We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 535. So, we choose a random sample of exam scores. The sample has a mean of 516 and a standard deviation of 76. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 13, and it is from a normally distributed population with a known standard deviation of 75. Z = t = (or) : It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation. z = t = (or) It is unclear which test statistic to use.

We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 535. So, we choose a random sample of exam scores. The sample has a mean of 516 and a standard deviation of 76. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 13, and it is from a normally distributed population with a known standard deviation of 75. Z = t = (or) : It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation. z = t = (or) It is unclear which test statistic to use.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

(a)	The sample has size 13, and it is from a normally distributed population with a known standard deviation of 75.
		Z =
		t =
		(or) : It is unclear which test statistic to use.

(b)	The sample has size 11, and it is from a normally distributed population with an unknown standard deviation.
		z =
		t =
		(or) It is unclear which test statistic to use.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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