Premiolex Corporation spokesperson: In our survey of Premiolex custome

Question

Premiolex Corporation spokesperson: In our survey of Premiolex customers, the majority of respondents rated our services as “excellent,” whereas in our competitor Cretazole’s survey, the majority of their respondents rated Cretazole’s services as “very good.” That’s proof that—on average, at least—our customers have a higher opinion of Premiolex’s services than Cretazole’s customers have of its services.

Skeptic: I don’t think the spokesperson’s conclusion necessarily follows from the evidence he cites. What if, for example, the Premiolex survey asked participants to choose from among options that weren’t all identical to the ones used in Cretazole’s survey?

Select for Premiolex survey and Cretazole survey the options such that, in combination, the Premiolex survey and Cretazole survey would support the skeptic’s position and be consistent with the spokesperson's report of the results but indicate that the spokesperson’s conclusion does not necessarily follow. Make only two selections, one in each column.

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Sajjad1994 · Accepted Answer

Official Explanation

RO1

Since the conditions that respondents were asked to choose among were not the same in each survey, one way to compare them is to sort them into two categories: above average (Very good, Excellent), and average or below (Average, Below average, Poor, Unacceptable).

Since the majority of respondents in Premiloex’s survey rated its services as “Excellent,” the first and fourth set of results provided could be from Premiolex’s survey. In the fourth set of results, 99.0% of respondents rated Premiolex’s services above average (512 Excellent + 478 Very good, out of 1,000 responses). However, in the first set of results, only 51.7% rated its services above average (517 Excellent, out of 1,000 responses).

Since the majority of respondents in Cretazole’s survey rated its services as “Very good,” the third or fifth set of results could be from Cretazole’s survey. In the fifth set of results, 53.9% of respondents rated Cretazole’s services above average (23 Excellent + 516 Very good, out of 1,000 responses). However, in the

third set of results, 96.5% of respondents rated Cretazole’s services above average (454 Excellent + 511 Very good, out of 1,000 responses).

Thus, if the first set of results belongs to Premiolex and the third set belongs to Cretazole, only 51.7% of respondents would find Permiolex’s services above average, compared to 96.5% of respondents who would find Cretazole’s services above average. These results are consistent with the spokesperson’s report, yet they support the skeptic’s position that the spokesperson’s conclusion does not necessarily follow from the results.

The correct answer is Excellent 517, Average 482, Below average 1, Poor 0, Unacceptable 0.

RO2

As explained in the analysis of RO1, if the third set of results is from Cretazole’s survey and the first set is from Premiolex’s, a substantially greater percentage of respondents would find Premiolex’s services above average.

The correct answer is Excellent 454, Very good 511, Average 34, Poor 0, Unacceptable 1.

bM22 · Answer

Inference of Spokesperson's statement: 
1. The majority of respondents rated Premilox services as “excellent,” and Cretizole 's as "Very Good".
2. Premilox customers have a higher opinion of Premilox , than Cretazole’s customers have of its services

Inference from Skeptic: 
1. spokesperson’s conclusion necessarily follows from the evidence he cites.
2. Result could be different if a set of different questions.

We need to select from the below options the 2 combinations that support both of the given inferences.
What we are looking for: 
Excellent should be rated more than other ranks.
Very good should be highest in the particular set, but less than Excellent.

Answer: 1st one - for Premilox and 3rd for Cretizole.

yashikaaggarwal · Answer

Survey forms options:
Form 1: Excellent. => 517
 : Average. => 482
 : Below Average => 1
 : Poor. => 0
 : Unacceptable => 0

Form 2: Excellent. => 463
 : Average. => 501
 : Below Average => 0
 : Poor. => 35
 : Unacceptable => 1

Form 3: Excellent. => 454
 : Very Good. => 511
 : Below Average => 34
 : Poor. => 0
 : Unacceptable => 1

Form 4: Excellent. => 512
 : Very Good. => 478
 : Below Average => 10
 : Poor. => 0
 : Unacceptable => 0

Form 5: Excellent. => 23
 : Very Good. => 516
 : Below Average => 230
 : Poor. => 231
 : Unacceptable => 0

According to the spoke person, their customers have a higher opinion of Premiolex’s services than Cretazole’s customers have of its services. Because the majority of respondents rated their services as “excellent,” whereas in their competitor Cretazole’s survey, the majority of their respondents rated Cretazole’s services as “very good.”

According to Skeptic, the spokesperson’s conclusion don't necessarily follows. There is possibility that, the Premiolex survey asked participants to choose from among options that weren’t all identical to the ones used in Cretazole’s survey.

