3. The number of inquiries received per day by the Office of Admissions ina certain university is shown below. Find the mean, variance and standard deviation. Number of 22 23 24 25 26 27 Inquiries (X) Probability P(X) X.P(X) X2 . P(X) 0.08 0.19 0.36 0.25 0.07 0.05
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- The mean of Binomial distribution is 3 and variance is. Find P(1 < x < 6)3.Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eight months with a sample standard deviation of five months. Assume that the underlying population distribution is normal. Part (a) (i) Enter an exact number as an integer, fraction, or decimal. x = (ii) Enter an exact number as an integer, fraction, or decimal. sx = (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 = Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) Construct a 99% confidence interval for the population mean length of time using training wheels. (i) State the confidence interval. (Round your answers to two decimal places.) , (ii) Sketch the graph. (Round your answers to two decimal…
- Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eleven months with a sample standard deviation of two months. Assume that the underlying population distribution is normal. Part (a) (i) Enter an exact number as an integer, fraction, or decimal. x = (ii) Enter an exact number as an integer, fraction, or decimal. sx = (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 = Part (b) Part (c) Part (d) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) Explain your choice. Construct a 99% confidence interval for the population mean length of time using training wheels. (i) State the confidence interval. (Round your answers to two decimal…can you find the mean and standard deviation?A country's Energy Information Administration monitors all nuclear power plants operating in that country. The table to the right lists the number of active nuclear power plants operating in each of a sample of 10 states. Full data set o Number of State Power Plants State Power Plants Number of 10 a. Find the range, variance, and standard deviation of this data set. range =O Sample variance, s = (Round to three decimal places as needed.) Sample standard deviation, s=(Round to three decimal places as needed.) b. Eliminate the largest value from the data set and repeat part a. What effect does dropping this measurement have on the measures of variation found in part a? range =O s = (Round to three decimal places as needed.) s=U (Round to three decimal places as needed.) What effect does dropping this measurement have on the measures of variation found in part a? Choose the correct answer below. O A. The range decreases, but the variance and standard deviation stay the same O B. It…
- 4. Let X be a random variable representing dividend yield of Australian bank stocks. We may assume that X has a normal distribution with standard deviation = 2.4%. A random sample of 19 Australian bank stocks has a sample mean of = 8.71%. For the entire Australian stock market, the mean dividend yield is = 5.9%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 5.9% ? Use Q=.05. Are the data statistically significant at the given level of significance? Based on your answers, will you reject or fail to reject the null hypothesis? A. The p-value is less than the level of significance and so the data are not statistically significant. Thus, we reject the null hypothesis. B. The p-value is less than the level of significance and so the data are statistically significant. Thus, we fail to reject the null hypothesis. C. The p-value is greater than the level of significance and so the data are statistically significant. Thus, we fail to reject the…Suppose that a distribution of 500 items has mean 115 and standard deviation 4. Find the z-score of the item xequals=125. z=enter your response here (Type an integer or decimal rounded to the nearest tenth as needed.)Mean, variance, standard deviation, & z-scores: {5, 7, 7, 5, 5} {7, 7, 11, 7, 10} N=5