Writing a Hit Song. In the manual “How to Have a Number One the Easy Way,” by KLF Publications, it is stated that a song “must be longer than three minutes and thirty seconds” (or 210 seconds).  A simple random sample of 40 current hit songs results in a mean length of 252.5 sec. Assume that the standard deviation of song lengths is 54.5 sec.  Use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 210 sec.  (Please Show All Work)   State the hypothesis in symbolic form.   Find the test statistic.   Find the P-Value.   Without using technical terms (in context of the problem), state a final conclusion.

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $47,000 and a standard deviation of $4,600. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)a. Find the 90th percentile for an individual teacher's salary b. Find the 90th percentile for the average teacher's salary.

Consider the following data: −9,13,−14,−14,−9,−14,−9−9,13,−14,−14,−9,−14,−9 Copy Data Step 2 of 3:  Calculate the value of the sample standard deviation. Round your answer to one decimal place.

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are given in the frequency distribution:   Aptitude Score 0 1 2 3 4 5 Frequency 1 6 4 1 5 2   Calculate the sample standard deviation of this data. Answer using two decimal places.

Calculate the sample variance and sample standard deviation of restaurant visits.

Use the magnitudes​ (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the​ range, variance, and standard deviation. If another​ value, 8.00, is added to those listed in the data​ set, do the measures of variation change much? 3.272.452.542.432.752.372.192.421.911.432.851.731.992.322.332.704.742.873.382.722.833.423.952.993.873.473.082.942.703.602.842.373.033.232.593.643.242.662.352.432.813.952.522.922.983.412.272.562.933.162.201.151.934.002.542.832.352.311.522.801.951.602.452.332.081.553.201.491.812.551.662.352.452.082.192.752.002.792.392.671.692.881.841.991.862.561.972.183.671.553.162.461.881.502.793.283.822.752.452.712.541.642.183.032.361.481.922.322.651.411.391.802.242.302.481.732.402.442.482.44

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, mode, and standard deviation. Round to one decimal place as needed. Use technology.19, 22, 26, 28, 29, 31, 35, 35Mean = Median = Mode = Standard Deviation =

Given the sample data {1, 1, 3, 4, 6}.Calculate the mean.Calculate the standard deviation.

Calculate the standard deviation for the following set of scores: 18, 22, 26, 22, 34, 7, 18.  (Use n-1 as the denominator in your calculations.)  The standard deviation for this data is: Group of answer choices

The ages in years of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set 12,17,23,14,17,16,20,17,13,15