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Test the hypothesis that the proportion of customers who prefer sauce A is the same for those who try sauce A first, as for those who try sauce B first. State your null and alternative hypotheses c
Can he actually do what he claims? Is a probability distribution described by listing the outcomes along with their corresponding probabilities?
Construct a 99% confidence interval for the difference in mean weight between the two groups. Is zero (0) inside the confidence interval? Comment on what you can conclude from this.
If the supermarket begins each morning with a stock of 61 cartons of eggs, approximately what percentage of days will there be a surplus of eggs?
Give the probability distribution of Y = X^2 and compute E[Y ] using the distribution of Y. Determine E[X^2].
The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, how will the standard error change?
The life span of a battery is normally distributed, with a mean of 2000 hours and a standard deviation of 30 hours. What percent of batteries have a life span that is more than 2065 hours?
Only drivers who obtain z-scores greater than 1.2 will qualify for the race. If the speeds are normally distributed, what minimum speed must be clocked to compete for the trophy?
A recommendation as to whether Oceanview should employ the market research firm, along with the value of the information provided by the market research firm.
The next trial is a success with probability 0.8; otherwise the next trial is a success with probability 0.5. Model this Markov Chain and find the proportion of successful trials.
Given that 43% is the best estimate of the population percentage, why would we need a confidence interval? That is, what additional information does the confidence interval provide?
It is estimated that about 15,000 different telephone numbers are needed to serve the university's needs. Are there enough telephone numbers available for this purpose? Justify your answer.
A local social service agency is asked to determine areas in the greatest need of social support. The neighbourhoods that are identified as being in need of assistance will qualify for the city's ne
The blocks can be distinguished only by color. If the child lines up the blocks in a row at random, calculate the following probabilities: Red blocks appear at both ends.
Estimate the mean wait time using a 99% confidence interval. Assume that wait times are normally distributed.
Each note in the melody must be one of the 14 notes in her vocal range. How many different sequences of 3 notes are possible?
What is the probability that two have no checkups, four will have one checkup and one will have two checkups in the next year?
A researcher wants to study the physical activity levels among adults. The mean weight of adult Torontonians is 135 lbs with a standard deviation of 10 lbs. She does a survey of 10 individuals who h
Find the mean and standard deviation of the number of cars that have more than 1 passenger among the 500 cars stopped at a cordon-point for a survey. Assume that 5% of all cars have multiple passeng
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten.
If the annual precipitation amount has a normal distribution, what is the probability that next year the total precipitation will be:
Verify the percentages reported in the table, and convert them into proportions. If one person is picked at random from all the people represented in the table, what is the probability of the follow
It also has proportion unemployed of .1. a sample of 60 people is taken in the city. what is the probability that the average income in the city is between $61,000 and $66,000?
The company uses a computer to randomly select employee numbers that range from 1 to 6296. Find the probability of selecting a number that is not divisible by 1000.
The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.11, what is the probability that the mixture will