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
44 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)
Math question: Find the fourth derivative of f(x) = cos(x^2) at x = π/2.
+
How many diagonals does a polygon with 10 sides have?
+
Math Question: Is the limit of the sum of two functions equal to the sum of their limits?
+
New questions in Mathematics
CASE 6-1: PREPARE A PRODUCTION PLAN: WHAT PROBLEMS ARRIVE? Midwest Plastics Company has conducted profit planning for several years. The president stated (with justification) that inventory control and planning had not been satisfactory, which was mainly due to poor planning of production and inventory budgets. Please analyze and provide recommendations, in detail, on the issue regarding the 20B profit plan, which is now being prepared. Their analysis and recommendations will be presented to the executive committee. Despite the seasonality factor, the sales department has been successful in developing a sales plan, on a monthly basis, for each year. The following sales data is available for 20B. 1. Sales plan summary for 20B: 2. Finished goods inventory, as of January 1, 20B, is 96,000 units. 3. Work-in-process inventory will remain constant. 4. Actual annual sales in 20A, including the estimate for December, were 350,000 units. 5. The average finished goods inventory during 20A was 70,000 units. IT IS REQUESTED. 1. Prepare the annual production budget, assuming that management policy is to budget ending finished goods inventory at a standard quantity, based on the ratio of historical sales of 20A to inventory turnover. 2. Prepare a schedule showing sales, production, and inventory levels for each month, assuming: 1) stable inventory, 2) stable production, and 3) recommended inventory-production levels. In developing your recommendations, assume that the following policies have been established: a) The president has set the policy that a maximum inventory of 85,000 units and a minimum inventory of 75,000 units should be used, except in abnormal circumstances. b) A stable level of production is definitely preferred, except that during the holiday season in July and August, production may be reduced by 25 percent. Likewise, a variation in production of 7.5 percent above and below the average level is acceptable. 3. What are the main problems faced by the company in production planning? Make your general recommendations.
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
3(4×-1)-2(×+3)=7(×-1)+2
A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.
Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places
224 × (6÷8)
7/6-(-1/9)
Credit title that represents a payment order. This model, which emerged in Brazil, can only be issued in two specific situations: in the purchase and sale of commercial products or in the provision of services. Select the correct alternative: Question 6Answer The. Present value B. Promissory note w. Present value d. Duplicate It is. Bill of exchange
If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?
15/5+7-5
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
0.1x8.2
Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
Twenty‐five students in a class take a test for which the average grade is 75. Then a twenty‐sixth student enters the class, takes the same test, and scores 70. The test average grade calculated with 26 students will
Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
The blood types of individuals in society are as follows: A: 30%, B: 25%, AB: 20%, 0: 25%. It is known that the rates of contracting a certain disease according to blood groups are as follows: A: 7%, B: 6%, AB: 7%, 0: 4%. Accordingly, if a person selected by chance is known to have this disease, what is the probability of having blood group O?
Today a father deposits $12,500 in a bank that pays 8% annual interest. Additionally, make annual contributions due of $2,000 annually for 3 years. The fund is for your son to receive an annuity and pay for his studies for 5 years. If the child starts college after 4 years, how much is the value of the annuity? solve how well it is for an exam
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?