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Conduct a traditional hypothesis test for the null hypothesis H0: µ = 100 against the alternative


hypothesis H1: µ > 100 based on the 35 random observations. The sample mean is 105 and the


sample standard deviation is 15. Use α = 0.01.

The average height of all entering freshmen students is 165 cm with the standard deviation


. To test the claim, a researcher selected a random sample of 50 freshmen of a certain


college. In this sample, and . Is the claim true?

Identify the surface of the ρ = sinΦsinθ by converting them into equations in the Cartesian form. Show the complete solutions.


Identify the surface of the z2 = 4 + 4r2 by converting them into equations in the Cartesian form. Show the complete solutions.


Give your own examples of research study that use the following sampling techniques. (1 example each)

  • Random Sampling 

Simple Random Sampling

Systematic Sampling

Stratified Sampling

Cluster Sampling

  • Non-Random Sampling

Convenience Sampling

Purposive Sampling

Quota Sampling

Snowball Sampling

Voluntary Sampling

Judgment Sampling

pls no copy paste


What is the 5th percentile of a




t




-distribution whose sample size is 23?

A company produces mosquito repellants that have a period of effectiveness that is approximately normally distributed with a mean of 300 hours and a standard deviation of 30 hours. A sample of 40 repellants was taken and the average period of effectiveness is computed as 290 hours. Is this sufficient evidence to conclude that the company’s claim is true at α=0.01?

The owner of a fast-food shop claims more than 45% of the household within 5-kilometer radius of the fast-food shop have at least one member who eats at the fast-food shop at least once a week. In a sample of 250 households in the area, an investigator found that members of 180 households did so. Do these data provide sufficient evidence to support the fast-food shop owner’s claim? Use 90% level of confidence.

soft drink dispenser is designed to dispense 250 mL of drink per cup. However, there have










been recent reports to the managements of a fast-food restaurant of both underfilled and










overfilled cups. Seeking to investigate this matter, they fill up 40 cups using this machine. If the mean amount of drink in the 40 cups is 245 mL with standard deviation of 10 mL, is there a










cause for concern for the management? Use a level of significance of 0.01

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