A random variableXis binomially distributed with mean 4 and standard deviation /2.4. Find the probabilit that more than half the trials are successes.
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- What is the mean for a normally-distributed binomial distribution with q = 0.4 and 100 trials. \The time to occurrence of coronary artery disease in Iowa is heavily right skewed with a mean of 45 and standard deviation of 16. A random cohort of 64 Iowans has been selected and followed till the occurrence of coronary artery disease. What is the approximate probability that the sample mean time that coronary artery disease occurs is beyond 47 years?A large software company gives job applicants a test of programming ability, and the mean score for the test has been 150 in the past. Twenty-five applicants are randomly selected from one large university and they produce a mean score of 155, with a standard deviation of 12. At a significance level of 0.025, does this indicate that the sample comes from a population with a mean score greater than 150 Interpret the random variable X using the context of the problem Interpret the random variable using the context of the problem Use proper notations to write the Null and Alternative Hypothesis What is the sample size? What is the population standard deviation? What is the sample standard deviation? Calculate the test statistic Find the p-value? Why did you make the decision in 10)?
- IQs measured on a certain scale are normally distributed with a mean of 90 and a variance of 400. whats the probability that a random person will have an IQ between 120 and 130. the IQ of 51 people was taken, a sample mean of 90 and standard deviation of 64 was obtained. does this support that people tend to have IQs<100? use a 5% level of significance.A two-sided test of hypothesis assumes that a normally distributed random variable X with mean of 102.83 and standard deviation of 12.23 with alpha - 5% for a sample of size 4. If the real mean is 115 compute the power of the test.A lecturer is interested in studying the pass rate of their module. In a particular year, 20 students sit the module and 3 students fail.
- Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. 95.25% of all sample means of 36 days will be greater than ?.A manufacturing company has an average of 134 minutes average time in creating a mobile phone with standard deviation of 254 minutes. Assuming that the times are independent and normally distributed, what are the expected value and variance to complete the production with 12 assemblies?Suppose that the fraction of defective modems shipped by a data-communications vendor has an approximation beta distribution with a=5 and b=21. find the mean and variance of the fraction of defective modems per shipment What is the probability that a randomly selected shipment will contain at least 30 % defectives? What is the probability that a randomly selected shipment will contain no more than 5 % defectives?
- The service times for customers coming through a checkout counter in a retail store are independentrandom variables with mean 1.5 minutes and the variance 1.0. Approximate the probability that 100customers can be served in less than (a) 2 hours (b) 3 hours of total service time.A random sample of 10 subjects have weights with a standard deviation of 10.9654 kg what is the variance of their weights be sure to include the appropriate units with the resultA psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5 years, the child is administered an 1Q test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.4 and sample standard deviation of 16, is there evidence that the children have higher IQs? Use the a= 0.10 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Ho: H = 100 Hy: H > 100 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) %3D Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answer 80 888 112 F7 esc F4 F2 & @ %23 delete 7 8 9 2 3 4 { Q W E Y tab F G H K A D caps lock V B N M C - - .. .- つ くC N
