Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed. C=0.98, x= 12.5, s=0.79, n= 19 (Round to one decimal place as needed.)

Assume the random variable X is normally distributed, with mean u= 44 and standard deviationo = 9. Find the 13th percentile.

Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a normal distribution. Give your answers to 2 decimal places. IQ scores of professional athletes: Sample size n 25 Mean x = 104 Standard deviation s = 9 = <μ<

The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches

With a mean of 10 and standard deviation of 5. Assume that the population data are normally distributed.  Calculate the z-score for a raw score of 5. What proportion of the distribution is equal to or less than this score?

This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used.  0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean.  0.5 point for finding the correct probability.   All work must be shown in order to receive any credit.  Please upload your completed assignment here.    The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.

A mean function E(Y IX = x) tells us: the probability of observing the value Y. O whether or not to reject the null hypothesis. how much data we need to collect. how the expected value of Y changes as X varies.

Use the normal distribution of heights of adult​ women, which has a mean of 167 centimeters and a standard deviation of 8 ​centimeters, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.   The percentage of heights less than 179 centimeters is ___%

The t distribution should be used whenever: Select one: A. the population is not normally distributed. B. the sample standard deviation is used to estimate the population standard deviation. C. None of the answers are correct. D. the sample size is less than 30.