Question

The local nursery is waiting for its spring annuals to be delivered, and 20% of the...

The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered are petunias. If the first truck contains 120 plants packed at random, what is the probability that 30 or fewer are petunias?

a.     Before answering the question, verify that the three conditions of the Central Limit Theorem are met.

b.     The Central Limit Theorem states that if the conditions hold, the sampling distribution for is approximately normal. Express your answer in decimal form.    

                         i.     What is the mean of this distribution: ________

                       ii.     What is the standard error: ________________________ (Round to four decimal places.)

c. What is the probability that 30 or fewer are petunias? (Use the Normal Tables to answer this question)  

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

​​​​​

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
I need what to put on the TI-84 calculator and verify that all conditions of the...
I need what to put on the TI-84 calculator and verify that all conditions of the Central Limit Theorem have been met. Answer is next to the question on the bracket. Note: Before answering the following questions, make sure to verify that all conditions of the Central Limit Theorem have been met. 7.2.3 Fifty-six percent of self-employed workers work at home during the week compared to only 20% of wage and salary workers. Self-employed workers are also more likely to...
Suppose that the waiting time for a license plate renewal at a local office of a...
Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 30 minutes and a standard deviation of 8 minutes. i. What is the probability that a randomly selected individual will have a waiting time of at least 10 minutes? ii. What is the probability that a randomly selected individual will have a waiting time between 15 and 45 minutes?...
1. The Central Limit Theorem for the proportion requires np >= 10 and n(1-p) >= 10,...
1. The Central Limit Theorem for the proportion requires np >= 10 and n(1-p) >= 10, and that the sample was collected using an SRS. If these requirements are met, then the distribution of the sample proportion is approximately normal. If we know that the population proportion is p, what are the mean and standard deviation for the distribution of the sample proportion? Assume you know that n = 1002 and p = .50. Use this information in problems 2-4....
You may need to use the appropriate appendix table or technology to answer this question. Software...
You may need to use the appropriate appendix table or technology to answer this question. Software companies work hard to produce software that does not have bugs in it. The average number of bugs found in a new software program at its inception is 26.5 with a standard deviation of 3.5 bugs. A random sample of size 45 software programs was examined. (a) Determine the mean (in bugs) of the sampling distribution of the sample mean for samples of size...
An exhaustive study of all active Facebook accounts was recently conducted by Facebook. One variable Facebook...
An exhaustive study of all active Facebook accounts was recently conducted by Facebook. One variable Facebook recorded was the number of friends X of each Facebook user. Suppose X has expected value E(X) = 184 and standard deviation SD(X) = 293.6. Since the possible values of X are only integers and since the distribution of X is highly skewed to the right, the distribution of X cannot be described by a normal model. Suppose you select a random sample of...
Suppose that X1, X2,   , Xn and Y1, Y2,   , Yn are independent random samples from populations with...
Suppose that X1, X2,   , Xn and Y1, Y2,   , Yn are independent random samples from populations with means μ1 and μ2 and variances σ12 and σ22, respectively. It can be shown that the random variable Un = (X − Y) − (μ1 − μ2) σ12 + σ22 n satisfies the conditions of the central limit theorem and thus that the distribution function of Un converges to a standard normal distribution function as n → ∞. An experiment is designed to test...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $28 and the estimated standard deviation is about $8. (a) Consider a random sample of n = 50 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount...
In cases where we do not know the sample distribution and we have sufficiently large n,...
In cases where we do not know the sample distribution and we have sufficiently large n, then we can apply the Central Limit Theorem. That is to say, according to the CLT, x can have any distribution whatsoever, but as the sample size increases, the distribution of   will approach a normal distribution. The CLT formula is Where n is the sample size (n ≥ 30), μ is the mean of the x distribution, and σ is the standard deviation of...
On any given flight, the goal of an airline is to fill the plane as much...
On any given flight, the goal of an airline is to fill the plane as much as possible, without exceeding the capacity of the plane. In order to achieve this, the airlines routinely overbook their flights in consideration of last minute cancellations. We assume that a customer cancels his/her ticket in the last minute with probability 0.06, independent of the other customers. We also assume that the airline is not able to sell more tickets in order to replace the...
1. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank...
1. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 6 customers per hour or 0.1 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 54 customers per hour, or 0.9 customers per minute. Determine the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT