The average starting salary for a data analyst is Php 40,000 and a standard deviation of 5,000. A random sample of size 50 is drawn from the population. Find the probability that the sample mean X is less than 30,000.
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- the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are normally distributed, what percent of the boys from the group weigh between 142 lb and 152lb?An agronomist measured the height of 134 canola plants. The mean height was 214 cm and the standard deviation was 16 cm. Calculate the standard error of the mean.Assume the birth weights at a local hospital have a normal distribution with a mean of 110 oz and a standard deviation of 15 oz. Draw a normal curve and label the mean and each value which is one, two, or three standard deviations above the mean. Then label each value which is one, two, or three standard deviations below the mean.
- In a job fair, 3000 applicants applied for a job. Their mean age was formed to be 28 with a standard deviation of 4 years. Draw a normal curve distribution showing the z scores and the raw scores.The age of student at a university are normally distributed with a mean of 20. What percentage of the student body is at least 20 years old?The standard deviation of the lengths of a hospital stay on the intervention ward is 8.7 days. What is the probability that the sampling error made in estimating the population mean length of stay by the mean length of stay of a sample of 73 patients will be at most 2 days
- The average monthly sales of 2500 firms are normally distributed with mean $30000 and standard deviation of $15000. Find the number of firms with sales below $35000.The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for…According to data for a population, 3-year-old boys have a mean height of 39 inches and a standard deviation of 2 inches. Assume the distribution is approximately Normal. Find the percentile measure for a height of 41 inches for a 3-year-old boy
- Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? childrenThe average score of all golfers for a particular course has a mean of 78 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 79, rounding to four decimal places.