Hypothesis
Quality Associates, Inc. is a consulting firm that advises its clients about sampling and statistical procedures that can be used to control manufacturing processes. In one case, a client provided Quality Associates with a sample of 800 observations that were taken during a time when the client's process was operating satisfactorily. The sample standard deviation for these data was .21, hence, the population standard deviation was assumed to be .21. Quality Associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily. When the process was not operating
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The sample does not provide enough evidence to support the claim that mean is significantly different from 12
Sample 2
Z Test of Hypothesis for the Mean Data
Null Hypothesis μ= 12
Level of Significance 0.01
Population Standard Deviation 0.21
Sample Size 30
Sample Mean 12.03 Intermediate Calculations
Standard Error of the Mean 0.038340579
Z Test Statistic 0.747684761 Two-Tail Test
Lower Critical Value -2.575829304
Upper Critical Value 2.575829304 p-Value 0.454650325
Do not reject the null hypothesis
Conclusion : Fails to reject the null hypothesis. The sample does not provide enough evidence to support the claim that mean is significantly different from 12 .
Sample 3
Z Test of Hypothesis for the Mean Data
Null Hypothesis μ= 12
Level of Significance 0.01
Population Standard Deviation 0.21
Sample Size 30
Sample Mean 11.89 Intermediate Calculations
Standard Error of the Mean 0.038340579
Z Test Statistic -2.895104947 Two-Tail Test
Lower Critical Value -2.575829304
Upper Critical Value 2.575829304 p-Value 0.003790318
Reject the null hypothesis
Conclusion : Reject the null hypothesis. The sample provide enough evidence to support the claim that mean is significantly different from 12 .
Sample 4
Z Test of Hypothesis for the Mean Data
Null Hypothesis μ= 12
Level of Significance 0.01
Population Standard Deviation 0.21
Sample Size 30
However, treatment four, 0.1296 (±0.608), represents that the mean was extraneous from what it should be (Table 1). The t-tests show how different the mean is in each treatment.
If the total sample size is over 15, two sample t tests are safe if there are no
In this study, t= -3.15 describes the mental health variable. It is significant because they are the variables being tested since the p value is 0.002 and the alpha is 0.05, the difference can cause the null hypothesis to be rejected.
With a P-value of 0.00, we have a strong level of significance. No additional information is needed to ensure that the data given is accurate.
“Hypothesis testing is a decision-making process for evaluating claims about a population” (Bluman, 2013, p. 398). This process is used to determine if you will accept or reject the hypothesis. The claim is that the bottles contain less than 16 ounces. The null hypothesis is the soda bottles contain 16 ounces. The alternative hypothesis is the bottles contain less than 16 ounces. The significance level will be 0.05. The test method to be used is a t-score. The test statistic is calculated to be -11.24666539 and the P-value is 1.0. The P-value is the probability of observing a sample statistic as extreme as the test statistic, assuming the null hypothesis is true. The T Crit value is 1.69912702. The calculations show there is enough evidence to support the claim that the soda bottles do
Explain how the data collected will provide the data necessary to support or negate the hypothesis or proposition
The null hypothesis that there is no relationship between the amount of coffee consumption and GPA (p = .62).
So, we should reject the null hypothesis H0. At a 0.05 level of significance level, we conclude that there is a significant difference between the average height for females and the average height for the males.
Thus, if the statistical test comes back showing a p-value less than 0.05, it is determined that the groups are significantly different from each other. The
It tells that the t-statistic with 97 degrees of freedom was 2.14, and the corresponding p-value was less than .05, specifically around 0.035. Therefore, it is appropriate to conclude the research study was statistically significant.
Quality Associates, Inc., a consulting firm advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. In one particular application a client gave Quality Associates a sample of 800 observations taken during a time in which the client’s process was operating satisfactorily. The sample standard deviation of this data was 0.21; hence with so much data, the population standard deviation was assumed to be 0.21. Quality Associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily. When the process was not operating satisfactorily, corrective action could be taken to eliminate the problem. The design specification indicated the mean for the process should be 12. The hypothesis test suggested by Quality Associates follows.
Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. IN one particular application, a client game quality associates a sample of 800 observations taken during a time in which that client's process was operating satisfactorily. The sample standard deviation for there data was .21 ; hence, with so much data, the population standard deviation was assumed to be .21. Quality associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. BY analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily. when the process was not
The null hypothesis suggests that there is no difference between the means of the three samples, while the claim in the alternative hypothesis suggests that at least one mean is different.
5) From calculations, computed z value is more than -1.65 and falls within Ho not rejected region. Ho is not rejected at α = 0.05 & α = 0.01 significance levels.
To test the null hypothesis, if the P-Value of the test is less than 0.05 I will reject the null hypothesis.