A company produces a range of snack foods, including cakes. The cakes are produced so that the weight of each cake is normally distributed with a mean of 10g and a standard deviation of 0.3g. The cakes are then packaged in groups of 12, with an advertised net weight of 115g. provide workings. i) Find the weight that 95% of cakes will exceed

A company produces a range of snack foods, including cakes. The cakes are produced so that the weight of each cake is normally distributed with a mean of 10g and a standard deviation of 0.3g. The cakes are then packaged in groups of 12, with an advertised net weight of 115g. provide workings. i) Find the weight that 95% of cakes will exceed

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

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station January April USE SALT Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. (Let d = January - April.) (a) What is the level of significance? 1 2 3 4 5 137 120 126 64 78 104 115 102 88 61 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: My = 0₁ H₁: 0; two-tailed O Hoi Hd O1 H₁: M O Hot Hd = 0; H₁: O Hot Hd = 0; H₁² = 0; right-tailed 0; right-tailed (b) What sampling…
The percentage of all observations in a data set that lies between the 30th percentile and the third quartile: a. Ocannot be determined without additional information b. Oequals 45 c. Oequals 85 d. Oequals 30 e. Oequals 75
A variable is normally distributed with mean 17 and standard deviation 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 16. b) Find the area to the left of 13. c) Find the area to the right of 15. d) Find the area to the right of 19. e) Find the area between 13 and 28.
Let the height data (105)represent sample. Use an appropriate statistical test to check whether the population mean is different from 170 cm.Use α = 0.05.Also, write a substantive conclusion and explanation. Use an appropriate graph to check if data is normally distributed. Do it in R commander.
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…
A variable is normally distributed with mean 15 and standard deviation 3. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 14. b) Find the area to the left of 12. c) Find the area to the right of 13. d) Find the area to the right of 16. e) Find the area between 12 and 25. Question Help: D Post to forum Calculator Submit Question
9a. For binomially distributed data set, approximately what proportion would be below the mean and also within one standard deviation? 16.5%,25%,33%,50%,66%
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information. Stratum Flaked Stone Tools Nonflaked Stone Tools 1 10 2 2 10 3 3 9 2 4 1 3 5 4 7 6 38 32 7 51 30 8 25 12 What is the value of the sample test statistic? (Round your answer to three decimal places.)
Use the information provided to find the minimum sample size required to estimate an unknown parameter Mean(u). How many students should be randomly selected to estimate the average weekly earnings of students at a university? We want 80% confidence that the sample mean is within $ 3 of the population mean and the population standard deviation is known to be $ 57. Select one: a. 978 b. 362 c. 1388 d. 594 e. 2397