Statistics and Probability Answers

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

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

An industry manufactures bus tyres that have an average lifetime of (42569) kilometers with a standard deviation of (2569) kilometers and the distribution of lifetime of the tyres is normal.

1-Find the probability of tyre’s lifetime is between (40069) km and (45069) km

2-What is the lifetime in km, that 69 % of tyres exceed?

A youngathlete wishes to test if the average cost of men's athletic shoes is less than P4000 compared to the claim that it is at least P4 000. He selects a sample of 36 pairs of shoes from a catalog and finds the average cost to be P3 790. The standard deviation of the population is P660. What is the probability of committing a type I error

seven students were on a diet in an attempt to lose weight with two losing weight while all the others gaining weight. is the diet an effective way of losing weight in business statistics

A certified public accountant claims that more than 30% of all accountants advertise. A sample of 400 accountants in Rizal province showd that 112 had used some form of advertising. At a ?0.01, is there enough evidence to support the claim? (Use p-value method)

Average Senior High School annual cost of tuition fee for all private schools last year was Php43,700. A random sample of costs this year for 45 private schools indicated that the sample mean was Php45,800 and a sample standard deviation was Php5,600. At 0.01 level of significance, is there sufficient evidence to conclude that the cost increased?

seven students were on a diet in an attempt to lose weight with 2 losing weight while the rest gaining weight. is the diet an effective way to losing weight

A gynecologist claims that the average birth weight of babies of mothers who used vitamin pills is higher than that of mothers who did not. The average birth weight of the population is 8.6 lbs. State the null and alternative hypotheses.