Two salesmen A and B are working in a certain district. From a sample survey conducted by the Head Office, the following results are obtained as shown in Table 1. State whether there is any significant difference in the average sales between the two salesmen. Assume the populations to be approximately normally distributed with equal variances. Table 1: Comparison of Salesman A and B Salesman A B No. of Samples 20 18 Average Sales (Rs. In Thousands) 175 210 Standard Deviation (Rs. In Thousands) 20 25
Two salesmen A and B are working in a certain district. From a sample survey conducted by the Head Office, the following results are obtained as shown in Table 1. State whether there is any significant difference in the average sales between the two salesmen. Assume the populations to be approximately normally distributed with equal variances. Table 1: Comparison of Salesman A and B Salesman A B No. of Samples 20 18 Average Sales (Rs. In Thousands) 175 210 Standard Deviation (Rs. In Thousands) 20 25
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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- Two salesmen A and B are working in a certain district. From a sample survey conducted by the Head Office, the following results are obtained as shown in Table 1. State whether there is any significant difference in the average sales between the two salesmen. Assume the populations to be approximately
normally distributed with equal variances.
Table 1: Comparison of Salesman A and B
|
Salesman |
|
A |
B |
|
No. of Samples |
20 |
18 |
Average Sales (Rs. In Thousands) |
175 |
210 |
Standard Deviation (Rs. In Thousands) |
20 |
25 |
- The Energy Information Administration gathers data on residential energy consumption and expenditures and publishes its findings in Residential Energy Consumption Survey: Consumption and Expenditures. The independent simple random samples of households in the four U.S. regions yielded the data on last year’s energy consumptions are shown in Table 2. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in last year’s mean energy consumption by households among the four U.S. regions?
Table 2: Last year’s energy consumptions for samples of households in the four U.S. regions
Northeast |
Midwest |
South |
West |
15 |
17 |
11 |
10 |
10 |
12 |
7 |
12 |
13 |
18 |
9 |
8 |
14 |
13 |
13 |
7 |
13 |
15 |
- |
9 |
- |
12 |
- |
- |
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