In a recent survey, 2033 people were surveyed as to how many people preferred Tinder and how many people preferred Happn (a local dating website) and how many preferred Tinder in New York and Arizona. It was found that 1690/2033 people in New York liked using Tinder while 343/2033 preferred Happn and in Arizona, 1853/2033 people liked using Tinder while 180/2033 liked using Happn.

Construct and interpret a 95% confidence interval for the difference between the two dating website preferences.

***PLEASE DO NOT SOLVE THIS BY HAND AS I NEED TO COPY AND PASTE IT INTO A DISCUSSION. PLEASE TRY AND USE STAT CRUNCH IF POSSIBLE.***

In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 206 accurate orders and 57 that were not accurate. a. Construct a 95​% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B: 0.198less thanpless than0.299. What do you​ conclude? a. Construct a 95​% confidence interval. Express the percentages in decimal form. nothingless thanpless than nothing ​(Round to three decimal places as​ needed.) b. Choose the correct answer below. A. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant​ A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate. B. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B. C. Since the two confidence intervals​ overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. D. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A.​ Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.

The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year can be approximated by a normal​ distribution, as shown in the figure. ​(a) What is the minimum UGPA that would still place a student in the top 10​% of​ UGPAs? ​(b) Between what two values does the middle 50​% of the UGPAs​ lie? u=3.32, o= 0.16

If STATCRUNCH can be used to solve this could someone explain that as well please and thank you!!

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.2 with a standard deviation of 2.4.

​(a) What response represents the 85th ​percentile?

​(b) What response represents the 60th ​percentile?

​(c) What response represents the first ​quartile?

A random sample size of n=10, population μ=65, σ=19.

Determine P(x<68.9)

Determine P(x ≥66.9​)

As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each cap. Some of the caps said, “Please try again,” while others said, “You’re a winner!” The company advertised the promotion with the slogan “1 in 6 wins a prize.” Suppose the company is telling the truth and that every 20-ounce bottle of soda it fills has a 1-in-6 chance of being a winner. Seven friends each buy one 20-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize. The probability distribution of X is shown here.

a)The store clerk is surprised when 3 of the friends win a prize. Is this group of friends just lucky, or is the company’s 1-in-6 claim inaccurate? Find the probability that at least 3 of a group of 7 friends would win a prize and use the result to justify your answer.

Specification for a medical device calls for a mean lifetime,  of more than 160 days. The manufacturer is investigating whether or not the lifetime of the device meets this specification. A random sample of medical devices is selected and their estimated lifetime using is measured, with these results (in days): 159.7, 161.9, 164.7, 159.2, 161.3, 161.8, 162.9, 161, 158.5, 161.2.
A normal probability plot looks reasonably straight. We will assume that these lifetimes are normally distributed. Consider a significance level α=0.05.  

The critical value is:

Sally plays a game and wins with probability p. Every week, she plays until she wins two games, and then stops for the week. Sally calls it a "lucky week" if she manages to achieve her goal in 7 or less games.

a) If p = 0.2, what's the probability that Sally will have a "lucky week" next week?

b) What's the probability of exactly 3 "lucky weeks" in the next 5 weeks? What's the expected number of "lucky weeks" Sally will have in the next 10 weeks?

c) Let X be the number of games Sally plays in a week, and let q = 1 – p. Find the expectation E[X].

d) If Sally pays $1 to play each game, and gets $5 for each game she wins, what's her expected earning at the end of each week?

A researcher reported the results of a telephone poll of 1000 adult Americans. The question posed of those who were surveyed was: "Should the federal tax on cigarettes be raised to pay for health care reform?" Of 600 non-smokers, 362 said yes. Of 400 smokers, 80 said yes. What is the test statistic, at alpha = .05, if you want to determine that the proportion of non-smokers who said yes is greater than the proportion of smokers who said yes?

Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage. Suppose that 11% of produced items are known to be nonconforming. Every week a batch of items is evaluated and the production machines are adjusted if the proportion of nonconforming items exceeds 15%. [You may find it useful to reference the z table.] a. What is the probability that the production machines will be adjusted if the batch consists of 52 items? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) b. What is the probability that the production machines will be adjusted if the batch consists of 104 items? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.

Do you try to pad an insurance claim to cover your deductible? About 44% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 134 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.)

(a) half or more of the claims have been padded

(b) fewer than 45 of the claims have been padded

(c) from 40 to 64 of the claims have been padded

(d) more than 80 of the claims have not been padded

Any help would be appreciated. Thanks!

Suppose that Body Mass Index (BMI) for a population of 30-60-year-old men follows a Normal distribution with mean 26, and standard deviation 4. Q: Please calculate the range of BMI that 95% of subjects fall within:

Suppose we know that the prevalence of asthma among American children is 11%. Researchers conducted a study among 600 children in Boston and found that 56 had asthma. Q:Suppose researchers originally planed to enroll 1000 children, but they had to reduce the sample size to 600 due to budget deficit. Which of the following decreased compared to the original design? A. The power of the hypothesis test B. The probability of making a Type I error C. The probability of making a Type II error D. The sample mean

The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches and a standard deviation of 0.5 inch. ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.11 ​inches? ​(b) A sample of 44 boards is randomly selected. What is the probability that their mean length is greater than 99.11 ​inches?

2. A team of market researchers conducted a study involving 200 inhabitants of the United States to determine what people fear most. The gender of each person polled was noted, and then each was asked which of the following was his or her greatest fear: speaking before a group, heights, bugs/insects, financial problems, sickness/death, and other. The results of the poll are given in the table. Do the data provide sufficient evidence to indicate a relationship between gender and greatest fear? Test at the a=.05 level.

An elevator has a placard stating that the maximum capacity is 2310 lblong dash15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2310 divided by 15 equals 154 pounds. If the elevator is loaded with 15 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 154 lb.​ (Assume that weights of males are normally distributed with a mean of 161 lb and a standard deviation of 35 lb​.) Does this elevator appear to be​ safe? The probability the elevator is overloaded is?