Ba 555 Practice Midterm

8. Draw conclusions – Assuming that your experiment produced results identical to those seen in Table 4, would you reject or accept the hypothesis that you produced in question 3? Explain how you determined this.

2) Compute the standard deviation for each of the four samples. Does the assumption of .21 for the population standard deviation appear reasonable?

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:

(b) The value of Z with an area of 5% in the right tail, but not the sample mean.

For the following research questions, create one null hypothesis, one directional research hypothesis, and one non-directional research hypothesis.

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

This learning experience is designed for a year 1 class (middle of the year) with diverse learning needs. The lessons take into account Gardner’s multiple intelligences theory and caters for EAL/D, students who are ready to move beyond the lesson and students who are not ready to move beyond the lesson. The activities seen in the three lessons may be modified to suit the needs of individual students (refer to catering for diversity).

(A) ADJUSTED GROSS INCOME: This is a measure of income and it used to establish eligibility for financial benefits. It is calculated as gross income from taxable sources minus allowable deductions. Adjusted gross income is important to individual income taxation because it controls individual qualification for numerous deductions and credits. Besides, it can affect individual eligibility for retirement plans.

Since the P-value (0.386) is greater than the significance level (0.05), we fail to reject the null hypothesis. The p-value implies the probability of rejecting a true 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.

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

(14.87*16/0.550329055/5.4772 = 0.1005) So, we have p = 0.1005. Then we ask if p is greater than a (alpha). Since p is greater than a = 0.10 we decide that there is significant evidence supporting the claim to not reject the Ho. So, we accept the null hypothesis that on average there is less than the advertised 16oz in each bottle.

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?

a) A recent article in Bangladesh Observer indicated that the mean selling price of the homes in the city of Dhaka is more than Tk. 2200. Can we conclude that the mean selling price in the Gulshan area is more than Tk. 2200? Use the 0.01 significance level. What is the P-value?

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.