The survey for of Premiolex stating that majority of their respondent agreed for "Excellent" services also the skepticism of skeptic follows is : FORM 1.

The majority of the respondents filled with Excellent their, (in contrary to form 2) because they do not had the option of very good in the form as the skeptic suggested.

The survey for of Cretazole stating that majority of their respondent agreed for "Very Good" services also the skepticism of skeptic follows is : FORM 3

Because in form 4 the majority of them filled excellent option Also in form 5, the distribution among all options is almost same except last. So it don't follows. Also the options in the form clears the doubt of different form parameter as stated by skeptic.

Therefore the Form for Premiolex is : Form 1
And the form for Cretazole is : Form 3

Posted from my mobile device

Apt0810 · Answer

Inference derived from Spokesperson's statement:
1 The respondents rated Premilox services as “excellent,” while those for Cretizole 's as "Very Good".
2 On an average,Premilox customers have a higher opinion of Premilox , than Cretazole’s customers have of its services

Inference from Skeptic's statement:
1 Spokesperson’s conclusion necessarily follows from the evidence he cites.
2 Result could be different if the comparison is not carried out with the identical parameters in both the areas.

So 1st one is for Premilox and 3rd one is for Cretazole

Posted from my mobile device

mSKR · Answer

Why not E but C for Cretazole’s survey? 
 Apt0810   yashikaaggarwal   bm2201   SajjadAhmad

yashikaaggarwal · Answer

Because the values in E are approximately distributed. We need the major values which is focusing only on "very good" criteria. And C is the correct form for that

Posted from my mobile device

mSKR · Answer

why would you assume that? very good is 516 in option E, others options are not even close.

Rohi02 · Answer

bm2201 ,

4th Forum has 512 count of excellent.

bM22 · Answer

Hi Rohi02,
4th doesn't satisfy the conditions for Premilox, since it would not be in sync with the statement of the spokesperson:

Inference of Spokesperson's statement:
1. The majority of respondents rated Premilox services as “excellent,” and Cretizole 's as "Very Good".
2. Premilox customers have a higher opinion of Premilox , than Cretazole’s customers have of its services

=>No of respondents who chose Excellent should be max and in 4th, it's 512, we need to choose the one which has the no. of respondents who chose excellent as maximum, 1st is a better choice.

Let me know if this helps.

thanks.

SohilSharma · Answer

Why we selected option option C for Cretazole survey

++++++++

Since the conditions that respondents were asked to choose among were not the same in each survey, one way to compare them is to sort them into two categories: above average (Very good, Excellent), and average or below (Average, Below average, Poor, Unacceptable).

Since the majority of respondents in Premiloex’s survey rated its services as “Excellent,” the first and fourth set of results provided could be from Premiolex’s survey. In the fourth set of results, 99.0% of respondents rated Premiolex’s services above average (512 Excellent + 478 Very good, out of 1,000 responses). However, in the first set of results, only 51.7% rated its services above average (517 Excellent, out of 1,000 responses).

Since the majority of respondents in Cretazole’s survey rated its services as “Very good,” the third or fifth set of results could be from Cretazole’s survey. In the fifth set of results, 53.9% of respondents rated Cretazole’s services above average (23 Excellent + 516 Very good, out of 1,000 responses). However, in the

third set of results, 96.5% of respondents rated Cretazole’s services above average (454 Excellent + 511 Very good, out of 1,000 responses).

Thus, if the first set of results belongs to Premiolex and the third set belongs to Cretazole, only 51.7% of respondents would find Permiolex’s services above average, compared to 96.5% of respondents who would find Cretazole’s services above average. These results are consistent with the spokesperson’s report, yet they support the skeptic’s position that the spokesperson’s conclusion does not necessarily follow from the results.

bb · Answer

Weird question... just showed up in the OG 2025-2026. Go figure!

ritzysharma · Answer

Bunuel  I did go through this thread but couldn't understand. Can you please help here? Able to shortlist that for Premiolex, options should be between 1 and 4. Similarly for Cretazole it should be between 2,3 and 5. But this creates 6 possible answer options. How to finalize the answer?

egmat · Answer

ritzysharma If I may help you here- your shortlisting is on the right track, but here's what you need to ask yourself to finalize: Which combination makes the STRONGEST case for the skeptic?

