Math Answers

A certain group of welfare recipients receives relief goods with a mean amount of Php 500.00 per week. A random sample of 75 recipients is survived and found that the mean amount of relief goods they received in a week is Php 600 and a standard decision of Php. 50.00. Test the claim at 1% level of significance is not Php 500.00 per week and assume that the population is approximately normally distributed.

Determine the following

Null and alternative hypothesis:

Critical value and rejection region:

Computed test statistic:

Conclusion:

a survey company, sws, claims that a majority of gen z voters prefer leni robredo as the next president over that of its main competitor, bongbong marcos. to test this claim 500 randomly selected people were surveyed. among them, 270 leni, 211 bbm, and 1919 could not make up their minds. determine whether there is sufficient evidence, at the 5% level of significance, to support the sws survey claim against the default that the population is evenly split in its preference. Show your calculations.

four coins are tossed.Let Z be the random variable representing the number of heads that occurs.find the values of the random variable Z

A person throws a 755 g ball up at an angle such that it has an initial speed of 15.0 m s⁻¹. After a short time the ball has a speed of 5.30 m s⁻¹.

How much higher is the ball than when it was let go? (in m to 3 s.f) 

Activity 2. (List and Construct)

A group of students got the following scores in an achievement test:

9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this

population

a. Determine and list all possible samples and the corresponding sample

means.

Random Samples

Sample Means

Probability

b. Construct a sampling distribution of the resulting sample means

Frequency

Sample Means

Determine whether each of these pairs of sets are equal.

1. {1,3,3,3,5,5,5,5,5}, {5,3,1}

2. {a,c,t}, {c,a,t}, {t,a,c}

3. {a,c,t}, {a,c,t,o,r}

List the members of the set

I is the set of integers that lies between -1 and 5

Determine whether each of these sets is the power set of a set, where a and b are distinct elements.

1. {0}

2. {0, { a } , { 0, a }}

3. {0, { a } }

4. {0, { a }, { b }, { a, b }}

In a party, there are 12 people with white shirts and 7 people with red shirts;

4 people have black shoes and white shirts;

5 people have black shoes and red shirts;

the total number of people with white or red shirts or black shoes is 21.

How many people have black shoes?

In a party, there are 12 people with white shirts and 7 people with red shirts;

4 people have black shoes and white shirts;

5 people have black shoes and red shirts;

the total number of people with white or red shirts or black shoes is 21.

How many people have black shoes?