Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Test whether there are statistical differences in the frontal crash test performance for each type of car.

What conclusions can we draw from the follow-up t-tests?  

There is/are a total of ["1", "2", "3", "4", "5", "6"] statistically significant difference(s) between car type pairs out of the follow-up t-tests.

Use the sample data and confidence level given below to complete parts (a) through (d).

A research institute poll asked respondents if they acted to annoy a bad driver. In the poll,

n equals 2528 comman=2528,

and

x equals 1199x=1199

who said that they honked. Use a

99 %99%

confidence level.

a) Find the best point estimate of the population proportion p.

b) Identify the value of the margin of error E

E=

c) Construct the confidence interval.

_<p<_

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A.

One has

9999 %

confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

B.

9999 %

of sample proportions will fall between the lower bound and the upper bound.

C.

There is a

9999 %

chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D.

One has

9999 %

confidence that the sample proportion is equal to the population proportion.

Discuss the differences in a regression model between making the random error being multiplicative and making the random error being additive regarding how you approach estimation of the model coefficient(s), how you apply linearization for estimating the model coefficient(s), and how you obtain starting values for estimation of the model coefficient(s).

What are the pros and cons of using 98%confidence intervals?

9Do unregulated providers of child care in their homes follow different health and safety practices in different cities? A study looked at people who regularly provided care for someone else's children in poor areas of three cities. The numbers who required medical releases from parents to allow medical care in an emergency were 42 of 73 providers in Newark, New Jersey, 29 of 101 in Camden, New Jersey, and 48 of 107 in South Chicago, Illinois. A)Use the chi-square test to see if there are significant differences among the proportions of child care providers who require medical releases in the three cities. What do you conclude? B)How should the data be produced in order for your test to be valid? (In fact, the samples came in part from asking parents who were subjects in another study who provided their childcare. The author of the study, wisely did not use a statistical test. He wrote: Application of conventional statistical procedures appropriate for random samples may produce biased and misleading results.

Given two independent random samples with the following results: n1=11 x1=141 s1=21 n2=17 x2=116 s2=24 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 2 of 3: Find the standard error of the sampling distribution to be used in construsting the confidence interval. round to the nearest whole number.

Step 3 of 3: construct the 99% confidence interval, round to the nearest whole number. (Lower endpoint, upper end point

A certain medical test is known to detect 38% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

All 10 have the disease, rounded to four decimal places?

At least 8 have the disease, rounded to four decimal places?

At most 4 have the disease, rounded to four decimal places?

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 90 and standard deviation σ = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)

(a) x is more than 60


(b) x is less than 110


(c) x is between 60 and 110


(d) x is greater than 125 (borderline diabetes starts at 125)

Solving these useing R program using pnorm() for Statistics

Please show the code you used and the answer Thank you

The fracture toughness (in ???√?) of a particular steel alloy is known to be normally distributed with a mean of 28.3 and a standard deviation of 0.77. We select one sample of alloy at random and measure its fracture toughness.

▶ What is the probability that the fracture toughness will be between 27.8 and 30.7?

▶ What is the probability that the fracture toughness will be at least 29.5?

▶ Given that the fracture toughness is at least 29, what is the probability that the fracture toughness will be no more than 30.5?

A random sample of n=100 observations produced a mean of x⎯⎯=30 with a standard deviation of s=5.

(a) Find a 99% confidence interval for μ
Lower-bound:  Upper-bound:

(b) Find a 95% confidence interval for μ
Lower-bound:  Upper-bound:

(c) Find a 90% confidence interval for μ
Lower-bound:  Upper-bound:

Suppose you are trying to determine the capacity (in gallons) of the gas tank needed on an airplane you are constructing. You want to be able to travel 3200 nautical miles without stopping, and have gathered data on the amount of fuel similar planes used during flights of comparable length. Show complete calculation and your steps, also interpetation and explanation as asked.

Consider a sample with the following properties: x̅ = 261.5, s = 18.73, n = 26

A) Calculate a confidence interval with α = 0.10

B) Calculate a confidence interval with α = 0.01

C) How would you interpret the results for the confidence interval from part B?

One of the costs of unexpected inflation is an arbitrary redistribution of purchasing power. Find the loser and winner of the following transactions. In other words, describe how the purchasing power is redistributed with these transactions. b. Jennifer took out a fixed-interest-rate loan from Bank H when the CPI was 100. She expected the CPI to increase to 103 but it actually increased to 105. c. Nick bought some shares of stock and, over the next year, the price per share decreased by 7 percent and the price level decreased by 9 percent. c. Nick bought some shares of stock and, over the next year, the price per share decreased by 7 percent and the price level decreased by 9 percent. d. Jackie saves $100 and receives $106 the next year. During the same year, the price of the basket of goods that she purchases increases from $100 to $104.e. Fifteen years ago T’s parents purchased some land with the idea of selling it later to help pay your college expenses. They purchased the land for $100,000. They sold if for $180,000. During the time they held it the price level rose from 80 to 120.f. One year ago Sam purchased bonds for $100,000. He just sold them for $120,000. During the year the price level rose by 5%.g. Mitch makes payments on a car loan. If the price level a year ago was 120 and people expected it to rise to 125 but it actually rose to 128.

The Decadent Desserts cookbook has recipes for desserts. The number of calories per serving for the recipes in the cookbook is normally distributed with a mean of 378 and a standard deviation of 34.5. If 18 recipes are randomly selected to serve at a reception, what is the probability that the average calories per serving for the sample is over 385?

Assume that females have pulse rates that are normally distributed with a mean of mu equals 73.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. Complete parts​ (a) through​ (c) below. a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 79 beats per minute. The probability is ____. ​(Round to four decimal places as​ needed.) b. If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is _____. ​(Round to four decimal places as​ needed.) c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30? A. Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds​ 30, the distribution of sample means is a normal distribution for any sample size. D. Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size.