Knowee
Questions
Features
Study Tools

examine the most likely price in mumbai corresponding to the price of rs.70 at kolkata from the following average price in kolkata is 65 and standard deviation in kolkata is 2.5 average price in mumbai is 67 and standard deviation is 3.5 correlation coefficient between the price of commodities in the two cities is 0.8

Question

examine the most likely price in mumbai corresponding to the price of rs.70 at kolkata from the following average price in kolkata is 65 and standard deviation in kolkata is 2.5 average price in mumbai is 67 and standard deviation is 3.5 correlation coefficient between the price of commodities in the two cities is 0.8

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the most likely price in Mumbai corresponding to the price of Rs.70 in Kolkata, we can use the formula for the z-score, which is (X - μ) / σ, where X is the data point, μ is the mean, and σ is the standard deviation.

Step 1: Calculate the z-score for the price in Kolkata. Zkolkata = (70 - 65) / 2.5 = 2

This means that the price of Rs.70 in Kolkata is 2 standard deviations above the mean price in Kolkata.

Step 2: Use the correlation coefficient to find the z-score in Mumbai. Zmumbai = correlation coefficient * Zkolkata = 0.8 * 2 = 1.6

This means that the most likely price in Mumbai is 1.6 standard deviations above the mean price in Mumbai.

Step 3: Convert the z-score back to the price in Mumbai. Price in Mumbai = Zmumbai * σmumbai + μmumbai = 1.6 * 3.5 + 67 = 72.6

So, the most likely price in Mumbai corresponding to the price of Rs.70 in Kolkata is approximately Rs.72.6.

This problem has been solved

Similar Questions

Why do you think the mean price for Delhi is higher than the mean price for Mumbai?

Suppose you are the manager of a pizza restaurant chain. You are planning to open new outlets in Mumbai and New Delhi. You know the prices of the cheapest pizza from other outlets in each city. You are given the task of setting competitive prices for your menu.Pizza Prices in Mumbai (₹) Pizza Prices in Delhi (₹)480 500450 330350 340220 1,800350 250- 210 Question 2/4MandatoryCentral TendenciesWhy do you think the mean price for Delhi is higher than the mean price for Mumbai?

Let the data 76, 84, 30, 78, 68, 87, 59, 88, 98 represent the retail prices in rupees of a certain commodity in 9 randomly selected shops in a particular city. What will be the sample variance of the retail prices, if 2 rupees is added to all the retail prices. (Correct to 2 decimal place accuracy)

Suppose you are the manager of a pizza restaurant chain. You are planning to open new outlets in Mumbai and New Delhi. You know the prices of the cheapest pizza from other outlets in each city. You are given the task of setting competitive prices for your menu.Pizza Prices in Mumbai (₹) Pizza Prices in Delhi (₹)480 500450 330350 340220 1,800350 250- 210 Question 3/4MandatoryMedianWhat is the median price for Mumbai and Delhi, respectively?₹350 and ₹335₹350 and ₹330₹220 and ₹340₹420 and ₹330

The following observations are given for two variables.Daily demand (y)Unit price (x)     18.00       3.00     20.00       5.00     22.00     11.00     24.00     12.00Average21.007.75Standard deviation2.584.43 Correlation coefficient is

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.