null hypothesis ii) alternate hypothesis iii) test statistic (z or t value –remember the information in the problem will help determine if you use a z or t) iv) P-Value compared to the level of significance(α). v) Conclusion

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Rosie is an aging sheepdog in Montana who gets regular checkups from her owner, the local veterinarian. Let x be a random variable that represents Rosie’s resting heart rate (in beats per minute). From past experience, the vet knows that x has a normal distribution with σ= 12. The vet checked the manual and found that for dogs of this breed, μ= 115beats per minute. Over the past six weeks(n=6), Rosie’s sample mean hear rate was x̄=105.0. The vet is concerned that Rosie’s heart rate is slowing and is less than 115.0. Does the data indicate that this is the case? Use a level of significance α= .05 to conduct a hypothesis test. You must include the following:

i) null hypothesis

ii) alternate hypothesis

iii) test statistic (z or t value –remember the information in the problem will help determine if you use a z or t)

iv) P-Value compared to the level of significance(α).

v) Conclusion (Do you reject or fail to reject the vet’s claim?)

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