The ice cream parlor has been offered shelf space at a local grocery store. The owner decides he will package 6-ounce tubs of ice cream. As the ice cream machine is filling tubs, the monitoring system reveals the actual amount of ice cream the machine puts into the 6-ounce tubs is a random variable having a normal distribution with o = 0.05 ounces. If only 3% of the tubs are to contain less than 6 ounces of ice cream, what must be the

The ice cream parlor has been offered shelf space at a local grocery store. The owner decides he will package 6-ounce tubs of ice cream. As the ice cream machine is filling tubs, the monitoring system reveals the actual amount of ice cream the machine puts into the 6-ounce tubs is a random variable having a normal distribution with o = 0.05 ounces. If only 3% of the tubs are to contain less than 6 ounces of ice cream, what must be the

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Billy’s Bakery bakes fresh bagels each morning. The daily demand for bagels is a random variable with a distribution estimated from prior experience given by The bagels cost Billy’s 8 cents to make, and they are sold for 35 cents each.Bagels unsold at the end of the day are purchased by a nearby charity soup kitchen for 3 cents each.a. Based on the given discrete distribution, how many bagels should Billy’s bake at the start of each day? (Your answer should be a multiple of 5.)b. If you were to approximate the discrete distribution with a normal distribution, would you expect the resulting solution to be close to the answer that you obtained in part (a)? Why or why not?c. Determine the optimal number of bagels to bake each day using a normal approximation. (Hint: You must compute the mean μ and the variance σ2 of the demand from the given discrete distribution.)
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
The average speeds of cars on a highway are distributed according to a normal distribution. Today, John is on his way to work. As he enters the highway, he notices a car speeding by at 150 km/hr. Ten seconds later, another car speeds by at 160 km/hr. John concludes that today, cars must be going faster for some reason. A few minutes later, John gets into a minor accident. Once again, he concludes that it was inevitable - he got into the accident because cars were driving faster today. Explain what fallacies - if any-are involved in both of John's claims. Is John justified in his conclusions?
The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 358, 388, 362, 382, 371, 385, 384, 393, 403, 389, 405 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho? Select an answer♥ H₁ PS Select an answer c. The test statistic ? (please show your answer to 3 decimal
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
The percent defective from an incoming lot is 3%.An OC curve showed the probability of acceptance to be 0.55.Given a lot size of 2,000 and a sample of 100, determine theaverage outgoing quality in percent defective
The one-sample chi-square focuses on the distribution of two variables.
please answer within 30 minutes.
To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solves math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
The average spent nationally on Christmas gifts in 2020 was reported to be $650 per person. Below is a random sample of gift givers from Iowa and what they spent in 2020. Is there sufficient evidence to conclude that Iowans spend less than the national average? Estimate the average amount spent by Iowans on Christmas gifts in 2020 with a 90%-CI. 700 450 400 525 550 550 600 575 650 625 500