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Explain why you would also like to know the standard deviations of the battery lifespans before deciding which brand to buy.
Assume the wages are normally distributed with a standard deviation of $0.45. If a worker at this car wash is selected at random, what is the probability that the worker earns more than $6.75?
Six of the candidates are members of the debate team. What is the probability that none of the officers are filled by members of the debate team?
If 400 fans who attended a college football game last week are selected at random, what is the probability that more than 331 of them rooted for the home team?
Test if the purchase behaviour is independent of the sales approach at the significance level of 0.05, by answering the following.
Two basketball players, Carmelo and Jason, independently attempt a free throw. Given that at least one of the players missed, what is the probability that Jason made his free throw?
Set up the hypotheses to test if the new software has a shorter average processing time.
A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a pizza are pepperoni, onions, and mushrooms?
State your null and alternative hypotheses formally, state your test statistic, and quote the critical value from the t tables. State your final conclusion in plain language.
The number of flawed 12.0V batteries produced at a particular manufacturer averages 4.4 per week. What is the probability that exactly 5 12.0V batteries will be produced in given week?
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.