Q) A sample of 40 adult men has an average height of 173 cm. Assume the population standard deviation is ? = 7.62 cm. Use Desmos or a scientific calculator to answer the following.

a) Evaluate the 95% confidence interval of the true mean.

Round your answer to 4 decimal places:

? ?

b) Evaluate the minimum sample size needed to build the 95% confidence interval within an error of 1 cm.

Answer:

c) A researcher claims that the true mean is more than 172 cm. Follow the steps to test the claim at level of significance ? = 0.05.

• Evaluate the critical value. Round to 4 decimal places:
• Evaluate the test statistic. Round to 4 decimal places:
• Is there enough evidence to reject the null hypothesis and support the researcher's claim? Answer by Y or N:

Q2) The data in the attachment shows the heights of a sample of 88 adult men in cm. Use Desmos to answer the following.

a) A researcher claims that the height of adult men is more than 173 cm. Follow the steps to test the claim at level of significance ? = 0.01.

Evaluate the following. Round all answers to 4 decimal places.

• Sample mean:
• Sample standard deviation:
• Test statistic:
• Critical value:

Is there enough evidence to reject the null hypothesis and support the researcher's claim? Answer by Y or N:

b) Evaluate the 99% confidence interval of the true mean.

Round your answer to 4 decimal digits.

? ?