company decides to do so in a test market so that the effectiveness of the marketing campaign may be evaluated. Based on data collected in the test market, the company constructed a 98% confidence interval for the proportion of all consumers who might buy their brand. The resulting interval is 18% to 27.5%. Which statement(s) is(are) true about the new marketing campaign?

I. Noneofthese

II. Thecompanyshouldnotlaunchthenewmarketingcampaign.

III. Thedatadonotprovideconvincingevidencethatthemarketingcampaignincreasesthepercentageofcustomersforthecompany’sproducts.

IV. Thedatadoprovideconvincingevidencethatthemarketingcampaignincreasesthepercentageofcustomersforthecompany’sproducts.

V. Thecompany should launch the newmarketing campaign.

      

          A) I only.

          B) IV and V.

          C) II and III.

          D) IV only.

          E) III only.

  1. A company manufacturing computer chips finds that 7% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 400 chips revealed only 30 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. The correct value of the test statistic is

A)z=- 0.392       B)z=0.392      C)z=2.57       D)z=1.56         E)z=-2.57

  1. Suppose minorities form 28% of a local population. A local business has 125 employees, of which20areminorities.Didthebusinessdiscriminateinitshiringpractices? Round the z-statistic to two decimals and state your conclusion using α=0.05.
  1. Thereissufficientevidencethatthebusinessdiscriminatedinitshiringpractices.
  2. Wecannotdrawanydirectconclusionsfromthesedata.

  III.Thereisnoevidencethatthebusinessdiscriminatedinitshiringpractices.

  1. BothIandIII
  2. IIIonly
  3. Both II and III
  4. IIonly
  5. Ionly

  1. Amanufacturerofcheesefilledraviolisuppliesapizzarestaurantchain. Basedondatacollected

fromitsautomaticfillingprocess,theamountofcheeseinsertedintotheravioliisnormallydistributed.Tomakesurethattheautomaticfillingprocessisontarget,qualitycontrolinspectorstakeasampleof25ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams.Themargin of error (ME)toconstructa99%confidenceintervalforthetruemeanamountofcheesefillingis

A)2.064                B)1.432               C)3.745                D)1.276                E)1.797

Solutions

Expert Solution

Answer:

1)

Answer:Option E) III Only)

2)

3)


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