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
…show more content…
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
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.
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 that there is no relationship between the amount of coffee consumption and GPA (p = .62).
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.
If the total sample size is over 15, two sample t tests are safe if there are no
Explain how the data collected will provide the data necessary to support or negate the hypothesis or proposition
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.
To test the null hypothesis, if the P-Value of the test is less than 0.05 I will reject the null hypothesis.
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.
The customers in this case study have complained that the bottling company provides less than the advertised sixteen ounces of product. They need to determine if there is enough evidence to conclude the soda bottles do not contain sixteen ounces. The sample size of sodas is 30 and has a mean of 14.9. The standard deviation is found to be 0.55. With these calculations and a confidence level of 95%, the confidence interval would be 0.2. There is a 95% certainty that the true population mean falls within the range of 14.7 to 15.1.
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
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.
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.
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.
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.