H0:μ=16 H1:μ<16 Your sample consists of 42 subjects, with a mean of 14.6 and standard deviation of 2.95. Calculate the test statistic, rounded to 2 decimal places. t=

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.

Find the proportion of N.d. observations with a zz-score between z_1 =z1​= -2.45 and z_2 =z2​= 2.71. Give your answer to four decimal places.

A data set of lumber estimates(dollars) has a mean of 5 and a standard deviation of 4.739, calculate the z-score of 15.321542. Z-Score = [three decimal places]

Due in Testing: Ho: u = 40.26 H1: u # 40.26 Your sample consists of 29 subjects, with a mean of 42.1 and a sample standard deviation (s) of 4.48. Calculate the test statistic, rounded to 2 decimal płaces.

The number of leaves on apple seedlings aged 2 months followed a normal distribution, the average was 12sheet with a standard deviation of 2. What is the % of plant seeds that have                                                                  a. at least 10 sheetsb. between 10 to 12 sheetsc. more than 14 sheets.

The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.

On a recent quiz, the class mean was 69 with a standard deviation of 3.8. Calculate the z-score (to 4 decimal places) for a person who received score of 73. z-score: (2 decimal places) Is this unusual? O Not Unusual O Unusual

Acorns in the northern Atlantic regions of the U. S. have an average volume of 3.75 cubic centimeters, with a standard deviation of .85 centimeters. If we were to collect 1000 samples of 300 randomly-selected acorns, describe the sampling distribution for the sample mean of acorn volumes. Round to the nearest hundredth (two decimal places) if necessary. Shape: Center: Spread:

After 84 students at a particular university take a psychological evaluation, the sample mean score on the test is calculated to be 117 with a standard deviation of 44. We are interested in testing whether or not the mean score of the students at this university is different than the published population average of 112. Calculate the value of the test statistic and then use that to determine the appropriate p-value. 0.5952 0.2976 0.1488 0.8512 1.7024 0.1488 0.0744