Saeko owns a yarn shop and want to expands her color selection. Before she expands her colors, she wants to find out if her customers prefer one brand over another brand. Specifically, she is interested in three different types of bison yarn. She randomly selected 21 different days and recorded sales of each brand. 0.10 significance level, can she conclude that there is a difference in preference between brands?

What is the null hypothesis, alternative hyp, level of significance.

Use ANOVA single factor to find the F statistic

The following data represents a random sample of birth weignts (in kgs) of male babies born to mothers on a special vitamin supplement.

3.73
3.02
4.37
4.09
3.73
2.47
4.33
4.13
3.39
4.47
3.68
3.22
4.68
3.43

(a) Do the data follow a normal distribution?  ? Yes No
Report the P-value of the normality test:

(b) Do the data support the claim that the mean birth weight of male babies that have been subjected to the vitamin supplement is at least 3.39 kgs? Use the p-value approach, and regulate the probability of committing Type I error to 5%5% (α=0.05α=0.05).

The p-value is:

Use three decimals.
Does this support the claim  ? Yes No

An automotive parts supplier assesses the usability and quality of the door locks that they provide. The locks are manufactured at three different plants. The production manager wants to determine whether the plant affects the final product. The production manager collects data on locks from each plant, and gives a usability and quality rating. Data are found in the file Car Lock Ratings.

a) State the null and alternate hypothesis we would run to determine if the Usability rating across all three manufacturing plants is the same.

b) Run a one-way ANOVA on these data. Show output.

c) What conclusions can you make based on the p-value of this test?

d) Obtain boxplot, residuals scatter plot, and individual residual Normal probability plots.

e) Have all assumptions been met? Explain using your plots to illustrate your answer.

in Pennsylvania Cash 5 lottery balls are numbered 1 to 43 right balls are selected does not replacement the order in which the balls are selected does not matter the term your probability of winning Pennsylvania Cash 5 with one ticket write your answers in fractions

An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 4,700 450 5,700 550 6,100 600 6,600 700 7,100 750 7,700 Compute b1 and b0 (to 1 decimal). b1 b0 Complete the estimated regression equation (to 1 decimal). = + x What is the variable cost per unit produced (to 1 decimal)? $ Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1. r2 = What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? % The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to the nearest whole number)? $

The table t-value associated with 8 degrees of freedom and used to calculate a 99% confidence interval is _______.

Select one:

a. 3.355

b. 1.860

c. 1.397

d. 2.896

Cameron Sinclair, Information Services Manager with Global Financial Service (GFS), is studying employee use of GFS email for non-business communications. He plans to use a 95% confidence interval estimate of the proportion of email messages that are non-business; he will accept a 0.05 error. Previous studies indicate that approximately 30% of employee email is not business related. Cameron should sample _______ email messages.

Select one:

a. 14

b. 323

c. 457

d. 12

95% conf, n=41 , X bar=$67,600, s=18,484 use chi-square critical values Finding confidence interval for population standard deviation. Assume simple random sample has a normal distribution.

Health-Care Survey. In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1007 adults to learn about their major health-care con-cerns. The survey results showed that 574 of the respondents lack confidence they will be able to afford health insurance in the future.

a. What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.

b. At 90% confidence, what is the margin of error?

c. Develop a 90% confidence interval for the population proportion of adults who lack confidence they will be able to afford health insurance in the future.

d. Develop a 95% confidence interval for this population proportion

Explain Monte Carlo Sampling? Under what circumstances, can it be used? Elaborate on the application and limitations related to this sampling?

Given the follow data for two pooled samples, calculate %95 confidence interval for each

mean, 95% confidence interval for difference of means, and one-tailed p-value for the null hypothesis, “Y

not greater than X”.

a. sample X: n=12, mean = 20.0, std. deviation = 3.1

sample Y: n = 12, mean = 22.0, std. deviation = 3.1

b. Same as part a, except the mean of Y is 23.0

c. Same as part a, except the standard deviation of Y is 4.0

d. Same as part a, except sample size of Y is 20

a dentist wants to find out the average time taken by her hygienist for x rays and clean teeth for patients. she recorded the time to serve 24 randomly selected patients . construct a 99% confidence interval for the average time taken

Mean number of desks produced per week is 42 and population standard deviation is 4.67. the company has introduced new production methods. A random sample of 12 weeks production indicates 44 desks were produced each week. has the introduction of new production methods increased average number of desks produced each week at .05 significance level. Estimate the 95% confidence interval

In an effort to promote a new product, a marketing firm asks participants to rate the effectiveness of ads that varied by length (short, long) and by type of technology (static, dynamic, interactive). Higher ratings indicated greater effectiveness.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Assume experimentwise alpha equal to 0.05.)

The data below shows the sugar content in grams of several brands of​ children's and​ adults' cereals. Create and interpret a​ 95% confidence interval for the difference in the mean sugar​ content, μC−μA. Be sure to check the necessary assumptions and conditions.​ (Note: Do not assume that the variances of the two data sets are​ equal.)

Children's cereal:

40.2, 59.4, 47.3, 43.1, 51.5, 48.4, 54.8, 44.3, 41.6, 42, 45.5, 42.7, 37.8, 59.9, 48, 54.1, 38.9, 55.5, 42.8, 34.9

​Adults' cereal: 23.7, 25.3, 2.5, 8.7, 2.4, 21.4, 16.2, 14.4, 23.1, 7.4, 5.9, 12.8, 16.3, 10.8, 1.3, 16.4, 2.2, 4.5, 2.6, 9.7, 12.2, 4.5, 4, 1.4, 6.9, 0.1, 18.8, 6.9, 19.1, 13

A) The confidence interval is (___,___) round to two decimal places

B) Based on these samples, with 95% confidence, children's cereals average between the lower boundary of ___ and upper boundary of ___ more grams of sugar content than adults cereals. (round to two decimal places).

Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that ten married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)

(a) all of them dislike their mother-in-law

(b) none of them dislike their mother-in-law

(c) at least eight of them dislike their mother-in-law

(d) no more than seven of them dislike their mother-in-law