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8. Berick is an aging herding dog in Ontario who gets regular checkups from her owner, the local veterinarian. Let x be a random variable

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8. Berick is an aging herding dog in Ontario who gets regular checkups from her owner, the local veterinarian. Let x be a random variable that represents Berick's resting heart rate (in beats per minute). From past experience, the vet knows that x has a normal distribution with o = 13. The vet checked the Sunny Veterinary Manual and found that for dogs of this breed / = 119, beats per minute. Over the past six weeks, Berick's heart rate (beats/min) measured: 93 111 110 88 118 112 The sample mean is x = 108.0. The vet is concerned that Berick's heart rate may be slowing. a) State the null hypothesis. (4) b) Does the data support the hypothesis that Berick's heart rate is slowing? (8)

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