Preview

Math300

Good Essays
Open Document
Open Document
524 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Math300
Total: 446.1/ 30 = 14.87
Mean: (Avg) 14.87
Median: (14.87 + 14.87) / 2 = 14.8
Standard Deviation: 0.55033

Construct a 95% Confidence Interval for the ounces in the bottles.
With a mean score of 14.87, a standard deviation of 0.55033, and a desired confidence level of 95%, the corresponding confidence interval is + 0.2. There is a 95% certainty that the true population mean falls within the range of 14.67 to 15.07.

Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.

There is a complaint that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. In order to verify if the claim that a bottle contains less than sixteen (16) ounces is supported, the employees will pull thirty bottles off the line at random from all the shifts at the bottling plant. Employees are required to measure the amount of soda there is in each bottle.
Alternative hypothesis: the bottles of the brand of soda produced contain less than the advertised sixteen (16) ounces of product
Null hypothesis: the bottles of the brand of soda produced do not contain less than the advertised sixteen (16) ounces of product.
95% Confidence Interval = (14.67,15.07)

In this project we were given the case of customer complaints that the bottles of the brand of soda produced in our company contained less than the advertised sixteen ounces of product. Our boss wants us to solve the problem at hand and has asked me to investigate. I have asked my employees to pull Thirty (30) bottles off the line at random from all the shifts at the bottling plant. The first step in solving this problem is to calculate the mean (x bar), the median (mu), and the standard deviation (s) of the sample. All of those calculations were easily computed in excel. The mean was computed by entering: =average, the

You May Also Find These Documents Helpful

  • Good Essays

    The testing that we have done to evaluate the amount of water in our bottles has determined that our customers are right there are less than sixteen ounces of water in our bottles and changes will be made to make sure that we are marketing our product…

    • 768 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    MATH533 Project B

    • 921 Words
    • 6 Pages

    Null Hypothesis: The true population proportion of customers who live in an urban area is less than or equal to 40%. H₀: p ≤ 0.40…

    • 921 Words
    • 6 Pages
    Satisfactory Essays
  • Good Essays

    Feat of Strength #6

    • 1264 Words
    • 6 Pages

    The Drole Pineapple Company claims that the mean weight of its pineapples harvest last year is greater than 35 ounces, and not in fact the 31 ounces it was recorded to be. To test its claim, we will select a single pineapple at random from last year’s crop and determine the approximate probability that it weighs more than 35 ounces. The population of interest is the pineapples harvested from last year’s crop, and we want to test a claim about the mean weight µ for these pineapples. The null hypothesis is that the mean weight of pineapples Drole harvested last year is 31 ounces (µ = 31), and the alternative hypothesis is that the mean weight is greater than 35 ounces (µ > 35). In other words, we are trying to see whether there is enough evidence to prove that the mean weight is in fact 35 ounces and reject the old claim that it was 31 ounces. However, before constructing any confidence interval about an…

    • 1264 Words
    • 6 Pages
    Good Essays
  • Good Essays

    Aj Davis Project Part B

    • 748 Words
    • 3 Pages

    Base on the data collected in the previous samples, the manager has made an alternative hypothesis on the following:…

    • 748 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Math 300 Week 3

    • 785 Words
    • 4 Pages

    In this bottle case study the null hypothesis is there are sixteen ounces in each bottle. The alternate hypothesis is there are not sixteen ounces in each bottle. In order to understand the outcome of the test of hypothesis we must analyze the data set and our projections in the previous to answer them. Analyzing the data from above, we have a mean of 15.2 and a standard deviation of 0.73. Adding one standard deviation to the mean, we still do not get to sixteen ounces, which compute to be 15.93 ounces. Clearly from the calculation that the null hypothesis is incorrect and has been disproven, meaning that the alternate hypothesis is in fact the correct…

    • 785 Words
    • 4 Pages
    Better Essays
  • Better Essays

    Int1 Task 3

    • 1846 Words
    • 8 Pages

    According to a study on which brands of popcorn yields the most popcorn by Sean Boyd (2010) “The Jolly Time popcorn had the lowest amount of un-popped kernels”. But another researcher Ben Popken (2008) Which popcorn pops the most, said, “ACTII was the winner.” Since there are many experiments with different results of the most popped kernels we will chose just one name brand at the local store and keep the brand name constant for this experiment. The name brand of popcorn is not the independent variable so we will use a random store bought popcorn for this experiment. Both of these experiments are similar to each other. They are testing the hypothesis on which brand name produces the least amount of un-popped kernels. In this current…

