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
83 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)
What are the characteristics of the hyperbola function with a transverse axis length of 8, a conjugate axis length of 6, and a center at the origin?
+
What is 45% of 80?
+
Math Question: What is the vertex form of the quadratic function y = 2x^2 - 4x + 3?
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
calculate the following vector based on its base vectors a= -18i,26j
A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?
[(36,000,000)(0.000003)^2]divided(0.00000006)
(6.2x10^3)(3x10^-6)
The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
89, ÷ 10
How to do 15 x 3304
Quadratic equation 2X = 15/X + 7
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i
15.A newly married couple purchased a home with a $123710 down payment. They financed the remaining balance of the home with a mortgage. Their payments were $15395 at the end of every six months for 23 years and the interest rate was 10.6%, compounded semi-annually. How much did they purchase their home for. Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.
Cuboid containers (open at the top) should be examined with regard to their volume. The figure below shows a network of such containers (x ∈ Df). Determine a function ƒ (assignment rule and definition area D) that describes the volume of these containers and calculate the volume of such a container if the content of the base area is 16 dm². Show that this function f has neither a local maximum nor a global maximum
2 - 6x = -16x + 28
16-(x²+x+2)²
Define excel and why we use it?