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Test difference in mean battery life of two types of digital cameras

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Q-5a. One of the important features of a camera is the battery life as measured by the number of shots taken until the battery needs to be recharged. The data below contain the battery life of 31 subcompact cameras and 15 compact cameras. Assuming that the population variances from both types of digital cameras are equal, is there evidence of a difference in the mean battery life between the two types of digital cameras at the 95% confidence level?

Subcompact Compact
320 520
520 260
160 400
160 200
300 300
120 150
520 360
440 200
300 260
170 80
150 200
300 260
180 400
100 260
150 200
400
170
180
160
240
320
260
150
320
180
140
220
160
340
200
130

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Step by step method for computing test statistic for student's t test is given in the answers.

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