"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise:

A manufacturer wants to know how large is the difference in mean wrinkle recovery angle.

1. The mean and the standard deviation for the Permafresh are:
   
   ¯x=x¯= Round to 3 decimal places.
   
   s=s= Round to 3 decimal places.
   
2. The mean and the standard deviation for the Hylite are:
   
   ¯x=x¯= Round to 3 decimal places.
   
   s=s= Round to 3 decimal places.
   
3. The standard error is:
   
   SE = Round to 3 decimal places.
   
   The critical value from the distribution for a confidence interval of 95% is:
   
   t*= Use degrees of freedom of 3. Use Technology Round to 3 decimal places.
   
4. Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 95% confidence interval for the difference in mean wrinkle recovery angle:
   
   to . Hint Round to 3 decimal places.

1. "Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise:

A manufacturer wants to know how large is the difference in mean wrinkle recovery angle.

Give a 98% confidence interval for the difference in mean wrinkle recovery angle:

2. Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ1μ1 = mean before workout.

Construct the appropriate confidence interval for the given level of significance.

"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the some fabric specimens.

A consumer group suspects that there is a difference in recovery from wrinkles after washing. Specifically, they want to test the claim that there is a difference in recovery between using Permafresh and Hilite. To investigate this, they identified the mean recovery from wrinkles after washing by measuring the wrinkle recovery angle in degrees for a sample of fabrics using Permafresh, and a sample of fabrics using Hylite.

At the 5% level of significance, is there enough evidence to conclude that there is a difference in wrinkle recovery angle between Permafresh and Hylite?

It is often reasonable to conclude that measurements are normal in distribution. So it is reasonable to assume the population of wrinkle recovery angle is normal for both Permafresh and Hylite. Also assume that the data represents a SRS (simple random sample) of fabrics using Permafresh and Hylite.

1) Why is this a two sample independent means test? and Step 1: State the Claims which means to State the null and alternative hypotheses. Use correct math type. You may want to consider looking back at the symbols assignment from the beginning of class.

"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the some fabric specimens.

A consumer group suspects that there is a difference in recovery from wrinkles after washing. Specifically, they want to test the claim that there is a difference in recovery between using Permafresh and Hylite. To investigate this, they identified the mean recovery from wrinkles after washing by measuring the wrinkle recovery angle in degrees for a sample of fabrics using Permafresh, and a sample of fabrics using Hylite.

At the 5% level of significance, is there enough evidence to conclude that there is a difference in wrinkle recovery angle between Permafresh and Hylite?

It is often reasonable to conclude that measurements are normal in distribution. So it is reasonable to assume the population of wrinkle recovery angle is normal for both Permafresh and Hylite. Also assume that the data represents a SRS (simple random sample) of fabrics using Permafresh and Hylite.

2) Step 2: Collect the Data. This step means to find the summary data for the sample, and to assess normality, and to find the test statistic.

a) What are the sample means? Use 4 decimal places.

Permafresh: ______

Hylite: _______

b) What are the sample standard deviations? Use 4 decimal places.

Permafresh: _____

Hylite: ________

c) Are the normality assumptions met? Is it reasonable to assume normality?

"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the some fabric specimens.

A consumer group suspects that there is a difference in recovery from wrinkles after washing. Specifically, they want to test the claim that there is a difference in recovery between using Permafresh and Hylite. To investigate this, they identified the mean recovery from wrinkles after washing by measuring the wrinkle recovery angle in degrees for a sample of fabrics using Permafresh, and a sample of fabrics using Hylite.

At the 5% level of significance, is there enough evidence to conclude that there is a difference in wrinkle recovery angle between Permafresh and Hylite?

It is often reasonable to conclude that measurements are normal in distribution. So it is reasonable to assume the population of wrinkle recovery angle is normal for both Permafresh and Hylite. Also assume that the data represents a SRS(simple random sample) of fabrics using Permafresh and Hylite.

4) Step 4: Conclusion. State your conclusion. Either reject or fail to reject H0H0 , indicate why, then write the conclusion in terms of the problem.

"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better.

Here are data on the wrinkle recovery angle (in degrees) for the some fabric specimens.

A consumer group suspects that there is a difference in recovery from wrinkles after washing. Specifically, they want to test the claim that there is a difference in recovery between using Permafresh and Hilite. To investigate this, they identified the mean recovery from wrinkles after washing by measuring the wrinkle recovery angle in degrees for a sample of fabrics using Permafresh, and a sample of fabrics using Hylite.

At the 5% level of significance, is there enough evidence to conclude that there is a difference in wrinkle recovery angle between Permafresh and Hylite? It is often reasonable to conclude that measurements are normal in distribution. So it is reasonable to assume the population of wrinkle recovery angle is normal for both Permafresh and Hylite.

Also assume that the data represents a SRS (simple random sample) of fabrics using Permafresh and Hylite.

1) Why is this a two sample independent means test?

