help with this hypothesis testing procedure?
help with this hypothesis testing procedure? A manufacturing firm needs to test the null hypothesis Ho...
For a given population with o = 10.5 lb. we want to test the null hypothesis j = 66.5 against the alternative hypothesis u # 66.5 on the basis of a random sample of size n = 64. If the null hypothesis is rejected when x < 64.6 lb. or å > 68.8. a) (3 points) What is the probability of a type l error? b) (4 points) What is the probability of a type II error and the power...
According to Hypothesis Testing Procedure, to test a hypothesis (H1) one needs to first state the corresponding null hypothesis (H0) to later see if they should reject or fail to reject the null hypothesis. True or False
5 In a hypothesis test for a proportion, the null hypothesis is HO: p = 0.7 and the alternative hypothesis is H1: P = 0.7 with a = 0.05. Then we reject HO if the test statistic Z is 15 (5 Points) between -1.64 and 1.64 and cannot reject H0 otherwise greater than 1.64 or less than-1.64 and cannot reject H0 otherwise between -1.96 and 1.96 and cannot reject HO otherwise greater than 1.96 or less than-1.96 and cannot reject...
For a given population with σ=10.5 lb. we want to test the null hypothesis μ=66.5 against the alternative hypothesis μ ≠66.5 on the basis of a random sample of size n=64. If the null hypothesis is rejected when x¯<64.6 lb. or x¯>68.8. a) (3 points) What is the probability of a type I error? b) (4 points) What is the probability of a type II error and the power of the test when in reality μ=67.0?
2. A single observation is to be used to test the null hypothesis that the mean waiting time between tremors recorded at a seismological station (the mean of an exponential population) is θ-10 hours against the alternative that θ 10 hours. If the null hypothesis is to be rejected if and only if the observed value is less than 8 or greater than 12, find (a) the probability of type I error; (b) the probabilities of type II errors when...
Suppose that we wish to test the null hypothesis Ho that the proportion p of ledger sheets with errors is equal to .05 versus the alternative Ha , that the proportion is larger than .05, by using the following scheme. Two ledger sheets are selected at random. If both are error free, we reject Ho. If one or more contains an error, we look at a third sheet. If the third sheet is error free, we reject Ho. In all...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
07 (15) Suppose that we wish to test the null hypothesis Ho that the proportion p of ledger sheets with errors is equal to .05 versus the alternative Ha , that the proportion is larger than .05, by using the following scheme. Two ledger sheets are selected at random. If both are error free, we reject Ho. If one or more contains an error, we look at a third sheet. If the third sheet is error free, we reject Ho....
gore the lecture in your streann r 10 minutes. Random variable X follows Poisson umber of calls torecepti,:2-A, against alternative H: λ > , the following Let X' is a of against a distribution with mean A. To test null hypothesis Ho decision rule is used: Null hypothesis is rejected if x, +x,+х,2c.(X,X,X,is a Let 4, 0.2 and c 2 (a) Find the significance level of the test. (b) Find the probability of type II error if the alternative is...
suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of freedom for your t test. Answer the following questions: a) If test statistics t-2.25 5, use the rejection region to decide if Ho be rejected or not at a .0.05? Include a sketch, clearly label critical value(s) and rejection and nonrejection regions. b) If test statistics was t-1.14, use a 0.05, compute the p-value and decide if Ho b rejected or not...