A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 10 % green, 30% yellow, 30 % red, and 30 % orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 590 1765 1717 1615 Copy Data Step 2 of 4: Calculate the expected value for the number of vitamins that are orange. Round your answer to three decimal places, if necessary.

A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 10 % green, 30% yellow, 30 % red, and 30 % orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 590 1765 1717 1615 Copy Data Step 2 of 4: Calculate the expected value for the number of vitamins that are orange. Round your answer to three decimal places, if necessary.

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

A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.
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%o 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(p N 0.0125), 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.
Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? An article reported on an investigation of this issue for various consumer products. Suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.53, 0.64, 0.41, 0.5, 0.35. Does it appear that the true average amount left is less than 10% of the advertised net contents?Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)t= P-value =
Four laboratories are being used to perform chemical analyses. Samples of the same are sent to the laboratories for analysis as part of the study to determine whether or not they give, on the average, the same results. The analytical results for the 4 laboratories are as follows: use alpha = 0.01 ... A B 58 62 55 60 61 64 54 60 60 63 56 60 58 57 53 61 58 60 58 62 ANOVA TABLE: Fill in the missing values. (round off to two decimal places, #,###.##) Source of Sum of Squares df Mean Square Computed f f-Critical Variation Between Groups Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Within Groups Blank 6 Blank 7 Blank 8 Total Blank 9 Blank 10 Choose below the appropriate decision Blank 11 a The four laboratories give the same result b The four labaratories are not producing the same results. c Labs A and B are giving the same results. d none of the above
Calculate the infant mortality rate (per 1000): Use the data in the table below to calculate the following vital statistics. Vital statistics Total midyear population Number of live births 4250 Total deaths (all causes) Deaths in infants under 1 year of age Deaths due to cancer 100 O 0.1 10 01 0.01 5,000,000 5000 In a clinical trial of 734 subjects treated with medicine A, 29 reported headaches. In a control group of 735 subjects not treated with medicine A, 117 reported headaches. The Number Needed to Treat is equal to: [ 02 09 06 3
The total size of a university is 7,610. Determine the sample size for a study using the COchran's formula provided that Z = 1.96 and e = 0.05
Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? An article reported on an investigation of this issue for various consumer products. Suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.51, 0.63, 0.42, 0.5, 0.35. Does it appear that the true average amount left is less than 10% of the advertised net contents? USE SALT (a) Check the validity of any assumptions necessary for testing the appropriate hypotheses. O The sample was randomly selected and the normal probability plot is not acceptably nonlinear. The sample was selected to represent a range of results and the normal probability plot is not acceptably nonlinear. The sample was selected to represent a range of results and the normal probability plot is not acceptably linear. O…
During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 94 homes, CBS 71 homes, NBC 88 homes, and independents 47 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17. Ha: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 Ha: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND * 0.17 O Ho: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND = 0.26, PIND Ha: PABC 0.30, PCBS = 0.27, PNBC = # 0.17 = = 0.17 = 0.26, PIND O Ho: PABC = 0.30, PCBS = 0.27, PNBC 0.30, PCBS = Ha: : The proportions are not PABC Find the value of the test statistic. (Round your…
In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person, that would be inhaled while traveling on the bus during its usual 18-mile trip on congested freeways from South Central LA to a magnet school in West LA. Here are the amounts for the nine buses when driven with the windows open. 1.17 0.33 0.40 0.33 1.32 0.38 0.25 0.40 0.35 (a) Consider making a stemplot. Are there outliers or strong skewness that would preclude use of the t procedures? Which is correct? A. The sample is small and the stemplot is right skewed with possible outliers, so use of t procedures is not appropriate. b. The distribution is symmetric so use of t procedures is appropriate. c. The sample is small and the stemplot is left skewed with possible outliers, so use of t procedures is…
During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. Ho: PABC + 0.31, PCBS H = 0.31, PCBS a: PABC O Ho: The proportions are not PABC H₂: PABC = 0.31, PCBS O Ho: PABC 0.31, PCBS + 0.26, PNBC = 0.26, PNBC + 0.27, PIND = 0.27, PIND Need Help? Read It = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16. = 0.16 = 0.27, PIND = 0.27, PIND = 0.16 = 0.26, PNBC = 0.26, PNBC H: The proportions are not PABC Ho: PABC = 0.31, PCBS = 0.26, PNBC + 0.31, PCBS = 0.27, PIND = 0.16 + 0.26, PNBC * 0.27, PIND * 0.16 Ha: PABC Find the value of the test statistic. (Round your answer to…
A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20 % green, 30 % yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Number Children's Vitamins Green 906 I Yellow 1321 Porange Red 1306 Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho:P green = - Pyellow = _Pred = Ha: There is a difference from the stated proportions. Orange 778
What are the missing values for Between and Within treatment, in terms of DF, MS and F?