Statistics

If it is claimed that the contents of soaps boxes sold weigh on average at least 20 ounces.

The distribution of weight is known to be normal;

We assume \sigma = 0.5σ=0.5 is known

n=30
sample mean weight = 18.5 ounces.

Test at the 10% significance level (\alpha = .10)(α=.10) the null hypothesis that the population mean weight is at least 20 ounces.

  1. 👍 0
  2. 👎 0
  3. 👁 599
  1. 90% = mean ± 1.645 SEm

    SEm = SD/√n

    Insert the values and calculate.

    1. 👍 0
    2. 👎 0
  2. Forget the above. I goofed. Try this.

    Z = (mean1 - mean2)/standard error (SE) of difference between means

    SEdiff = √(SEmean1^2 + SEmean2^2)

    SEm = SD/√n

    If only one SD is provided, you can use just that to determine SEdiff.

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this

  2. math

    a shopkeeper sold a total of 15 boxes of pencils on monday and tuesday. he sold 3 more boxes on monday than on tuesday. there were 12 pencils in each box. how many pencils did he sell on monday?

  3. Math

    If 7 1/4 boxes of parts weigh a total of 68 7/8 pounds, what does one box of parts weigh?

  4. math

    A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends $40,000 on advertising

  1. math

    You're planning on making 4 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? •How much breadcrumbs does the recipe call for? It calls

  2. singapore moth

    Place the following digits in the boxes so that the sum of the digits in each straight line is the same. This is like a crossword 3 boxes across and 3 boxes down then 3 boxes across and 3 boxes down using digits 1,2,3,4,5,6,7,8,9.

  3. Science

    A student is assigned the task of measuring the mass of one tennis ball using a scale for which the zero adjustment on the balance is not working. The student is given three balls and the can in which they were packaged. Which of

  4. Math

    A Shopkeeper sold a total of 15 boxes of pencils on Monday and Tuesday. He sold 3 more boxes on Monday than on Tuesday. There were 12 pencils in each box. How many pencils did he sell on Monday?

  1. Statistics/Probability

    A certain brand of candies have a mean weigh of 0.8576 g and a standard deviation of 0.0523. A sample of these candies came from a package containing 447 candies,and the package label stated the net weight is 381.3 g. (If every

  2. chemistry

    An empty beaker weighs 39.17 g. a) When completely filled with water, the beaker and its contents have a total mass of 406.25 g. What volume does the beaker hold? Use d =1.00 g/mL as the density of water. for A i got 367.08 but I

  3. Algebra 1

    A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did

  4. statistics

    a manufacturer of detergent claims that the contents of the boxes in the market weigh on average at least 16 oz.. the distribution of weights is known to be normal with a standard deviation of 0.4 oz. to test the claim of the

You can view more similar questions or ask a new question.