    • 1846 Words
    • 8 Pages
    Better Essays
  • Satisfactory Essays

    Bio 111

    • 285 Words
    • 2 Pages

    5) Hypothesis statement for the Smoking vs. Age example: If the percentage of people who smoke cigarettes decreases with age, then there will be a marked decrease over the passage of time of cigarette…

    • 285 Words
    • 2 Pages
    Satisfactory Essays
  • Better Essays

    Skittles Project

    • 1058 Words
    • 5 Pages

    The calculations determined that in both cases the claims are rejected. In the case of the claim that 20% of skittles are red, the class proportion of 20.4% red skittles and is found to be unlikely to be correct and therefore is rejected because the calculated p-value is less than the significance level. Also, the claim that the mean number of skittles per bag is 55 is tested against the class mean of 59.98. This is also determined to be unlikely correct and is rejected as well because the calculated test statistic falls within the critical…

    • 1058 Words
    • 5 Pages
    Better Essays
  • Satisfactory Essays

    Deeww

    • 1510 Words
    • 7 Pages

    A food company discovered a formula for children’s orange juice that contains water, sugar, Vitamin C, and artificial coloring. It is much less expensive to produce than pure orange juice and its use will help the company to be more competitive in the marketplace. The president of the company refused to market the product unless it contained at least 10 percent pure orange juice. The real juice was added and the product marketed under the name Purity Orange Juice. It was a great success and sales were even better than…

    • 1510 Words
    • 7 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Case Study Corrected

    • 385 Words
    • 5 Pages

    From the table and observing the values the standard sample deviations of each sample fell in the range of {0.20, 0.22}. 0.21 fell in the observed range and therefore the assumption of population’s standard deviation as 0.21 is reasonable/good.…

    • 385 Words
    • 5 Pages
    Satisfactory Essays
  • Better Essays

    Data Analysis Assignment

    • 2407 Words
    • 10 Pages

    The null hypothesis is the statement being tested (pg 349). In this scenario, it can be defined as a household income of less than or equal to $119,155 for the average Playbill reader. Mathematically, this can be represented as H0: μ ≤ $119,155. This hypothesis holds that if the new annual average household income is found to be equal to or less than the 2010 value of $119,155, the price of the magazine should not be increased (H0 should not be rejected).…

    • 2407 Words
    • 10 Pages
    Better Essays
  • Better Essays

    Final essay

    • 1951 Words
    • 9 Pages

    The results provide sufficient evidence to support the alternative hypothesis. Reserachers assume that their alternative hypothesis, shot is more effective than the nasal spray. Based on the sample proportion, shot is resulted in being more effective than the nasal spray. This also leaves a result it them being vice versa too. The results do not provide enough evidence to support alternative hypothesis because in other alternative calculation remains the same and it gives the same z with p value.…

    • 1951 Words
    • 9 Pages
    Better Essays
  • Satisfactory Essays

    Health Care

    • 279 Words
    • 2 Pages

    A healthcare facility is trying to determine whether or not to serve coffee in the waiting rooms for their patients. Since many similar facilities do serve coffee, tea, and water, they want to determine if there is sufficient evidence to show that coffee increases their heart rate. 15 patients in the waiting room one day are tested to see if their heart rate increases. The healthcare facility would like supporting data from national studies that support the results of their study.…

    • 279 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Confidence Interval

    • 599 Words
    • 3 Pages

    A z table can be used to determine that the z for a 95% confidence interval is 1.96. The limits of the confidence interval are therefore:…

    • 599 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    We have and average of 50 pound from older shipment, this is the correct weight that the bags should have so, X=50, also we have a standard deviation of 1.2 which is also the desired level, so o=1.2, for the determination of the bags we need to resolve this formula [pic] 0.489 and a 99.73% confidence interval Z = 3:…

    • 501 Words
    • 2 Pages
    Satisfactory Essays