Statistics and Probability Answers

1. The average time spent of STEM students in answering their module is 5 hours daily. Illustrate the null and alternative hypotheses. Express your answer in symbols.

2. Mrs. Serrano the canteen manager in PSNHS claims that the average capacity of their bottled water is 350ml. Identify the null and alternative hypotheses if the HUMSS students calculated the capacity of each bottle and found out the contents to be 340ml from a sample of 50 bottled water. Write your answer in symbols.

3. The average age of teachers in PSNHS is 36. The mean age of 26 sample SHS teachers is 35 with a standard deviation of 3 years. Illustrate the table Ho - Ha, below to illustrate hypotheses.

4. The average net pay of PSNHS personnel is Php 10,000. Identify the parameter and its exact value to be tested.

I need answers for all these questions please help me

The mean spent time by each teacher in online classes is 60 minutes.Determine the parameter to be tested and its exact value.

Find the area under the normal curve. Draw the illustration.

Between z= –2.38 and z= 1.42

Find the area under the normal curve. Draw the illustration.

z= 1.35

between z=0.35 and z= 2.46

Find the area under the normal curve. Draw the illustration.

z=–2.37

Find the area under the normal curve. Draw the illustration

z=1.03

A nationwide survey found out that the average time that college students spent on their personal computer is 10.5 hours per week. A random sample of 28 college students showed that they spent 8.5 hours per week using their computers with a standard deviation of 1.2 hours. Test whether the average number of hours spent by the 28 college students is significantly lower than the national average of 10.5 hours. Use a level of significance of 5%

(a) The mean and standard deviation of a set of values are 25 and 5, respectively. If a constant value 5 is added to each value, the coefficient of variation of the new set of values is equal to 10%.

(b) If (A) = 90, (AB) = 40, N = 150 and (β) = 80 then (αβ) = 30.