2. A random sample of 1500 students was selected from among the senior high school students across the Philippines. The average number of hours per day a typical student spends taking meals was found to be 2 h. Suppose the standard deviation of the population is s = 0.5 h. a. Construct the appropriate confidence intervals for the true mean number of hours per day a typical student spends taking meals. Summarize your answers in the table below. Level of Confidence (1 - a) * 100% Confidence Interval for u (1 – a) * 100% Lower Limit Upper Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the sample size on the length of the confidence intervals for the same level of confidence and the same population standard deviation. That is, what happens to the length of the confidence intervals when the sample size is increased?

Q: Amoy is the Project Manager of a project that must be completed by end of September 2024. The…

A:

Q: Persistence diagrams show the behaviour of drivers over the last few years across different…

A:

Q: roll a fair 7-sided die 5 times, what is the probability that none of the rolls are 3's or 4's? If…

A: Given that a fair 7-sided die rolled 5 times. When tossing 7-sided die, the probability of getting…

Q: o lizards play a role in spreading plant seeds? Some research carried out in a country weuld suggest…

A: Given Information: n1=n2=n3=n4=20 x¯1=2.80, x¯2=2.75,  x¯3=2.10,  x¯4=1.85 s1=0.30,  s2=0.36,…

Q: Four-week summer rainfall totals in a certain section of the Midwestern United States have a…

A:

Q: What are the odds in favor of drawing a king from an ordinary deck of cards?

A: We have given the following statement about the cards.

Q: What is the approximate (to the nearest ) probability that a five-card poker hand contains a pair…

A: Five card poker hand contains One pair of two a kind Single card Another pair of two a kind…

Q: offer such a scheme and the farmer would want to accept it? (Just write down the conditions, that…

A:

Q: To disprove a previous study that claims that college graduates make an average salary of $46,000, a…

A:

Q: A study shows the following one-generation transition probabilities among four major income groups.…

A:

Q: 7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue…

A:

Q: Solve for the probability that a random sample of 25 sports utility vans has an average within 0.5…

A: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

Q: A binomial random variable X reveals p=100 and o=20. Calculate P{X=101}.

A:

Q: Steve has 10 biscuits in a tin. There are 3 digestive, 2 chocolate and 5 ginger biscuits. Steve…

A:

Q: 10. A bowl contains 4 red balls and 2 green balls. Two balls are selected simultaneously and at…

A: Given,no.of red balls=4no.of green balls=2Total no.of balls=6

Q: The probability that two or three of the peoplo in the group are in thoir twenties is (Round to four…

A:

Q: You have a bag of marbles containing: 2 blue, 3 green, 2 red, and 1 yellow. You will pull 3 marbles…

A: Let there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment…

Q: uestion A fair die is tlirown five times. Let X be the tandom variable "namber of gethng an even…

A:

Q: A project has estimated optimistic (a), most likely (m) and pessimistic (b) times for activity D as…

A:

Q: Assume that you are drawing two balls without replacement from an urn that contains 10 green balls,…

A: for the given data find the probabibility

Q: Write a symbolic description of the following shaded area. Use the symbols P, M, n, U, -, and' as…

A:

Q: Let’s toss a biased coin twice and check the face of the coin. The probability for head  and tail…

A: To determine: To determine the sample space and to check for independent events of a biased coin

Q: The two-parameter gamma distribution can be generalized by introducing a third parameter y, called a…

A:

Q: Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by…

A:

Q: c.) Construct a frequency polygon

A: For the given data ( c ) Construct a frequency polygon

Q: A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5.…

A: Given Mean(μ)=50standard deviation(σ)=5

Q: You are watching the Washington Capitols hockey team play in the Stanley Cup at the Verizon Center,…

A:

Q: Which of the following would be valid in using Monte Carlo Simulation? I. Relationship between the…

A: We need to answer, what would be valid in using Monte Carlo simulation.

Q: Lin scores on 85% of her free throws. What is the expected waiting time before she misses the basket…

A: The lin scores on free throws is 0.85.

Q: To the right are the probabilities and values associated with five outcomes of an experiment.…

A: The table shows the probabilities and values associated with five outcomes of an experiment.

Q: 10.1. Expected Values of Sums of Random Variables (1) Let the joint probability density function of…

A:

Q: You may need to use the appropriate appendix table to answer this question. New York City is the…

A: Given that mean =204,s.d =55

Q: 5. Like hurricanes and earthquakes, geomagnetic storms are natural hazards with possible severe…

A: The random variable X follows normal distribution. We have to find the point estimate of the mean,…

Q: 8. It is claimed that "trained" mice are more likely to make a correct decision in a T-maze than are…

A: There are two categorical variables which are type of mice and decision made. We have to test…

Q: QUESTION 5 A lottery has a grand prize of $1,000,000, 4 runner-up prizes of $50,000 each, 14…

A: Given: The grand prize given is E1=$1 million=$1,000,000. The prize money won by 4 runners up is…

Q: In a recent twenty-year period 190 hurricanes struck the United States. a) Find the probability that…

A:

Q: 9. Find the minimum sample size needed to be within a margin of error of 2% of the population…

A:

Q: The probability of your team scoring a certain number of goals in a game is detailed in the table…

A: Given that  Probability mass function of X is  x 0 1 2 3 4+ P(X=x) 3/11 2/7 1/11 1/7 16/77

Q: Find the number of possible four-letter code words, selecting from the 26 letters in the alphabet,…

A: From the provided information, Total letters = 26 Four letter code words is formed.

Q: In an NBA championship series, the team which wins four games out of seven will be the winner.…

A:

Q: A box contains eight different pairs of shocks. If four shocks are chosen at random without…

A:

Q: 64. Employee training. All welders in a factory begin as apprentices. Every year the performance of…

A:

Q: (a) Find the probability that the client drives less than 10,000 miles/year and has an accident. (b)…

A: The data is given by   < 10000 10000 - 20000 20000 < Total Accident 0.06 0.10 0.29 0.45…

Q: Suppose for a given month, the mean daily closing price for stock A was 107.66 and the standard…

A: Given For A) Mean=107.66 Standard deviations=10.7 For B) Mean=74.11 Standard deviations=7.6

Q: The mean number of hours that Raphael worked over the past four weeks is 37.25. If he works 40 hours…

A:

Q: Make a creative interpretation for the given table below. Follow the proper guidelines in…

A: 35 males in the safety protocols has an average 4.10 with a standard deviation 0.931 and standard…

Q: Which are the correct null and alternative hypotheses?

A:

Q: Amazon claims that if you are a prime member 85% of your packages will arrive within two business…

A: Given that,  85% of the packages for prime members will arrive within two business days. Sample size…

Q: Suppose you use simple random sampling to select and measure 28 watermelons' weights, and find they…

A:

Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10