Question

The Bridgestone company is interested in analyzing the opinion of its buyers about its products. For this reason, it asks you as a consultant to carry out market research in the main cities of the country (DF, Guadalajara and Monterrey). The universe in each city is 399,987. people, the confidence level will be 95% and the estimation error is 5%. Calculate the number of surveys per city and in total.

164

likes
819 views

Answer to a math question The Bridgestone company is interested in analyzing the opinion of its buyers about its products. For this reason, it asks you as a consultant to carry out market research in the main cities of the country (DF, Guadalajara and Monterrey). The universe in each city is 399,987. people, the confidence level will be 95% and the estimation error is 5%. Calculate the number of surveys per city and in total.

Expert avatar
Andrea
4.5
86 Answers
Given:
- Confidence level = 95%
- Margin of error (E) = 5%
- Population in each city = 399,987
- Number of cities = 3 (DF, Guadalajara, Monterrey)

First, we need to calculate the sample size needed per city using the sample size formula:

n = \frac{Z^2 \cdot p \cdot (1-p)}{E^2}

Since we do not have a specific estimated proportion from the population, we'll use p = 0.5 to maximize the sample size.

For a 95% confidence level, the Z-score is approximately 1.96.

Let's calculate the sample size needed per city:

n = \frac{1.96^2 \cdot 0.5 \cdot (1-0.5)}{0.05^2}

n = \frac{3.8416 \cdot 0.25}{0.0025}

n = \frac{0.9604}{0.0025}

n \approx 384.16

Rounding up, the number of surveys needed per city is 385.

Now, to find the total number of surveys needed for all three cities, we multiply the sample size by the number of cities:

Total number of surveys = 385 * 3 = 1,155.

Therefore, the company Bridgestone will need to conduct 385 surveys per city (DF, Guadalajara, Monterrey) and a total of 1,155 surveys across all three cities.

\boxed{385 \text{ surveys per city, } 1,155 \text{ surveys in total}}

Frequently asked questions (FAQs)
Question: For the sine function f(x) = sin x, what is the amplitude, period, phase shift, and range?
+
What is the product of 10 to the power of 4 multiplied by 3 to the power of 2?
+
What is the limit as x approaches 2 of (x^2 + 4x - 12) / (x^2 - 5x + 6)?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
-6n+5=-13
Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
calculate the normal vector of line y = -0.75x + 3
What is the appropriate measurement for the weight of an African elephant?
A box contains 18 blue balls and 33 white balls. What is the ratio of the blue to white balls?
A box of numbered pens has 12 red, 12 blue, 12 green and 12 yellow pens. The pens for each colour are numbered from 1 to 12. There is a unique number on each pen, so no pen is exactly the same as any other pen in the box. When reaching into the box to randomly draw five pens without replacement, what is the proportion of getting exactly four pens of the same colour (Note: the numbers matter but the order does not)?
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Calculate the difference between 407 and 27
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
(6²-14)÷11•(-3)
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
write in set builder notation { 1,3,9,27,81,243,...}
Define excel and why we use it?
g(x)=3(x+8). What is the value of g(12)
In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator. The accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper "Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments."† (Round your answers to four decimal places.) 1,018 1,007 1,054 988 937 1,030 1,065 1,011 860 1,106 A button hyperlink to the SALT program that reads: Use SALT. Calculate the variance for this data set. 7437.7333 Incorrect: Your answer is incorrect. Calculate the standard deviation for this data set. 86.2022 Incorrect: Your answer is incorrect.
(3b)⋅(5b^2)⋅(6b^3)
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.