The skeptic is arguing that despite the spokesperson's evidence, we cannot conclude that Premiolex customers are more satisfied. To support this position, you need:

For Premiolex: The option that shows the weakest satisfaction despite having a majority in "Excellent"
For Cretazole: The option that shows the strongest overall satisfaction despite "Average" being the majority choice

Applying This Logic:

Premiolex Analysis:

Option 1: \(517\) Excellent vs \(482\) Average → Nearly split! Barely a majority for "Excellent"
Option 4: \(512\) Excellent vs \(478\) Average → Also close, but Option 1 is even tighter

Option 1 is weaker for Premiolex's case because customers are almost evenly divided.

Cretazole Analysis:

Option 2: \(463\) Excellent + \(501\) Average = \(964\) in top two categories
Option 3: \(454\) Excellent + \(511\) Average = \(965\) in top two categories; only \(35\) negative responses
Option 5: \(23\) Excellent + \(516\) Average = \(539\) in top two; but \(461\) gave negative responses!

Option 3 shows the strongest overall satisfaction: \(965\) out of \(1000\) respondents chose positive options.

Answer: Premiolex Option 1 + Cretazole Option 3

This combination supports the skeptic because it suggests that while Premiolex barely has a majority rating "Excellent" (with nearly half choosing just "Average"), Cretazole has \(965\) customers choosing either "Excellent" or "Average" (which might have been labeled "Very good" in their survey). The different survey scales make the comparison invalid—Cretazole customers might actually be more satisfied overall!

Hope this helps!

ponderare · Answer

I think you might have miswritten the tab, as there doesn't appear to be any "very good" rating now. thank you for your job!

ritzysharma · Answer

Even I thought the same when I saw it, but the original question also does not have it

ritzysharma · Answer

Thanks, this is really helpful; I can understand it now. However, a small doubt regarding Premiolex: the difference between 517 and 482 is 35, whereas the same difference for option 4 is just 34. Then, how did we conclude that option 1 is tighter? What exactly does tighter mean here?

ritzysharma · Answer

egmat  Thanks, this is really helpful; I can understand it now. However, a small doubt regarding Premiolex: the difference between 517 and 482 is 35, whereas the same difference for option 4 is just 34. Then, how did we conclude that option 1 is tighter? What exactly does tighter mean here?

egmat · Answer

ritzysharma  The term "tighter" here refers to  how binary or limited the choice structure appears —meaning how concentrated the responses are in just the top two options. Let me clarify why Option 1 is better than Option 4 for Premiolex.

What "Tighter" Actually Means

Let's compare the two valid Premiolex options:

Premiolex Option 1: 
 
 Excellent:  517  
 Average:  482  
 Other options (Below avg + Poor + Unacceptable):  1  
  Top two options total:  999  out of  1,000   ( 99.9\% )

Premiolex Option 4: 
 
 Excellent:  512  
 Average:  478  
 Other options:  10  
  Top two options total:  990  out of  1,000   ( 99.0\% )

Why Option 1:

Option 1 is tighter because  999  out of  1,000  respondents chose  only  Excellent or Average—making it essentially a binary choice with almost no one using other options. Option 4 has  10  people choosing "Below average," making it slightly less binary.

The  difference in the gap  ( 517-482 = 35  for Option 1 vs.  512-478 = 34  for Option 4) is  not  what makes it tighter. "Tighter" refers to how few people used options beyond the top two, not the margin between Excellent and Average.

sakiish · Answer

Hi! I understand that the survey for Premiolex corresponds to the first option (since it is weaker than the fourth option), and the survey for Cretazole corresponds to the third option (since it does not have as many negative comments as the second and fifth options). However, the comparison between these two still seems to suggest that Premiolex has overall more positive feedback than Cretazole, because it has fewer negative comments (1 for Premiolex vs. 34 for Cretazole), and the number of “Excellent” or “Excellent + Average” responses is also higher (517 vs. 454, or 517 + 482 vs. 454 + 511). I’m wondering why the combination of the two options is taken to support the Skeptic’s view, which suggests that Cretazole might be in fact rated more highly than Premiolex. Thanks!

Premiolex Survey	Cretazole Survey	Conditions: 1,000 respondents were asked to choose among these survey options. \| Results: Number of respondents who chose each survey option
		Excellent - 517 Average - 482 Below average - 1 Poor - 0 Unacceptable - 0
		Excellent - 463 Average - 501 Below average - 0 Poor - 35 Unacceptable - 1
		Excellent - 454 Average - 511 Below average - 34 Poor - 0 Unacceptable - 1
		Excellent - 512 Average - 478 Below average - 10 Poor - 0 Unacceptable - 0
		Excellent - 23 Average - 516 Below average - 230 Poor - 231 Unacceptable - 0

Premiolex Corporation spokesperson: In our survey of Premiolex custome

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