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).
A random sample of 51 newborn babies was taken at the Hospital. The sample mean was...
At St. Eligius Hospital, the weights of newborn babies follow a Normal distribution, with a mean of 7.5 pounds and a standard deviation of 1.2 pounds. If Dr. Cavanero tells a mother that her newborn baby has a weight that is at the third quartile (or Q3), this means the baby must weigh approximately A. 6.66 pounds. B. 7.75 pounds. C. 8.34 pounds. D. 8.75 pounds. E. 9.05 pounds
Homework Question #5 A random sample of n=19 North Pole babies is obtained and their mean weight is X = 3570 grams with a sample standard deviation of S = 498 grams. Carry out the appropriate statistical test to test the claim that North Pole babies have a population mean weight µ greater than 3420 grams which is the mean for American newborn babies. In developing your answer: 5a. What is the null hypothesis? 5b. What is the alternative hypothesis?...
born babies are boys Dothe results sup port the belefth at 51 2% of newborn babies are bo Arandom sample of 820 bǐths h ludd426 boys Use a 0 10 signifiance level to test the dain' that 51 2% of n Identily the null and aternative hypotheses for this test Choose the corect answer below A. Ho p-0.512 HI p#0512 О в. нор-0512 Hy p>0512 О С. Не р#0 512 HI p-0.512 H pc0512 dentify the lest statistic for this...
40. Sample weights (in pounds) of newborn babies born in two adjacent counties in Western Pennsylvania yielded the following data. = 53, X=6.8, S2 = 5.2, m= 44 T = 7.2 52 = 4.9 Consider a test of the hypothesis that the mean weight of newborns is the same in both counties. What is the resulting p-value?
2. Assuming that the weights of newborn babies at a certain hospital are normally distributed with mean 6.7 pounds and standard deviation 1.2. Use this information to label the graph and answer the following questions. 68% of the babies will weigh between pounds. 95% of the babies will weigh between pounds. Almost all babies will weigh between pounds. How many babies in a group of 80 from this hospital are expected to weigh more than 7.9 pounds?
The mean weight of all babies born at a hospital last year was 7.6 pounds. A random sample of 35 babies born at this hospital this year produced the following data: 8.2 9.1 6.9 5.8 6.4 10.3 12.1 9.1 5.9 7.3 11.2 8.3 6.5 7.1 8.0 9.2 5.7 9.5 8.3 6.3 4.9 7.6 10.1 9.2 8.4 7.5 7.2 8.3 7.2 9.7 6.0 8.1 6.1 8.3 6.7 a. What is the point estimate of the mean weight of babies born at...
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. If α = .05, what is the critical t value?
1. A random sample of 860 births at St. Jude’s Hospital included 426 boys. The national proportion of newborn boy babies is 51.2%. Use a 0.01 significance level to test the claim that the proportion of newborn boy babies at this hospital is different than the national average. a. Draw a normal curve for the sampling distribution for samples of size 860 births. Label the mean and the values for one, two and three standard deviations above and below the...
Dr. Hector claims that the mean birth weight of babies born at the hospital where he works is 8 pounds. Sheila, a nurse who assists Dr. Hector, wants to test this claim, so she takes a random sample of 55 babies born at the hospital. The following is the data from this study: The alternative hypothesis Ha:μ≠8. The sample mean weight of the 55 babies is 7.8 pounds. The sample standard deviation is 0.9 pounds. The test statistic is calculated...
A hospital claims that the proportion, P, of full-term babies born in their hospital that weigh more than 7 pounds is 37%. In a random sample of 185 babies born In this hospital, 79 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.05 level of significance? Perform a two-talled test. Then fill in the table below. Carry your Intermediate computations to at least three decimal places and round your answers as specified in...