dice (a) what of is possible pair of the tota outcomes
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- In a two-tailed test of hypothesis, the sign in the alternative hypothesis is: not equal to b. greater than c. less than d. equal toIdentify the null and alternative hypotheses: H0: σ, p, or μ | >, =, ≠, or < ___________ H1: σ, p, or μ | >, =, ≠, or < ____________A statistician has to decide on the basis of two obser-vations whether the parameter θ of a binomial distribu-tion is 1 4 or 12 ; his loss (a penalty that is deducted from hisfee) is $160 if he is wrong.(a) Construct a table showing the four possible values ofthe loss function. (b) List the eight possible decision functions and con-struct a table showing all the values of the corresponding risk function.(c) Show that three of the decision functions are notadmissible.(d) Find the decision function that is best according to theminimax criterion.(e) Find the decision function that is best according to theBayes criterion if the probabilities assigned to θ = 14 and θ = 12 are, respectively, 23 and 13 .
- It has been found that 2 out of every 10 people who visit a local store purchasemilk. If we randomly select a sample of 13 visitors to the store, what is theprobability that:Q.2.2.2 More than three of the visitors will purchase milk? Interpret youranswer.A teacher is comparing the mena study time of his freshmen and senior students. He believes that his senior students spend more time studyin per week than his freshmen studnet and decides to perform a hypothesis test on his belief. a. Suppose the decision of the hypothesis test is to reject the null hypothesis. If, in realiry, treshmen study for a mean of 10 hours per week and seniors study for a mena of 15 hours per week, was an error made? if so, what type? b. Suppose the decision of the hypothesis test is to fail to reject the null hypothesis. if, in realiry, freshmen study for a mena of 15 hours per seek and seniors study for a mean of 15 hours per week, was an error made? is so, what type?If the null and alternative hypotheses areH0:μ=23H1:μ>23Then the test is left-tailed right-tailed two-tailed
- A television executive believes that at least 99% of households in the US have at least one television. An intern at the executive's company is given the task of using a hypothesis test to determine whether the percentage is actually less than 99%. The intern decides to fail to reject the null hypothesis. If, in realiry, 96.7% of house holds own a television set, was an error made? if so, what type.It has been found that 2 out of every 10 people who visit a local store purchasejuice. If we randomly select a sample of 13 visitors to the store, what is theprobability that: No more than two of the visitors will purchase juice? Interpret youranswer.In a specific population of adult migraine sufferers in the US, the average number of migraines per month is 9. An acupuncturist claims that her treatment can reduce this figure significantly. On your own scrap paper, explore the possible errors with a Type 1/2 error chart, making note of the meaning of each possibility. Decision H0H0 is Actually True False Reject H0H0 and Accept HaHa Fail to Reject H0H0 Select the Null and Alternative Hypotheses to the scenario using the correct symbols. H0H0: μ<9μ<9HaHa: μ=9μ=9 H0H0: μ>9μ>9HaHa: μ=9μ=9 H0H0: μ=9μ=9HaHa: μ>9μ>9 H0H0: μ=9μ=9HaHa: μ<9μ<9 Explain what a type 1 error is in this scenario. A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it can. A type 1 error would be concluding that the migraine treatment can reduce occurence of frequent migraines when in fact, it cannot. A type 1 error would be concluding…
- A research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. No more than nothing% of adults in the country would travel into space on a commercial flight if they could afford it. B. nothing% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not nothing%. D. At least nothing% of…It has been found that 2 out of every 10 people who visit a local store purchasemilk. If we randomly select a sample of 13 visitors to the store, what is theprobability that:Q.2.2.1 No more than two of the visitors will purchase milk? Interpret youranswer.It is known that about 20% of all undergraduate students have experienced math anxiety. Arandom sample of 8 undergraduate students is selected from a big university. Find theprobability that:a) exactly 3 of those 8 students have experienced math anxiety. b) at least 2 students have experienced math anxiety.