In April 2025
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A manufacturer of shampoo claims that 40% of the shampoo users prefer brand X. To test this claim, a random sample of 55 participants are selected and asked what brand they prefer. If 26 of the 55 participants prefer brand X, what conclusion do we draw? Use a 0.01 level of significance.
to determine the number of sets of all possible random means using the formula of where N is the population size and n is the sample size
What statistical treatment should I use to test the difference of both nominal variables (IV - Sex, DV - Type of motivation)? Our panelists wanted us to use type instead of level so I think t-test won't be possible to use. Chi square is for test of association. I'm confused.
UNDERSTANDING HYPOTHESIS TESTING
I. Directions: State the null and alternative hypothesis in words and in symbols:
1. The school record claims that the mean score in Math of the incoming Grade 11 students is 18.5. The teacher wishes to find out if the claim is true. She tests if there is significant difference between the batch mean score and the score of students in her class.
2. The average number of calories of a low-calorie meal is at most 300.
3. A social worker wants to test (at = 0.05) whether the average body mass index (BMI) of the pupils under feeding program is different from 8.2kg.
4. The average height of the college varsity basketball players in a certain university is 178cm.
5. A DTI representative wants to test at 99% confidence level whether the average content of a medium canned soda is less than 330 ml as indicated in the label.
Directions: Read, analyze, and solve the problems below. Show your complete solutions.
a. What is the probability that the 36 tires will have an average of less than 16,000 miles until the tires begin to wear out?
b. What is the probability that the 36 tires will have an average of more than 18,000 miles until the tires begin to wear out?
3 The number of driving miles before a certain kind of tire begins to show wear is on the average, 16, 800 miles with a standard deviation of 3, 300 miles.
2 The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of 50 novels is randomly chosen, what is the probability that the average number of pages in these books is between 319 and 331?
1 There are 250 dogs at a dog show that weigh an average of 12 pounds, with a standard deviation of 8 pounds. If 4 dogs are chosen at random, what is the probability that the average weight is greater than 8 pounds?
In the previous s.y, the principal of a school claims that
30% of grade 11 learners stay in the library after their
classes. A survey among 300 grade 11 learners revealed
that 90 of them stay in the library after class with 95%
confidence level.
1. Given the information: the sampled population is normally distributed, X- = 36.5, o = 3, and n = 20.
a. What is the 95% confidence interval estimate for μ?
b. Are the assumptions satisfied? Explain why.
Derive 4 central moments of B.D., P.D. and N.D.
If x ( N(10,900), find M, Md, Mo, QD, MD, maximum probability of x
Find P.D. from B.D. using Stirling’s approximation.
