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A random sample of 51 newborn babies was taken at the Hospital. The sample mean was...

A random sample of 51 newborn babies was taken at the Hospital. The sample mean was 6.87 pounds and the standard deviation was 1.76 pounds. In previous studies, the mean newborn weight was found to be 7.5 pounds.

a. Does the sample from the Hospitalindicate that the mean newborn weight is less than what was found in previous studies? Use a hypothesis test with the 7-step method and the critical value method to verify if there is enough significant evidence (? = 0.05) to negate the results of the previous research.

b. Calculate the p-value of the test statistic.

c. Use Rstudio to justify the results of the hypothesis test (and include the R output).

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