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Question 1
The Rutter Nursery Company packages its mulch in 50 kg bags. From a long history, the shipping department reports that the distribution of the bag masses follows the normal distribution and the standard deviation of this process is 3 kg per bag. At the end of each day, Jeff Rutter, the shipping manager, selects 10 bags and computes the mean mass of the sample. The sample mean was found to be 48.18 kg.
a) Can Mr. Rutter conclude that the mean mass of the bags is less than 50 kg? Use the 1% significance level.
b) Calculate the p-value.
Given large random samples from two binomial populations, show that the null hypothesis θ1 = θ2 can be tested on the basis of the statistic
A sample of 46 homes in a subdivision revealed that 20 were ranch style (as opposed to colonial, tri-level, or Cape Cod). Construct a 98 percent confidence interval for the true proportion of ranch style homes.
Describe how you would simulate the number of seatbelt-wearing drivers among the five cars.- Run at least 30 trials.
A Russian SVR agent has 45 million dollars which he can spend to bribe academics, politicians, and bloggers to spread disinformation and to promote anti-American propaganda
Prove the initial value of a forward contract at the beginning of the contract (where t = 0)?
a student wants to assess whether her dog muffin tends to chase her blue ball more often than she chases her red ball.
Using the original data, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.
1. Discrete Probility Distributions Questions. Assume X is a random variable. (a) Values of a random variable, X, can not be negative or greater than one.
Write a brief comparison of the distributions of weights for the two groups. Include appropriate graphics.
the management of the ceebler fairy corporation is considering relocating the corporate office to a new location
The next new product introduction rang up 92 (thousand) the first year. How many standard deviations (from part a) is this from the average (also from part a)?
A popular resort hotel has 300 rooms and is usually fully booked. About 6% of the time a reservation is canceled before the 6:00 p.m. deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use the binomial dist..
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