statistics

posted by .

Suppose a manufacturer claims that each family-size bag of pretzels sold weighs 12 ounces on average with a standard deviation of 0.8 ounces. A consumer's group decides to test this claim. If a simple random sample of 49 bags of pretzels gives a sample mean of 11.8 ounces, is this significant evidence that the actual weight of a bag of pretzels is different from the manufacturer's claim?
(a) State the hypothesis.
(b) Describe and draw the corresponding sampling distribution.

  • statistics -

    I'll get you started.

    Hypotheses:

    Ho: µ = 12 --> this is the null hypothesis

    Ha: µ ≠ 12 ---> this is the alternate or alternative hypothesis

    Note:
    Null hypothesis always uses an equals sign. The alternate or alternative hypothesis in this case uses a "does not equal" sign because the problem is just asking if there is a difference. There is no specific direction mentioned (such as "greater than" or "less than" or similar statements).

    I'll let you take it from here.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Statistics

    Assume that the cure rate for a certain drug is 20% and that 15 patients are tested with this drug. Find the following: a) Mean b) Standard Deviation c) P (exactly 4 cures) d) P (exactly 4 cures) A snack company distributes chips in …
  2. Finance

    1) A potato chip manufacturer has been accused of shortchanging their customers with their 10-ounce bags of potato chips. A sample of 50 of that company’s 10-ounce bags was taken, and it was found that the average weight was 9.8 …
  3. math

    a potato chip manufacturer has been accused of shortchanging their customers with 10 ouce of bags potato chips. a sample of 50 of that company's 10 ounce bags was take, and it was found that the average weight was 9.8 ounces with a …
  4. please check see if im correct

    A cereal manufacturer claims to include 18.7 ounces of cereal in each box, with a standard deviation of 0.2 ounces. A random sample of 25 boxes shows an average of 18.5 ounces. Which of the following statements is correct?
  5. statistics

    Please read and use the following information to answer questions 11, 12, and 13: Big packages of M&M Plain Candies have a mean weight of 16 ounces with a standard deviation of .15 ounces. A chocolate loving researcher decides to a …
  6. Math/ Statistics

    A consumer advocacy group claims that the mean amount of juice in a 16 ounce bottled drink is not 16 ounces, as stated by the bottler. Determine the null and alternative hypotheses for the test described. A. H0: µ = 16 ounces Ha: …
  7. statistics

    A consumer advocacy group claims that the mean amount of juice in a 16 ounce bottled drink is not 16 ounces, as stated by the bottler. Determine the conclusion of the hypothesis test assuming that the results of the sampling lead to …
  8. stats

    Buckley Farms produces homemade potato chips that it sells in bags labeled 16 ounces. The total weight of each bag follows an approximately normal distribution with a mean of 16.15 ounces and a standard deviation of 0.12 ounces. a)If …
  9. Statistics and Probability

    A machine is designed to fill jars with 16 ounces of coffee. A consumer suspects that the machine is not filling the jars completely. A sample of 8 jars has a mean of 15.6 ounces and a standard deviation of 0.3 ounces. Is there enough …
  10. Math

    A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.2 ounces. A consumer advocacy group wants to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample …

More Similar Questions