443Normal Distribution04Step 1: Select one-tailed or two-tailed.One-tailedO Two-tailed03-Step 2: Enter the test statistic.(Round to 3 decimal places.)02-Step 3: Shade the area represented bythe p-value.0.1-Step 4: Enter the p-value.(Round to 3 decimal places.)(b) Based on your answer to part (a), which statement below is true?O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.O Ssince the p-value is greater than the level of significance, the null hypothesis is rejected.Since the p-value is greater than the level of significance, the null hypothesis is not rejected. Suppose there is a claim that a certain population has a mean, u, that is different than 8. You want to test this claim. To do so, you collect a large randomsample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and thealternative hypothesis, H,, as follows.Ho: u = 8H: u = 8Suppose you also know the following information.The value of the test statistic based on the sample is 1.762 (rounded to 3 decimal places).The p-value is 0.078 (rounded to 3 decimal places).(a) Complete the steps below for this hypothesis test.Normal Distribution04Step 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed0.3-Step 2: Enter the test statistic.(Round to 3 decimal places.)0.2+Step 3: Shade the area represented bythe p-value.0.1

Name: 443Normal Distribution04Step 1: Select one-tailed or two-tailed.One-t
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Description: 443Normal Distribution04Step 1: Select one-tailed or two-tailed.One-tailedO Two-tailed03-Step 2: Enter the test statistic.(Round to 3 decimal places.)02-Step 3: Shade the area represented bythe p-value.0.1-Step 4: Enter the p-value.(Round to 3 decim

we have given that null and alternative hypothesis and test statistic =1.762 p-value=0.078

Math

Statistics

Normal DistributioOn Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03- Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Ssince the p-value is greater than the level of significance, the null hypothesis is not rejected.

Normal DistributioOn Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03- Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Ssince the p-value is greater than the level of significance, the null hypothesis is not rejected.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

443
Normal Distribution
04
Step 1: Select one-tailed or two-tailed.
One-tailed
O Two-tailed
03-
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
02-
Step 3: Shade the area represented by
the p-value.
0.1-
Step 4: Enter the p-value.
(Round to 3 decimal places.)
(b) Based on your answer to part (a), which statement below is true?
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected.
O Ssince the p-value is greater than the level of significance, the null hypothesis is rejected.
Since the p-value is greater than the level of significance, the null hypothesis is not rejected.

Suppose there is a claim that a certain population has a mean, u, that is different than 8. You want to test this claim. To do so, you collect a large random
sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the
alternative hypothesis, H,, as follows.
Ho: u = 8
H: u = 8
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.762 (rounded to 3 decimal places).
The p-value is 0.078 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Normal Distribution
04
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.3-
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.2+
Step 3: Shade the area represented by
the p-value.
0.1

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