Statistics: Statistical Hypothesis Testing and Critical Value

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.

15 In testing the hypotheses: H0 β1 ’ 0: vs. H1: β 1 ≠ 0 , the following statistics are available: n = 10, b0 = 1.8, b1 = 2.45, and Sb1= 1.20. The value of the test statistic is:

• Provide at least two examples or problem situations in which statistics was used or could be used.

Because the p-value of .035 is less than the significance level of .05, I will reject the null hypothesis at 5% level.

Research results tell us information about data that has been collected. Within the data results, the author states the results are statistically significant, meaning that there is a relationship within either a positive and negative correlation. The M (Mean) of the data tells the average value of the results. The (SD) Standard Deviation is the variability of a set of data around the mean value in a distribution (Rosnow & Rosenthal, 2013).

Use the Internet or Strayer Library to research articles on hypothesis test and its application in business. Select one (1) company or organization which utilized hypothesis test

H10: There will be a statistically significant direct positive or negative correlation between the Franklin Pierce University Students who have been to Patriots games (tested with Pearson’s r)

c. Note the ways in which the means and standard deviations differ, and speculate on the possible meaning of these differences, presuming that they are representative of U.S. governors and large corporations’ CEOs in general.

As the alternative hypothesis is Ha:μ 30 we will use z-test for mean to test the given hypothesis.

To test the null hypothesis, if the P-Value of the test is less than 0.05 I will reject the null hypothesis.

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.

We conduct an independent sample t-test using Excel, and obtain the following output (see sheet T-TEST)

Conclusion : Reject the null hypothesis. The sample provide enough evidence to support the claim that mean is significantly different from 12 .

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.

Recent years have also seen an increase in the use of ATM machines. When Mr. Selig took over the bank, the mean number of transactions per month per customer was 8; now he believes it has increased to more than 10. In fact, the advertising agency that prepares TV commercial for Century would like to use this on the new commercial being designed. Is there sufficient evidence to conclude that the mean number of transactions per customer is more than 10 per month? Could the advertising agency say the mean is more than 9 per month?