Solve the following problems by hypothesis testing. Run a two-tailed test on the following data using a = 0.05. The average heights of a random sample of 100 entering HRM freshman of a certain college is 157 cm with a standard deviation of 8 cm. Test the data against the claim that the overall height of all entering HRM students is 160 cm. Previous studies showed that o = 5 cm. %3D

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Solve the following problems by hypothesis testing. Run a two-tailed test on the
following data using a = 0.05.
The average heights of a random sample of 100 entering HRM freshman of
a certain college is 157 cm with a standard deviation of 8 cm. Test the data
against the claim that the overall height of all entering HRM students is
160 cm. Previous studies showed that o = 5 cm.
A random sample of n = 25 is taken from a normally distributed population
with a mean u = 80 and standard deviation o = 5. If X = 78 and s = 3.6, is
there a significant difference between the means? Use a = 0.05.
3. The principal of a school claims that 30% of Grade 3 pupils stay in the
playground after their classes. A survey among 500 Grade 3 pupils revealed
that 150 of them stay in the playground after their classes. Use 95% confidence
level to conduct a test of proportions.
Transcribed Image Text:Solve the following problems by hypothesis testing. Run a two-tailed test on the following data using a = 0.05. The average heights of a random sample of 100 entering HRM freshman of a certain college is 157 cm with a standard deviation of 8 cm. Test the data against the claim that the overall height of all entering HRM students is 160 cm. Previous studies showed that o = 5 cm. A random sample of n = 25 is taken from a normally distributed population with a mean u = 80 and standard deviation o = 5. If X = 78 and s = 3.6, is there a significant difference between the means? Use a = 0.05. 3. The principal of a school claims that 30% of Grade 3 pupils stay in the playground after their classes. A survey among 500 Grade 3 pupils revealed that 150 of them stay in the playground after their classes. Use 95% confidence level to conduct a test of proportions.
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