Please answer these questions Hypothesis Testing Examples: Determining the null
ID: 2928981 • Letter: P
Question
Please answer these questions
Hypothesis Testing Examples: Determining the null and a ternative hypotheses The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 103.5 psi. Past experience has indicated that the standard deviation of the breaking strength of this yarn is 2 psi. A random sample of 25 specimens is tested, and the average breaking strength is found to be 103.7 psi. Should the fiber be judged acceptable with = 0.05 based on this sample? 1. Remember your alternative hypothesis should contain what you are trying to prove or what you would like to happen. In this case, it must be at least 103.5 psi. Therefore your alternative hypothesis is: H1: >103.5 psi Making your null hypothesis: Ho: 103.5 psi 2. A post-mix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of 1.15 fluid ounces and a sample standard deviation of 0.18 fluid ounces. Do the data presented in this scenario support the claim that the mean amount of syrup dispensed is other than 1.00 fluid ounces? Test this claim using 0.01 Because this problem is asking if the value is other than 1.00 it represents the two sided hypothesis test case. We know that two sided hypothesis testing always looks as follows, where the equal sign is in the null hypothesis Ho: =1.00 oz H1 : * 1.00 oz 3. The Goldfish Cracker Company has a standard that the weight of each bag must be at most 12.5 oz. A sample of 50 bags were taken and the average weight of the bags were 12.4 oz. Does this information support the standard that has been set? Similar to the first example. Remember the alternative hypothesis is what we would like to prove true. In this case, we know that AT MOST it must be 12.5 oz. Therefore our alternative hypothesis is: H1:Explanation / Answer
1.
Given
to test the claim mean breaking strength is at least 103.5psl
as we know that Ho is hypothesis is Hypothesis of no difference while H1 is Hypothesis apposite to H0
Hence In our case
H0:mean<103.5
H1: mean >103.5
2.
In this question there is given claim that mean amount of syrup is dispensed is not equal to 1 fluid ounces
so H0: hypothesis of no difference i.e mean =1
while
H1: mean not equl to 1 (Apposite of Ho)
3.
given
Claim that mean weight of bag is at most 12.5 oz so
H0: hypothesis of no difference i.e. mean <12.5
H1: mean >12.5 (apposite of H0)