A shoe manufacturer claims that athletes can increase their vertical jump heights using the manufacturer's training shoes. The vertical jump heights of eight randomly selected athletes are measured. After the athletes have used the shoes for 8 months, their vertical jump heights are measured again. The vertical jump heights (in inches) for each athlete are shown in the table. At \(\alpha=0.10\), is there enough evidence to support the manufacturer's claim? Assume the vertical jump heights are normally distributed.

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3 3 4 5 6 7 8 22 25 28 35 32 30 27 Athlete Vertical jump height (before using shoes) Vertical jump height (after using shoes) 1 2 24 23 25 26 25 25 29 29 33 74 34 35 30 30