2) Step 1: State the Claims which means to State the null and alternative hypotheses. Use correct math type. You may want to consider looking back at the symbols assignment from the beginning of class.

2) Step 2: Collect the Data. This step means to find the summary data for the sample, and to assess normality, and to find the test statistic.

a) What are the sample means ? Use 4 decimal places. Permafresh: Hylite:

b) What are the sample standard deviations? Use 4 decimal places. Permafresh: Hylite:

c) Are the normality assumptions met? Since the data size is small in both samples, indicate this by looking at the statement of the problem. Is it reasonable to assume normality?

3) Step 3: Assessment of Evidence. Find the pvalue and upload an image of the normal curve with the test statistic indicated and the correct area of the curve shaded. This shaded area is the pvalue.

a) What is the pvalue? Use 4 decimal places. b) Upload an image of the normal curve with the test statistic indicated and the correct area of the curve shaded. This shaded area is the pvalue.

4) Step 4: Conclusion. State your conclusion. Either reject or fail to reject H0H0 , indicate why, then write the conclusion in terms of the problem.

"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for a random sample of fabric specimens. Assume the populations are approximately normally distributed with unequal variances. A manufacturer believes that the mean wrinkle recovery angle for Hylite is better. A random sample of 25 Hylite (group 1) and 20 Permafresh (group 2) were measured. Test the claim using a 10% level of significance.

The Hypotheses for this problem are:

H₀: μ₁ = μ₂

H₁: μ₁ > μ₂

Find the p-value. Round answer to 4 decimal places.

The production manager of Rordan Corporation has submitted the following quarterly production forecast for the upcoming fiscal year:

Each unit requires 0.35 direct labor-hours, and direct laborers are paid $12.00 per hour.

Required:

1. Prepare the company’s direct labor budget for the upcoming fiscal year. Assume that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced.

2. Prepare the company’s direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. Instead, assume that the company’s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,600 hours of work each quarter. If the number of required direct labor-hours is less than this number, the workers are paid for 2,600 hours anyway. Any hours worked in excess of 2,600 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

The direct labor budget of Yuvwell Corporation for the upcoming fiscal year contains the following details concerning budgeted direct labor-hours:

The company uses direct labor-hours as its overhead allocation base. The variable portion of its predetermined manufacturing overhead rate is $3.25 per direct labor-hour and its total fixed manufacturing overhead is $48,000 per quarter. The only noncash item included in fixed manufacturing overhead is depreciation, which is $16,000 per quarter.

Required:

1. Prepare the company’s manufacturing overhead budget for the upcoming fiscal year.

2. Compute the company’s predetermined overhead rate (including both variable and fixed manufacturing overhead) for the upcoming fiscal year.

Garden Sales, Inc., sells garden supplies. Management is planning its cash needs for the second quarter. The company usually has to borrow money during this quarter to support peak sales of lawn care equipment, which occur during May. The following information has been assembled to assist in preparing a cash budget for the quarter:

1. Budgeted monthly absorption costing income statements for April–July are:

*Includes $17,000 of depreciation each month.

2. Sales are 20% for cash and 80% on account.

3. Sales on account are collected over a three-month period with 10% collected in the month of sale; 70% collected in the first month following the month of sale; and the remaining 20% collected in the second month following the month of sale. February’s sales totaled $165,000, and March’s sales totaled $225,000.

4. Inventory purchases are paid for within 15 days. Therefore, 50% of a month’s inventory purchases are paid for in the month of purchase. The remaining 50% is paid in the following month. Accounts payable at March 31 for inventory purchases during March total $95,900.

5. Each month’s ending inventory must equal 20% of the cost of the merchandise to be sold in the following month. The merchandise inventory at March 31 is $65,800.

6. Dividends of $25,000 will be declared and paid in April.

7. Land costing $33,000 will be purchased for cash in May.

8. The cash balance at March 31 is $47,000; the company must maintain a cash balance of at least $40,000 at the end of each month.

9. The company has an agreement with a local bank that allows the company to borrow in increments of $1,000 at the beginning of each month, up to a total loan balance of $200,000. The interest rate on these loans is 1% per month and for simplicity we will assume that interest is not compounded. The company would, as far as it is able, repay the loan plus accumulated interest at the end of the quarter

The company’s president is interested in knowing how reducing inventory levels and collecting accounts receivable sooner will impact the cash budget. He revises the cash collection and ending inventory assumptions as follows:

1. Sales continue to be 20% for cash and 80% on credit. However, credit sales from April, May, and June are collected over a three-month period with 25% collected in the month of sale, 65% collected in the month following sale, and 10% in the second month following sale. Credit sales from February and March are collected during the second quarter using the collection percentages specified in the main section.

2. The company maintains its ending inventory levels for April, May, and June at 15% of the cost of merchandise to be sold in the following month. The merchandise inventory at March 31 remains $65,800 and accounts payable for inventory purchases at March 31 remains $95,900.