John East Canneries only select the smallest 20% of sardines for their factories. If the length of sardines is normally distributed with a mean ofμ = 30 cms and a standard deviation of σ = 5 cms, what is the maximum length of acceptable sardines to John East? (Round to nearest tenth.)

All the procedures should be done with 5% P-value or 95% confidence interval.Some answers are approximated, choose the most appropriate answer. Open Pollution data. SETUP: Since wind clears the air, some people believe that the cities with wind speed above 10 have less SO2 than the cities with wind speed below 10. Given the data your job is to decide if this is a reasonable expectation. I. What test/procedure did you perform? (6.66 points) a. One sided T-test b. Two sided T-test c. Regression d. Confidence interval II. Statistical interpretation? (6.66 points) a. Since P-value is small we are confident that the slope is not zero. b. Since P-value is small we are confident that the averages are different. c. Since P-value is too large the test is inconclusive. d. None of these. III. Conclusion? (6.66 points) a. Yes, this is a reasonable expectation. b. No, we cannot confirm that this is a reasonable expectation.

hey im having trouble with this

Use Excel to find the Standard Normal Probability for the following questions. Don't forget to sketch the normal distribution and shade the required area.

a) What is the area under the standard normal curve to the left of z = 0.89? (4dp) Answer

b) What is the area under the standard normal curve between z = -0.89 and z = 1.63? (4dp) Answer

c) What is the z-value that gives the right hand tail area equal to 0.0268? (2dp) Answer d) What is the absolute value of z such that the total area under the standard normal curve between –z and +z will be 0.9443? (2dp) Answer

The human resources department of a very large organisation is trying to determine the proportion of all employees that are satisfied with their current position. They randomly select 121 employees and ask them: "Are you satisfied with your current position?" 61 replied yes they were. Construct a 95% confidence interval to estimate the true proportion of all employees at this workplace who were satisfied with their position. A 95% confidence interval for the true proportion of all employees at this workplace who were satisfied with their position is between (round your answers to 2 dp) Answer and Answer.

***SHOW SPSS**

A researcher is interested to learn if there is a linear relationship between the hours in a week spent exercising and a person’s life satisfaction. The researchers collected the following data from a random sample, which included the number of hours spent exercising in a week and a ranking of life satisfaction from 1 to 10 ( 1 being the lowest and 10 the highest).

1. Find the mean hours of exercise per week by the participants.
2. Find the variance and standard deviation of the hours of exercise per week by the participants.
3. Run a bivariate correlation to determine if there is a linear relationship between the hours of exercise per week and the life satisfaction. Report the results of the test statistic using correct APA formatting.
4. Run a linear regression on the data. Report the results, using correct APA formatting. Identify the amount of variation in the life satisfaction ranking that is due to the relationship between the hours of exercise per week and the life satisfaction (Hint: the R² value)
5. Report a model of the linear relationship between the two variables using the regression line formula.

1. 5 A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.

1. Perform a Two-way analysis of variance (ANOVA) and report the results using correct APA style; report whether significance was found for Factor A, Factor B, and/or an interaction between Factors A and B was found.
2. If the test statistic is significant, run a post hoc test to determine between what groups significance was found.
3. Report an effect size for all significant results.

If X1,...Xn are normally distributed random variables. is the sample mean an unbiased estimator for the median? can you explain why or why not?

A luxury hotel believes that 90% of their customers are very satisfied with its service. A random sample of 120 guests were surveyed to determine how satisifed they are with the service and accommodations at the hotel.

a. Describe the random variable for this probability distribution (i.e., what type of variable, what is the probability distribution, what does the variable represent, what are it's possible values, etc.).

b. What is the probability that at least 110 of the people in the sample report being very satisfied with the hotel's service?

c. What is the probability that less than 100 people in the sample report being very satisfied with the service at the hotel?

d. Employees have been promised a bonus if more than 90% of the sample are very satisfed with the hotel's service. What is the probability that the employees will receive the bonus?

e. How many people in the sample can be expected to report that they are very satisfied with the service at the hotel?

f. if the sample shows only 100 of the customers reporting being very satisfied with the service at the hotel, explain using probability why the hotel might want to re-assess the accuracy of the belief that 90% of customers are very satisfied with service at the hotel.

