Suppose a survey revealed that 19% of 494 respondents said they had in the past sold unwanted gifts over the Internet.

(a) Use the information to construct a 90% confidence interval for the population proportion who sold unwanted gifts over the Internet, rounding your margin of error to the nearest hundredth. (Round your answers to two decimal places.)
(_________ , __________ )

(b) Use the information to construct a 98% confidence interval for the population proportion who sold unwanted gifts over the Internet, rounding your margin of error to the nearest hundredth. (Round your answers to two decimal places.)

(_________ , __________ )

3. Tar in cigarettes: Listed below are amounts of tar (mg per cigarette) in sing size cigarettes. 100-mm menthol cigarettes, and 100-mm non menthol cigarettes. The king size cigarettes are nonfiltered, nonmenthol, and nonlight. The 100-mm menthol cigarettes are filtered and nonlight. The 100-mm nonmenthol cigarettes are filtered and nonlight. Use a .05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of tar. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference?

King 20 27 27 20 20 24 20 23 20 22 20 20 20 20 20 10 24 20 21 25 23 20 22 20 20

Menthol 16 13 16 9 14 13 12 14 14 13 13 16 13 13 18 9 19 2 13 14 14 15 16 6 8

One-Hundred 5 16 17 13 13 14 15 15 15 9 13 13 13 15 2 15 15 13 14 15 16 15 7 17 15

Listed below are the weights of a random sample of blue M&Ms (in grams): 0.881 0.863 0.775 0.854 0.810 0.858 0.818 0.768 0.803 0.833 0.742 0.832 0.807 0.841 0.932 (a) Create a vector with these data. Find the mean, standard deviation and number of observations for these data. (b) Draw a histogram and a normal probability plot for these data. Is the assumption of normality valid for these data? (c) Test the claim that the mean weight of all blue M&Ms is greater than 0.82 grams (α = 0.05). Include the null and alternative hypotheses and your conclusion in the context of the data. (e) Create a plot that includes the sampling distribution of your statistic under the null hypothesis, the value of the statistic as a vertical line, and the P-value. R code

( I specifically would like to know how to get z step by step for C and D)

In a study of memory development, researchers selected pictures that could be classified into one of five categories (food, clothes, toys, furniture, animals). The pictures were presented in a random order to 8 3-year-olds and 8 4-year-olds, who were asked to memorize the pictures. The researchers used the order in which the pictures were recalled to obtain a clustering score for each child. A score of 1 meant that the pictures were not clustered by category at all during recall; whereas a score of 10 reflected perfect clustering of objects during recall (for example, all foods recalled first, then all animals, then all toys, etc.).

Using alpha = .05, determine whether or not the children of different age groups differed in terms of clustering in memory.

                                    Clustering Scores

      3 years old                                                    4 years old            

                2                                                                              5

                1                                                                              2

                2                                                                             7

                3                                                                              9

                1                                                                              6

                7                                                                              9

                4                                                                              3

                6                                                                              7

a. Identify the appropriate statistical test.

Independent groups t-test

b. State the null and alternative hypotheses.

c. What is the critical value of the test statistic? What is the decision rule for rejecting the null hypothesis?

CV:         _________________________       Reject H₀ if t _____________________

d. Paste in your SPSS output here. Circle the means, standard error, and observed value of t on the output.

Show your work for t (using formula and plugging in appropriate numbers from output) and eta² here:

t_obs=

eta² =

e. Write out an APA Style conclusion about the research project, using the context of the study in your answer.

Analyze the similarities and differences between parametric and nonparametric tests, and justify when is it appropriate to run a nonparametric test and when it is not, while identifying three parametric tests and nonparametric equivalents in your analysis.

Day 1:       4
Day 2:    11
Day 4:    17
Day 7:    26
Day 10:    42
Day 12:    58
Day 15:    84
Day 18:    99
Day 20:        108
Day 23:    112
Day 25:    118
Day 28:        120
Day 30:        120

Day 1:       4
Day 2:    11
Day 4:    17
Day 7:    26
Day 10:    42
Day 12:    58
Day 15:    84
Day 18:    99
Day 20:        108
Day 23:    112
Day 25:    118
Day 28:        120
Day 30:        120

a) Interpolate the number of deaths after 15 days, and determine the residual at this point, to the nearest hundredth

A sample of 52 Elementary Statistics students includes 13 women. Assuming the sample is 4. random. . . (a) Estimate the percentage of women taking Elementary Statistics with 98% confidence. (b) At 10% significance, test whether less than 40% of the enrollment in all Elementary Statistics classes consists of women. (c) If in fact 46% of the students in Elementary Statistics classes are women, find the power of the above test in detecting this parameter.

A survey of the mean number of cents off that coupons give was conducted by randomly surveying one coupon per page from the coupon sections of a recent San Jose Mercury News. The following data were collected: 20¢; 75¢; 50¢; 65¢; 30¢; 55¢; 40¢; 40¢; 30¢; 55¢; $1.50; 40¢; 65¢; 40¢. Assume the underlying distribution is approximately normal.

(e) Construct a 95% confidence interval for the population mean worth of coupons.  Use a critical value of 2.16 from the t distribution.

What is the lower bound?

(f)  Construct a 95% confidence interval for the population mean worth of coupons .

What is the upper bound? ( Round to 3 decimal places )

A major metropolitan newspaper selected a simple random sample of 544 readers from their list of 100,000 subscribers. They asked whether the paper should increase its coverage of local news, and 33% agreed that they should. What is the upper bound on the 99% confidence interval for the proportion of readers who would like more coverage of local news? Round your answer to 3 decimal places.

(THE PROBABILITIES ABOUT X) : Set up and ind the indicated probability; a diagram is recommended.

4.) The average age of a vehicle registered in the United States is 8 years, or 96 months. Assume the standard deviation is 16 months. If a random sample of 36 vehicles is selected, ind the probability that the mean of their age is between 90 and 100 months.

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.

Of 117 randomly selected adults, 35 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.

Group of answer choices

20.1% < p < 39.8%

22.9% < p < 36.9%

19.0% < p < 40.8%

21.6% < p < 38.2%

(All answers were generated using 1,000 trials and native Excel functionality.)

The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows:

There are many products that on their label, establish a content of the packaging. Select two (2) competing brand of cleaning detergent (for example Palmolive versus Vel or Tres Monjitas versus Zuiza Dairy).

In their label, they establish a weight of the amount of detergent in each container. Choose a sample of 10 containers from the selected companies and weight the 10 samples on a scale.

Collect this information and build a hypothesis test, a confidence interval, and a P – value by comparing the average weight of the two samples.

It determines, through the hypothesis test, if there is any difference in the average weight of the two sample containers. Use an alpha for this 0.05 test.

• What is your conclusion?

An assistant in the district sales office of a national cosmetics firm obtained data on advertising expenditures and sales last year in the district’s 44 territories. Data is consmetics.csv. Use R. I don't want answers in Excel or SAS :)

X1: expenditures for point-of-sale displays in beauty salons and department stores (X$1000).

X2: expenditures for local media advertising.

X3: expenditures for prorated share of national media advertising.

Y: Sales (X$1000).

6. (4) Are there any influential points?

7. Is there a serious multicollinearity problem?

(3) Include an appropriate scatterplot and correlation values between the explanatory variables.

(3) Judge by VIF, do you think there is a problem with multicollinearity? (Hint: VIP or tolerance)

(3) Compare your answers in parts i and ii. Are your conclusions the same or different? Please explain your answer.

Data: