Is there any inconsistency in the statement "the Mean of a binomial distribution is 40 and its S.D. is 4 " If no inconsistency is found, what shall be the values of 7. g and n ?
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- 42)3. Let Y,,. , Y, be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?1. For each claim below, write: (1) claim in mathematical form; (2) Null hypothesis (Ho); (3) alternative hypothesis (Hp); (4) what tailed test. Use notations MuMz (for mean), PuP2 (for proportion), 01,02 (for standard deviation), Mo (for differences in means for dependenr (i.e., matched pair) samples) (a) Claim: California HS students on an average score lower in the SAT than Massachusetts HS students (1 = California, 2 = Massachuselts) (b) Claim: The proportion of smokers in Texas is the same as that in Oklahoma (1 = Texas, 2 = Oklahoma) (c) Claim: The standard deviation of weights in 8 oz Coke cans is at least as high as that in Pepsi cans (1 - Coke, 2 - Pepsi) (d) Claim: Ethiopian track athletes are, on an average, faster long-distance runners than the USA track athletes (1 - Ethiopia, 2 - USA) (e) Claim: The cholesterol level before taking Lipitor is, on an average, higher than that after taking the drug (I - Before drug, 2 - Aller drug)
- Q6. If the test statistic for a left-tailed test is z = –1.72, then P-value is 0.9518.a. Trueb. False13. A distribution consists of three components with frequencies of 200, 250 and 300, having méans 25, 10 and 16 and standard deviations 3, 4 and 5 respectively. Show that the mean of the combined distribution is 16 and S.D. 7-2 approximately.1.) Suppose that a teacher wants to see if a new teaching method improves test scores in their class. Luckily, they also know that the average score of all students in the United States in that grade is 85 and the sd is 10. Given that their class of 25 students’ (the sample) Mean score is 90... What is the standard error? 1 2 1.5 2.5 ----------------------------------------- 2.) Calculate the standardized effect size for question 1. What can you say about this effect size? It is a small effect size It is a moderate effect size It is a large effect size Cannot calculate the standardized effect size with the information given. ------------------------------------------------------------------------------------- 3.) Students have taken an exam. The mean was 70 and the standard deviation was 2. A student who scored 72, scored better than: 84% 30% 20% 99%…
- 10. In a survey carried out it is found that 25% of the students in Uni Razak have Ducati monster 795. a. If 10 students are chosen at random find the probability that half of them have Ducati monster 795 b. If there are 3 000 students find the mean and standard deviation of students whom have Ducati monster 7958. A population has a mean of 30 and a standarddeviation of 5.a. If 5 points were added to every score in thepopulation, what would be the new values for themean and standard deviation?b. If every score in the population were multiplied by3 what would be the new values for the mean andstandard deviation?21. Assume a binomial probability distribution has = 0.60 and n = 200 a. What is the mean and standard deviation? b. Is this a situation in which binomial probabilities can be approximated by the normal probability distribution? Explain. c. What is the probability of 100 to 110 successes? d. What is the probability of 130 or more successes? e. What is the advantage of using the normal probability distribution to approximate the binomial probabilities? Use part (d) to explain the advantage.