a Determine the probability of making 9 The probability of success for a binomial the true value is 0.45 and a sample of size distribution is tested. It is hypothesised that the true value is 0.45 and a sample of size 12 is taken. a type I error if the significance level is i 10% ii 5% iii 1% b Find also the probability of making a type II error in each case if the true value is actually 0.6
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- How do you do this?A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of adults found that 46% have used a multivitamin in the past 12 months You randomly select 50 adults and ask them past 12 months. they have used a multivitamin in the Select the correct answer below and, if necessary, fill in the answer boxes within your choice O A. No, because np <5. OB. No, because ng <5. O C. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.)Question * The size of an ear of wheat in a field is modeled by a random variable X with normal distribution N(15,6). What is the probability for an ear to be greater than 16cm? 0.5675 0.5636 0.4325 0.5 Question Suppose we are interested in finding a 95% confidence interval for the mean SAT Verbal score of students at a certain high school. Five students are sampled, and their SAT Verbal scores are
- K Use the given confidence interval to find the margin of error and the sample proportion. (0.755,0.779) E= (Type an integer or a decimal.) p=(Type an integer or a decimal.)Samples of size n- 9 are selected from a normal population withp -80with o- 18. What is the standard error for the distribution of sample means? OM-5 OM- 18 O M- 6 0 0The top-selling Red and Voss tire is rated 80000 miles, which means nothing. In fact, the distance the tires can run until wear- out is a normally distributed random variable with a mean of 92000 miles and a standard deviation of 8000 miles. A. What is the probability that the tire wears out before 80000 miles? Probability = Round to four decimals CS Scanned with CamScanner
- I During an Professor's office hours (from 12pm to 6pm), an average of about 1 student per hour comes in for help. Assuming that the probability of a student coming in is uniform throughout the office hours..... What are the odds that on a particular day 6 students would have come in for help? What is the mean number of students that will come on a particular day? Variance? Standard deviation? acerBones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 16 minutes. Suppose 100 returns from this year are selected and analyzed regarding the preparation time. What is the probability that the mean time for the sample of 100 returns is between 88 minutes and 92 minutes? Multiple Choice Approximately 1 0.1956 0.7752 0.7888**All calculations should be shown by hand**
- Choose the correct distribution to use. The distribution of scores is normal and you know the population standard deviation. Regardless of sample size you use: Select an answer z-score t-score Binomial Geometric Poisson None The original distribution is NOT normal, you know the population standard deviation and your sample size is large (greater than 30), then you use: Select an answer z-score t-score Binomial Geometric Poisson None The original distribution is normal, you do NOT know the population standard deviation. You do have a sample standard deviation. You would then use: Select an answer z-score t-score Binomial Geometric Poisson None The original distribution is NOT normal, you do NOT know the population standard deviation and your sample size is small (less than 30), then you use: Select an answer z-score t-score Binomial Geometric Poisson None The original distribution is discrete, you know the probability of success and you are looking for the probability of getting xx…Determine the probability P (3) for a binomial experiment with n=8 trials and the success probability p=0.3. Then find the mean, variance, and standard deviation. Part 1 of 3 Determine the probability p(3). Round the answer to at least three decimal places. P(3)-O Part 2 of 3 Find the mean. If necessary, round the answer to two decimal places. The mean is Part 3 of 3 Find the variance and standard deviation. If necessary, round the variance to two decimal places and standard deviation to at least three decimal places. The variance is The standard deviation isUPVOTE will be given! STATISTICS AND PROBABILITY MULTIPLE CHOICE A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation σ of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes. What conclusion may be drawn? a. W. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time. b. X. There is insufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14 does not differ significantly from the hypothesized mean waiting time. c. Y. There is sufficient evidence to reject Ho. The mean peak hours waiting time for Bus # 14) differs significantly from the…