What is the difference between ordinal data and ratio data? What is the variance for problem number 3? #3 Identify the mode and median of the following data. Compute the mean, range and standard deviation as well. 3 place decimals please!! 18, 20, 19, 22, 20 25 Points – Mode, median and range are 3 points each, mean is 6 points, and standard deviation is 10 points

a bank found that the average monthly checking balance of its customers is $10000 with a standard deviation of $4500. a random sample of 12 accounts is selected.

1. what is the probability that the average checking balance will be more than 13000

2. what is the probability that the monthly balance will be less than 4000

3.assume that this bank offers a special credit card to one percent of its customers with the highest checking balance. what is the minimum amount a customer should have to be eligible for that credit card?

1-A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1750 square feet, find the maximum and minimum sizes of the homes the contractor should build. Assume that the standard deviation is 96 square feet and the variable is normally distributed.

2-Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n = 13, p = 0.7, P(Fewer than 4)

3-A student takes a 5 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets exactly 2 questions correct?

4- An investor is considering a $15,000 investment in a start-up company. She estimates that she has probability 0.15 of a $10,000 loss, probability 0.1 of a $10,000 profit, probability 0.3 of a $30,000 profit, and probability 0.45 of breaking even (a profit of $0). What is the expected value of the profit? $11,500 $15,250 $10,000 $8,500

1. A new method of packaging eggs is being tested. The manager is interested in estimating the proportion of eggs that will be broken upon delivery. A shipment of 3000 eggs was examined.

Choose the confidence interval or hypothesis test that will help with the above research.

a. Confidence Interval for a Proportion

b. Confidence Interval for a Population Mean

c. Hypothesis Test for a Population Mean

d. Hypothesis Test for a Population Proportion

2.

Are blondes more likely to have a boyfriend than the rest of the single world? Currently 38% of all single women have a boyfriend. A random sample of 300 blondes was investigated.

Choose the confidence interval or hypothesis test that will help with the above research.

a. Confidence Interval for a Proportion

b. Confidence Interval for a Population Mean

c. Hypothesis Test for a Population Proportion

d. Hypothesis Test for a Population Mean

3.

At UCLA the average student unit load is 4.5 units. 50 LTCC students were asked how many units they are taking next quarter. Is there evidence to suggest that LTCC students take fewer units on average than UCLA students?

Choose the confidence interval or hypothesis test that will help with the above research.

a. Hypothesis Test for a Population Proportion

b. Confidence Interval for a Proportion

c. Hypothesis Test for a Population Mean

d. Confidence Interval for a Population Mean

4. We wish to estimate the average number of minutes students spend on social media in a day. 59 students are asked how many minutes they spent in the last 24 hours on social media.

a. Hypothesis Test for a Population Proportion

b. Confidence Interval for a Proportion

c. Confidence Interval for a Population Mean

d. Hypothesis Test for a Population Mean

Analysis of the tensile strength of 100 samples of a new polymeric material, obtained from each of the two production lines of a company gave the following mean and standard deviation values (in MPa)

a. Use 5 % significant level can it be concluded that there is no difference in the tensile strength of the products obtained from the two production lines?

b. Using 95% confidence interval, estimate the difference in the mean strength of the polymers produced in the two production lines

c. The quality control engineer will only be concerned if there is a difference of more than 5 MPa in the products produced in the two lines. Based on your confidence interval in (b), is the statistical significance obtain in question (a) of practical significance to the Quality Control Engineer? Explain.

How many ways are there to distribute 30 identical apples among 4 kids so that each kid gets at least 1 apple but no kid gets more than 20 apples.

An article in Electronic Packaging and Production (2002, vol. 42) considered the effect of X-ray inspection of integrated circuits. The radiation dose (rads) were studied as a function of current (in milliamps) and exposure (in minutes).The data are in excel file uploaded to Moodle. Name of the file is “Assignment 4 Data”. Use a software (preferable MINITAB) to answer the following questions

Part 2. Now, add current to the model and perform multiple regression analysis. (Include the output in your pdf file.)

a) Write the fitted model.

b) Is the model overall significant? Test at significance level of 5%.

c) Is current a significant variable for the model? Test at α=0.05.

d) Use the model to estimate mean radiation dose when the current is 25 mA and exposure time is 30 seconds.

e) Do you observe an improvement in coefficient of determination? Explain

***Assume that you have data of radiation dose, exposure time and mA for 40 samples. Can you solve the problem above using minitab amd show the steps please?