One study revealed that a child under the age of 10 watches television 4.5 hours per day. A group of families from a certain community would like to believe that their children watch television less than the national average. A random sample of 14 children from the community yielded a mean of 4.1 hours per day with standard deviation of 1.2. Test the appropriate hypothesis at the level of significance 0.01. Assume the viewing time is normally distributed and interpret your results. Let mu be the average time a child under the age 10 watches television. Group of answer choices: A. H0: mu = 4.5, Ha: mu is not equal to 4.5 Since the observed value of test statistics in absolute value is 4.67 which is greater than 3.01, the sample data do not support that these children watch less television than the national average. B. H0: mu = 4.5, Ha: mu is not equal to 4.5 Since the observed value of test statistics in absolute value is 1.25 which is less than 3.01, the sample data do not support that these children watch less television than the national average. C. H0: mu = 4.5, Ha: mu < 4.5 Since the observed value of test statistics is -1.25 which is greater than -2.65, the sample data do not support that these children watch less television than the national average. D. H0: mu = 4.5, Ha: mu < 4.5 Since the observed value of test statistics is -4.67 which is less than -2.65, the sample data support that these children watch less television than the national average.
One study revealed that a child under the age of 10 watches television 4.5 hours per day. A group of families from a certain community would like to believe that their children watch television less than the national average. A random sample of 14 children from the community yielded a mean of 4.1 hours per day with standard deviation of 1.2. Test the appropriate hypothesis at the level of significance 0.01. Assume the viewing time is
Let mu be the average time a child under the age 10 watches television.
A. H0: mu = 4.5, Ha: mu is not equal to 4.5
Since the observed value of test statistics in absolute value is 4.67 which is greater than 3.01, the sample data do not support that these children watch less television than the national average.
B. H0: mu = 4.5, Ha: mu is not equal to 4.5
Since the observed value of test statistics in absolute value is 1.25 which is less than 3.01, the sample data do not support that these children watch less television than the national average.
C. H0: mu = 4.5, Ha: mu < 4.5
Since the observed value of test statistics is -1.25 which is greater than -2.65, the sample data do not support that these children watch less television than the national average.
D. H0: mu = 4.5, Ha: mu < 4.5
Since the observed value of test statistics is -4.67 which is less than -2.65, the sample data support that these children watch less television than the national average.
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