Statistics and Probability Answers

why does the alternative hypothesis is greater than even though there's no word in a claim that simbolizes that its greater than?

In a learning style study,1200 respondents were asked if they can assimilate concepts while watching television 586 said yes find a 90% confidence interval for the population proportion p.

The error is approximately:

The lower limit and the upper limit are?

The mean gasoline consumption of 10 cars is 28 liters with standard deviation of 1.6 liters.Find the point interval estimates using 35% confidence level.

The lower limit is approximately:

The upper limit is approximately:

Please give also the solution:)

Toss a coin five times.

a. Draw the diagram.

b. List the number of heads that will occur.

c. Tabulate the probability distribution for the number of heads.

1. The owner of a factory that sells a particular bottled fruit juice claims that

the average capacity of a bottle of their product is 250mL and standard

deviation of 3 ml. A random sample of 50 bottles of fruit juice have a mean

volume of 245 ml. At a level of significance of 5%, is there a sufficient

evidence to the support the claim of the owner?

a. What is the null hypothesis?

__________________________________________________

b. What is the alternative hypothesis?

__________________________________________________

c. What is the level of significance?

__________________________________________________

d. What is/are the critical value/

Assignment 2

True or False(Please help me)

Question 1

Consider tossing a die and let S denote the set of all possible numerical observations for a single toss of a die.Suppose A=[2,4],then the compliment event Ac(or A)is 2 over 6.

Question2

Suppose A and B are two events.The expression that describes both events to occur is A or B.

Question 3

Suppose that you are given an event A with probability of the event donated by P(A),the P(A) is always greater or equal to 0.

Question 4

Consider two events A and B that are independent,then P(A and B)=0

Question 5

If an event A does not occur,then the compliment event Ac will not occur.

Question 6

If event A and B are independent with P(A)=0,25 and P(B)=0.60,then P(A|B)is 0.15

Question 9

Consider an experiment that consists of rolling a six-sided die with the sample space S=[1,2,3,4,5,6]-The probability that a tutor rolls and event number is [2,4,6].

Question 13

Let P(A)=0.65,P(B)=0.30 and P(A|B)=0.45.Events A and B are independent.

Suppose that 2 batteries are randomly chosen without replacement from the following group of 9 batteries: 3 new, 4 used (working), 2 defective. Let X denote the number of new batteries chosen. Let Y denote the number of used batteries chosen. a. Find the joint probability distribution, 𝑃(𝑋 = 𝑥, 𝑌 = 𝑦). b. Find 𝐸[𝑋].