*This scenario applies to Questions 1 and 2*: A study was done to compare the lung capacity of coal miners to the lung capacity of farm workers. The researcher studied 200...

I need help solving the equation, $$x^2+4x+4=0$$

**For the following questions, assume that the population standard deviation σ = 5cl.** 1) A machine is set up such that the average content of juice per bottle equals...

8) In their advertisements, a new diet program would like to claim that their program results in a mean weight loss ($\mu$) of more than $10$ pounds in two weeks. State the...

5). Suppose a consumer advocacy group would like to conduct a survey to ﬁnd the proportion p of consumers who bought the newest generation of an MP3 player were happy with...

1. A sample of size $n = 100$ produced the sample mean of $\bar{X} = 16$. Assuming the population standard deviation $\sigma = 3$,compute a $95\%$ conﬁdence interval for the...

a) Concept 1. True or false: Setting the prior probability of a hypothesis to 0 means that no amount of data will make the posterior probability of that hypothesis the maximum...

1)The following data is from a random sample: $5, 1, 3, 3, 8$. Compute the sample mean, sample standard deviation and sample median.

1) Suppose $X$ is a random variable with $E(X) = 5$ and $Var(X) = 2$. What is $E(X2)$?

2) More cards! Suppose you want to divide a $52$ card deck into four hands with $13$ cards each. What is the probability that each hand has a king?

1) A full house in poker is a hand where three cards share one rank and two cards share another rank. How many ways are there to get a full-house? What is the probability of...

2) A correction in the February $14-21$, $2005$ issue of The New Yorker magazine stated that the January $3$ issue of that year “contained the incorrect statistic that...

2) A slightly anxious couple has one child (a boy) and is worried that the child may not be eating properly, perhaps causing it to grow more slowly than would be expected. The...

1) Suppose that in $2004$, the verbal portion of the Scholastic Aptitude Test (SAT) had a mean score of $\mu = 500$ and a standard deviation of $\sigma = 100$, while in the...

1) American mountain climbers typically express the height of the mountains they climb in feet, while Europeans characterize the height of mountains in meters. Recall that $1$...

1) True or False: If a data set is sufficiently large, its distribution will always appear approximately bell-shaped.

1) True or False: When applying simple linear transformations to data, that is, transformations of the form $y = a + bx$, the mean and standard deviation of $Y$ will be the...

2) A jar contains 3 red marbles, 7 green marbles, and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?

1) Assuming that we are given the following null hypothesis; $H_o : \mu = 100$. Conduct a lefttailed test with $\alpha = 0.05$, $\sigma = 15$, $n = 36$, $\bar{x} = 88$.