DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

Required:

1-a. Compute the throughput time for each month. (Round your answers to 1 decimal place.)

1-b. Compute the manufacturing cycle efficiency (MCE) for each month. (Round your answers to 1 decimal place.)

1-c. Compute the delivery cycle time for each month. (Round your answers to 1 decimal place.)

3-a. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

3-b. Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

Q1) Last year the government made a claim that the average income of the American people was $34100 However, a sample of 25 people taken recently showed an average income of $34,665 with a standard deviation of $3200. Is the government’s estimate too low? Conduct a significance test to see if the true mean is more than the reported average by the government. Use α=0.05.

(a) State the null and alternative hypothesis.

(b) Calculate the test statistic.

(c) Calculate the p-value. Round to 4 decimal places

(d) Make a decision at the 0. 05 significance level to reject Ho or fail to reject Ho.

(e) Write your conclusion in the context of the claim.

Q2) A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating Alzheimer’s disease will experience nausea. In a random sample of 500 patients, 47 experienced nausea. Perform a significance test at the 5% significance level to test this claim.

(a) State the null and alternative hypothesis.

(b) Calculate the test statistic.

(c) Calculate the p-value. Round to 4 decimal places

(d) Make a decision at the 0. 05 significance level to reject Ho or fail to reject Ho.

(e) Write your conclusion in the context of the claim.

2019 is the first year of operation for Flitz Company. Applicable tax rates enacted by the end of 2018 are as follows:2019 25%2020 20%2021 and later 30%Compute the amount of deferred taxes to appear on the balance sheet at 12/31/19 with proper classifications, prepare the journal entry to record income tax expense for 2019, and show the current and deferred portions of income tax expense on the income statement for 2019.(a) In 2019 Flitz had pre-tax financial income of $450,000.(b) Pre-tax financial income was different from taxable income due to the following:Depreciation, the straight-line method for financial purpose while MACRS is used for tax purpose 35,000(tax-deductible in 2019, expense in 2020 20,000 in 2021 15,000)Fine for pollution 8,000(not tax-deductible, expense in 2019) Revenue received in advance 14,000(taxable 2019, revenue in 2020)Revenue from investment on equity method for financial purpose and cost method is used for tax purpose 10,000(revenue in 2019, taxable in 2020) Litigation accrual 80,000(expense in 2019, tax-deductible in 2022)Interest received on municipal bonds 6,000(revenue in 2019, not taxable)

1. The average expenditure per student for a certain school year was $10337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10798. At α =0.01 level of significance, can it be concluded that the average expenditure has changed?

2. (10 pts) Suppose when you were visiting universities and deciding which to attend, the admission officers at Tennessee Wesleyan(TW) claimed TW students graduate in 4.25 years or less. You are now a student at TW and notice that a lot of students are graduating in more than 4.25 years. Therefore, you doubt that you were given accurate graduation rates by the TW admission officers. You collect data and compute graduation rates of TW graduates from the last 10 years (n=10). You obtain a mean graduation rate of 4.74 years and a standard deviation of 0.76 years. Do you have strong enough evidence to prove that TW admissions officers are not providing accurate rates at α =0.05 level of significance? Use hypothesis testing to determine your conclusion.

The UD Women's Golf Team qualified for nationals this year (really they did; the rest is untrue) ... and the two best golfers on the squad were very well matched. Golfer 1 played 112 rounds (n1 =112) this year with an average score of 69.95 and golfer 2 played 84 rounds (n2 = 84) with an average score of 69.56. Assuming both had population standard deviations of 2.5 and that the confidence level we wanted was 99%, test the hypothesis that there was no difference between the population mean scores for UD's top two golfers.

The average household of four has about 2,000 lbs of laundry in a year. Suppose this data is normally distributed with a standard deviation of 187.5. Find the probability that a random sample of 49 families will have less than 1980 lbs. of laundry per year. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.

A.0.3409

B.0.2266

C.0.6591

D.0.7734

2. Find critical z-value for 92% confidence interval. Answer should have a positive value with 2 decimal places.

3. Find critical z-value for 84% confidence interval. Answer should have a positive value with 2 decimal places.

Looking at all eruptions at the Old Faithful geyser last year, the distribution of length of eruption has a population mean of 104 seconds and population standard deviation of 6 seconds. Suppose we take record the sample mean eruption length for many random samples of 25 eruptions.

a) What is the standard deviation of the sampling distribution of the sample mean?

b) In the space below, sketch a density curve that describes that sampling distribution. Label the mean of the distribution and the values one, two, and three standard deviations away from the mean.

Using your sketch from part (b) to help you if needed, answer the following questions.

c) About what percentage of sample means would you expect to be between 101.6 and 106.4 seconds?

d) About what percentage of sample means would you expect not to be between 100.4 and 107.6 seconds?

e) Identify these statements about sampling distributions as true (T) or false (F).

____ A sampling distribution can be shown graphically using a histogram.

____ The Central Limit Theorem applies only to the distribution of population means.
The Central Limit Theorem applies only to the distribution of population means.

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.2 pounds, what is the probability that the sample mean will be each of the following?

Appendix A Statistical Tables

a. More than 58 pounds
b. More than 57 pounds
c. Between 56 and 58 pounds
d. Less than 55 pounds
e. Less than 49 pounds

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

a. enter the probability that the sample mean will be more than 58 pounds

b. enter the probability that the sample mean will be more than 57 pounds

c. enter the probability that the sample mean will be between 56 and 58 pounds

d. enter the probability that the sample mean will be less than 55 pounds

e. enter the probability that the sample mean will be less than 49 pounds

1. Periodic Inventory by Three Methods

   The units of an item available for sale during the year were as follows:

   Jan. 1	Inventory	1,080 units @ $122
   Feb. 17	Purchase	1,390 units @ $124
   Jul. 21	Purchase	1,625 units @ $125
   Nov. 23	Purchase	1,135 units @ $126

   There are 1,210 units of the item in the physical inventory at December 31. The periodic inventory system is used. Do not round intermediate calculation and round final answer to nearest whole value.

   a. Determine the inventory cost by the first-in, first-out method.
   $ ________

   b. Determine the inventory cost by the last-in, first-out method.
   $________

   c. Determine the inventory cost by the weighted average cost method.
   $_________

A marketing researcher wants to estimate the mean amount spent per year​ ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $54.

a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $47? (Use .10 level of significance.) State the null and alternative hypotheses.

b. Identify the critical values.

c. Determine the test statistic.

d. Do Not Reject/Reject H0. there is Insufficient/Sufficient evidence that the population mean spent by membership member customer is different from $47.

e. Determine the p-value and interpret its meaning.