Does the average Presbyterian donate (μ1) less than the average Catholic (μ2) in church on Sundays? The 48 randomly observed members of the Presbyterian church donated an average of $25 with a standard deviation of $13. The 56 randomly observed members of the Catholic Church donated an average of $33 with a standard deviation of $15. What can be concluded at the α = 0.10 level of significance?  H0:H0:  Select an answer p p1-p2 μ μd μ1-μ2  Select an answer = < > ≠  (please enter a decimal)     H1:H1:  Select an answer μ1-μ2 p1-p2 p μ μd  Select an answer = ≠ > <  (Please enter a decimal) The test statistic? z t  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

The lengths of nails produced in a factory are normally distributed with a mean of 3.343.34 centimeters and a standard deviation of 0.070.07 centimeters. Find the two lengths that separate the top 3%3% and the bottom 3%3%.

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.

An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150.  What would be the variance?

The Army reports that the distribution of head circumferences among male soldiers is approximately normal with μ =22.8 inches and σ = 1.1 inches. What is the circumference of a soldier whose head is 2.34 standard deviations above the mean?

Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard deviation of 1.6 inches. Find Q3 the third quartile that separates the bottom 75% from the top 25%

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 346 seconds. For a sample of 58 patients, the mean time in which the medicine relieved pain was 352 seconds. Assume the population standard deviation is 23. Find the P-value of the test statistic. 囲 Tables E Keypad Keyboard Shortcuts 0.0582 %3D IX

A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.8 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm. What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places.) 49 mm 54 mm 254 What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200. Let = 0.05., what is our decision about the average cost? Select one: a.Less than $8,500 b.Greater than 8500 c.None is correct d.Not equal to $8,500 e.Equal to $8,500