18. Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing decisions. Suppose a marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. Which distribution should you use for this problem? (Round your answers to two decimal places.) p' ~ ____ (_____ , ____)

18. Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing decisions. Suppose a marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. Which distribution should you use for this problem? (Round your answers to two decimal places.) p' ~ __ (_ , __)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CT

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The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. b)Find the standard deviation of p. c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
A patient is classified as having gestational diabetes if her glucose level is above 155 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with �=140 mg/dl and �=12 mg/dl. Suppose Sheila repeats this process on three separate randomly selected days. What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Use 2 decimal places.
An organization believes that the thought of adults ages 55 and over on which industry has the most trustworthy advertising is uniformly distributed. To test this claim, you randomly select 800 adults age 55 and over and ask each which industry has the most trustworthy advertising. The results are shown in the table. At a= 0.05, can you reject the claim that the distribution is uniform (i.e., that each frequency should be the same- in this case, 160, since there are 800 total adults sampled)? Explain. Response Frequency, f Auto Companies 128 Fast food Companies 192 Financial Service Companies 112 Pharmaceutical Companies 152 Soft Drink Companies 216
A study conducted at Virginia Commonwealth University in Richmond indicates that many older individuals can shed insomnia through psychological training. A total of 5252 insomnia sufferers averaging age 6767 years old completed eight weekly sessions of cognitive-behavior therapy. After the therapy, 2121 participants enjoyed a substantially better night’s sleep. Calculate the sample proportion of insomnia sufferers who did not enjoy a better night’s sleep after the therapy. Round your answer to three decimal places, if necessary.
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.015 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making a random selection.The measurement values are presented in the "Product weight of the current state (g)" column in the attached document. After a while, a pressing machine with a newer technology was replaced with a press machine where product losses were frequently experienced in the packaging line. And the products with the same features were weighed after being processed in this new pressing machine. The product weights obtained after the use of the new pressing machine are presented in the column "Product weight after using a new machine (g)". In line with these given, answer the following question using the observation numbers. 1) Using the data set in the column "Product weight of the current state (g)" test whether the average weight of the products…
Now suppose that the manufacturing company specializing in semiconductor chips follows a Poisson distribution with an average output of 10,000 chips per day. Approximate the expected number of days in a year that the company produces more than 10,200 chips in one day. It is requested that:to. State the solution with the original formula of the distribution, explaining why you consider that distribution to be and explaining in detail what I did (do not solve the equation)b. Solve the exercise by performing the respective normal approximation, explaining step by step how and why you do it
Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male? What is the probability that 7 or more were female?What is the probability that fewer than 4 were female?(b) For the period from 1918 to the present, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?What is the probability that 7 or more were female?What is the probability that fewer than 4 were female?
Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)
Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? What is the probability that 9 or more were female? What is the probability that fewer than 6 were female? For the period from 1918 to the present, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? What is the probability that 9 or more were female? What is the probability that fewer than 6 were female?
Before 1918, approximately 55% of the wolves in the New Mexico and Arizona region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?What is the probability that 8 or more were female?What is the probability that fewer than 5 were female?(b) For the period from 1918 to the present, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?What is the probability that 8 or more were female?What is the probability that fewer than 5 were female?