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a population of pwd learners in 5 schools in a certain municipality of quezon province are (x) 9 5 6 12 and 25. suppose that two schools were selected as sample determine the mean and variance of the sampling disteibution of sample mean
Conduct Hypothesis Testing Using Small-Sample Tests.
An experimental study was conducted by a researcher to determine if new time slot has an effect on the performance of students in mathematics. Ten randomly selected students participated in the study. Toward the end of the investigation, a standardized assessment was conducted. The sample mean was X=75 and the standard deviation s=20. In the standardization of the test, the mean was 65 and the standard deviation was 10. Based on the evidence at hand, is the new time slot effective? Use α=0.05.
Conduct Hypothesis Testing Using the Traditional Method
The Mathematics Department in a certain university is conducting a study to determine how long it takes its graduates to find a job. A sample of 80 graduates was surveyed and it was found out that the average time it has taken a graduate to find a new job is 2.5 months, with a standard deviation of 2 months. Is there a sufficient evidence to conclude that the graduate of this department takes on the average more than two months to find a job? Use the 90% confidence level.
Direction: Perform what is being asked. Follow the steps indicated in the first column of the table to complete the activity. In the second column, write your solution on the spaces provided. Situation: A population of PWD learners in 5 schools in a certain municipality of Quezon Province are () 9, 5, 6, 12, and 15. Suppose that two schools were selected as samples, determine the mean and variance of the sampling distribution of sample mean
An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You randomly select 19 water samples and measure their pH level. The mean and standard deviation are 6.5 and 0.25, respectively. Is there enough evidence to reject the company’s claim at a significance level of 0.05?
Q1.a).A certain store has four ways of handling returns: cash refund, credit to account, exchange, or refusal. The manager claims that the four ways are equally probable.to test this hypothesis, 108 customers were sampled with the following results
Type
Cash
Credit
exchange
Refusal
Count
34
27
32
15
Does the data support the managers claim at 5 %. (6mks)
d) A random sample of size 36 was taken from a population distributed as Nμ,3.92.The value of the sample x was 15.6. i. Find a 90% confidence interval for μ. (5mks)
It is believed that value of μ is 17. Use your confidence interval to comment on this belief.(2mks)
- Using the provided information below,
x=33.2 , x2=131.67, y=30.78 , y2=116.52, xy=119.8 , and n=10
- Find the sample correlation coefficient r (4mks)
- Find the co-efficient of determination (2mks)
b). Seven students went on a diet in an attempt to lose weight, with two of them losing weight while all the others added weight. Is the diet is an effective way to losing weight α=1% (5mks)
c) Two judges in a beauty contest rank the ten competitors in the following order.
x 6 4 3 9 2 7 1 5 10 8
y 4 1 6 7 5 8 2 3 9 10
Do the two judges appear to agree in their standards? (6mks)
Suppose a population is composed of only 3 measures: 1, 2, and 3. The possible samples of size 2 can be draw from this population. List all the possible sample size 2 when repetition is allowed or with replacement.
Jepoy has one 100-peso bill, two 200-peso bills, and five 500-peso bills in his wallet. He wants to randomly pick one bill. Let X be the random variable of choosing one bill from his wallet.
Questions:
1. Construct the probability distribution table of X. [2 points]
2. Compute for the mean of X, denoted as E(X). [2 points]
3. Interpret the mean of X. [1 point]
4. Compute for the variance of X, denoted as V(X). [5 points]
5. Compute for the standard deviation of X, denoted as SD(X). [2 points]
Interpret the standard deviation of X. [1 point
