Statistics Question

BUS 550 Assignment #8_F22Problems:
10.3 – Part of the assembly line will need adjusting if the consistency of the injected
plastic becomes either too viscous or not viscous enough as compared with a value
(56.00) your engineers consider reasonable. You will decide to adjust only if you are
convinced that the system is “not in control,” that is, there is a real need for adjustment.
The average viscosity for 13 recent measurements was 51.22 with a standard error of
3.18.
a. Identify the null and research hypotheses for a two-sided test, using both words and
mathematical symbols.
b. Perform a two-sided test at the 5% significance level and describe the result.
c. Perform a two-sided test at the 1% significance level and describe the result.
d. State the p-value as either p > 0.05, p < 0.05, p < 0.01, or p < 0.001. e. Find the p-value using statistical software. 10.5- Some of your advertisements seem to get no reaction, as though they are being ignored by the public. You have arranged for a study to measure the public’s awareness of your brand before and after viewing a TV show that includes the advertisement in question. You wish to see if the ad has a statistically significant effect as compared with zero, representing no effect. Your brand awareness, measured on a scale from 1 to 5, was found to have increased an average of 0.22 point when 200 people were shown an advertisement and questioned before and after. The standard deviation of the increase was 1.39 points. a. Identify the null and research hypotheses for a two-sided test, using both words and mathematical symbols. b. Perform a two-sided test at the 5% significance level and describe the result. c. Perform a two-sided test at the 1% significance level and describe the result. d. State the p-value as either p > 0.05, p < 0.05, p < 0.01, or p < 0.001. e. Find the p-value using statistical software. . 10.8- Your factory’s inventory level was determined at 12 randomly selected times last year, with the following results: 313, 891, 153, 387, 584, 162, 742, 684, 277, 271, 285, 845 a. Find the typical inventory level throughout the whole year, using the standard statistical summary. b. Identify the population. c. Find the 95% confidence interval for the population mean inventory level. d. Is the average of the measured inventory levels significantly different from 500, which is the number used for management budgeting purposes? Justify your answer. 1 BUS 550 Assignment #8_F22 10.13- At a recent meeting, it was decided to go ahead with the introduction of a new product if “interested consumers would be willing, on average, to pay $20.00 for the product.” A study was conducted, with 315 random interested consumers indicating that they would pay an average of $18.14 for the product. The standard deviation was $2.98. a. Identify the reference value for testing the mean for all interested consumers. b. Identify the null and research hypotheses for a two-sided test using both words and mathematical symbols. c. Perform a two-sided test at the 5% significance level and describe the result. d. Perform a two-sided test at the 1% significance level and describe the result. e. State the p-value as either p > 0.05, p < 0.05, p < 0.01, or p < 0.001. f. Find the p-value using statistical software. 2