Suppose a certain canned good company has an average of at most 4% canned good weighing less than 490grams. Find the probability that in a random sample of 150 such packages the proportion weighing less than 490 grams is at least 3%. You may assume that the normal distribution applies

Suppose a certain canned good company has an average of at most 4% canned good weighing less than 490grams. Find the probability that in a random sample of 150 such packages the proportion weighing less than 490 grams is at least 3%. You may assume that the normal distribution applies

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

About 80% of all female heart transplant patients will survive for at least 3 years. Seventy female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 75%? Assume the sampling distribution of sample proportions is a normal distribution. The mean and the sample proportion is equlal to the population proportion and the standard deviation is equal to pq/n
Suppose that males between the ages of 40 and 49 eat on average 103.8 g of fat every day with a standard deviation of 4.02 g. The amount of fat a person eats is not normally distributed but it is relatively mound shaped. State the random variable. The amount of fat a male between the ages of 40 and 49 eats every day. The mean amount of fat males between the ages of 40 and 49 eats every day. The standard deviation of the amount of fat males between the ages of 40 and 49 eats every day. Find the probability that a sample mean amount of daily fat intake for 32 men age 40-59 is more than 100 g. Round to four decimal places. P(x > 100) = Find the probability that a sample mean amount of daily fat intake for 32 men age 40-59 in the U.S. is less than 94 g. Round to four decimal places. P(x < 94)= If you found a sample mean amount of daily fat intake for 32 men age 40-59 in the U.S. less than 94 g, what would you conclude? O If the sample mean for 32 men age 40-59 were less than 94 g, there is…
4. The delivery time for all food orders at a fast food restaurant have a mean of 6.7 minutes and a standard deviation of 2.1 minutes. a. Assume a normal distribution and compute the probability that an order is delivered in less than 6 minutes. prob = b. Find the probability that the mean of 40 orders is less than 6 minutes. prob = c. Find the probability that serving 40 orders takes less than a total of 4.5 hours. prob = %3D
According to insurance records, a car with a certain protection system will be recovered 94% of the time. If 300 stolen cars are randomly selected, would it be unusual for 280 stolen cars to be recovered? In other words, is 280 more than 2 standard deviations above the mean? Note: Since np(1 - p) > 10 then we can assume the data approximates a normal distribution.
The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .
Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with s.d.= 2.3% . A random sample of 12 Australian bank stocks has a sample mean of x=6.16% . For the entire Australian stock market, the mean dividend yield is 7.2%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 7.2%? Find (or estimate) the P-value. Round your answer to three decimal places.
A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: Low Temperature High Temperature 17.9 21.2 17.6 20.9 18.3 19.8 15.9 20.3 16.5 20.5 17.8 21.3 16.1 20.8 18.7 19.7 16.4 21.5 17.2 20.3 s = 0.9709 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances. b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances.
For a normal distribution curve with a mean of 15 and a standard deviation of 4, which range of the variable defines an area under the curve corresponding to a probability of approximately 95%?
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 8 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 7.8 or greater than 8.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains the same, with weights less than 7.8 or greater than 8.2 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1000 parts, how many defects would be found (to the nearest whole number)? c. What is the advantage of reducing process…
Suppose that the distribution of the grades of students in MAPEH performance 1 is roughly normally distributed with a mean of 85 and a standard deviation of 5 a. Between what values do we expect the grades of the middle 68% of the MAPEH students in performance 1 lie? b. Suppose you randomly select 16 MAPEH students, find the probability that the average grades of these students is at least 86. c. A MAPEH student whose grades lies in the upper 1% of the distribution (inclusive of the 1% cutoff) is considered extremely performing in Performance 1. Can you say that Jazzer, a randomly selected student who obtained a grade of 95, is one of those who performed extremely in Performance 1?
Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.