Search & Filtering
Test the hypotheses, given p=0.42, p is not equal to 0.42, sample size=150, sample proportion=0.45, alpha =0.05
If a random sample of 38 public elementary schools is selected, what is the probability that the number of students enrolled is 452
an agronomist believes that a newly developed fertilizer will increase the mean harvest of eggplants by more than 2.5 kg. twenty six plants are treated with fertilizer and have a mean of 10.5 kg with standard deviation of 1.2. it is known that the population mean was 7.5 kg. test the claim at 0.01 level of significance
Answer in (Permutation and Combination)
- A college freshman must take a science course, a humanities course, and a mathematics course. If she may select any of 4 science courses, any of 3 humanities courses, and any of 2 mathematics courses, how many ways can she arrange her program?
- A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large, x-large) and in three colors (yellow, blue, and white). How many different types of sweatshirts will the store have to stock?
- For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts, and 3 pairs of shoes for her birthday. How many new outfits can she make?
1. A college freshman must take a science course, a humanities course, and a mathematics course. If she may select any of 4 science courses, any of 3 humanities courses, and any of 2 mathematics courses, how many ways can she arrange her program?
2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large, x-large) and in three colors (yellow, blue, and white). How many different types of sweatshirts will the store have to stock?
3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts, and 3 pairs of shoes for her birthday. How many new outfits can she make?
A hog raiser in a certain province uses two methods of pig-farming: intensive pig farming, where pigs are housed indoors in group-housing or straw-lined sheds; and extensive pig farming, where pigs are allowed to wander around the farm or fence. Test the hypothesis whether or not the mean weight of pigs in intensive farming is better than the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a one-tailed test at 𝛼 = 1%. Determine the Zcritical value of the problem above.
Solve for the t-computed value of the following. Write your answer to the nearest
hundredths. Show the complete solution.
- "\\chi" =15 "\\mu" = 12 s = 4 n = 12
- "\\chi" = 7.8 "\\mu" = 10 s = 5.1 n = 10
- "\\chi" = 5 "\\mu" = 5.3 s = 0.14 n = 8
- "\\chi" = 7.2 "\\mu" = 9.1 s = 1.8 n = 15
- "\\chi" = 5 "\\mu" = 7 s = 3 n = 10
Given 𝜇 = 45, and 𝜎 = 5.5. (7 points)
a. What is the raw score when 𝑧 = −1.57?
b. What is the raw score when 𝑧 = 2.09?
c. What is the raw score when −0.48 < 𝑧 < 1.4?
d. What is the raw score when −2.17 < 𝑧 < 1.79? e. What is the raw score when 𝑧 = 0.09?
Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 506 and a standard deviation of 96. (14 pts)
a. What is the probability of an individual scoring above 520? (with illustration, 6 pts)
b. What is the probability of an individual scoring below 506? (with illustration, 4 pts)
c. What is the probability of an individual scoring from 387 to 712? (with illustration, 4 pts)
If a freshman is selected at random to become student assistant, what is the probability of selecting a student with an IQ between 90 and 120? Draw the normal curve.
