Measurements on the percentage of enrichment of 12 fuel rods used in a nuclear reactor were reported in the data below. Assume the population of interest is normally distributed

A. Test the hypotheses H0 : µ = 2.95 vs. H1 : µ > 2.95 at the 0.01 significance level. provide a copy of your R input and output, state your conclusion in context

B. Find and interpret the lower 99% confidence bound on the true mean percentage of enrichment. use the interval from your R output

DATA:

(%)

3.11

2.88

3.08

3.01

2.84

2.86

3.04

3.09

3.08

2.89

3.12

2.98

The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.

Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: The distributions are different.
H₁: The distributions are the same.H₀: The distributions are different.
H₁: The distributions are different.    H₀: The distributions are the same.
H₁: The distributions are different.H₀: The distributions are the same.
H₁: The distributions are the same.

(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)


Are all the expected frequencies greater than 5?

Yes or No    

What sampling distribution will you use?

uniformbinomial    Student's tnormalchi-square

What are the degrees of freedom?


(c) Estimate the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100    0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.    Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.    

Share the null and alternative hypotheses for a decision that is relevant to your life. This can be a personal item or something at work. Define the population parameter, the appropriate test statistic formula, and if it is a one- or two-tailed test. Be sure to set up your hypotheses, too.

The two population parameters that we cover this week are:

μ: the population mean

and

p: the population proportion

Be sure to include numerical values for your variables. Additionally, identify the Type I and Type II Errors that could occur with your decision‐making process.

Can you please show both in RStudio code? Thank You

Airports:

The temperature is recorded at 60 airports in a region. The average temperature is 68 degrees Fahrenheit with a standard deviation of 5 degrees. The last known average temperature from all airports is 67 degrees Fahrenheit.   Is the recorded temperature at the 60 airports different from the average temperature at all airports?

• Answer by determining statistical significance using the test statistic, degrees of freedom, and p-value.
• Answer substantive significance with difference in means and effect size.

New York Attitudes:

The New York Chamber of Commerce has asked you to do a study concerning people's attitudes toward our city. As part of the study, you will ask them to rate their image of New York on a scale from 1 to 100 (1= awful city - call in the bulldozers; 100 = wonderful city - there is none better). Previous data show this scale is normally distributed with a last known population average rating of 50 and a standard deviation of 10.

Consider the following data for a dependent variable y and two independent variables, x₁ and x₂.

The estimated regression equation for these data is

ŷ = −18.52 + 2.01x₁ + 4.75x₂.

Here, SST = 15,234.1, SSR = 14,109.8, s_b1 = 0.2464, and s_b2 = 0.9457.

(a)Test for a significant relationship among x₁, x₂, and y. Use α = 0.05.

State the null and alternative hypotheses.

H₀: β₁ = β₂ = 0
H_a: One or more of the parameters is not equal to zero.H₀: β₁ < β₂
H_a: β₁ ≥ β₂    H₀: β₁ ≠ 0 and β₂ = 0
H_a: β₁ = 0 and β₂ ≠ 0H₀: β₁ > β₂
H_a: β₁ ≤ β₂H₀: β₁ ≠ 0 and β₂ ≠ 0
H_a: One or more of the parameters is equal to zero.

Find the value of the test statistic. (Round your answer to two decimal places.)

=

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that there is a significant relationship among the variables.Reject H₀. There is insufficient evidence to conclude that there is a significant relationship among the variables.    Do not reject H₀. There is insufficient evidence to conclude that there is a significant relationship among the variables.Do not reject H₀. There is sufficient evidence to conclude that there is a significant relationship among the variables.

(b)Is β₁ significant? Use α = 0.05.

State the null and alternative hypotheses.

H₀: β₁ = 0
H_a: β₁ ≠ 0H₀: β₁ < 0
H_a: β₁ ≥ 0    H₀: β₁ = 0
H_a: β₁ > 0H₀: β₁ > 0
H_a: β₁ ≤ 0H₀: β₁ ≠ 0
H_a: β₁ = 0

Find the value of the test statistic. (Round your answer to two decimal places.)

=

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that β₁ is significant.Reject H₀. There is insufficient evidence to conclude that β₁ is significant.    Do not reject H₀. There is insufficient evidence to conclude that β₁ is significant.Do not reject H₀. There is sufficient evidence to conclude that β₁ is significant.

(c)Is β₂ significant? Use α = 0.05.

State the null and alternative hypotheses.

H₀: β₂ ≠ 0
H_a: β₂ = 0H₀: β₂ > 0
H_a: β₂ ≤ 0    H₀: β₂ = 0
H_a: β₂ ≠ 0H₀: β₂ = 0
H_a: β₂ > 0H₀: β₂ < 0
H_a: β₂ ≥ 0

Find the value of the test statistic. (Round your answer to two decimal places.)

=

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that β₂ is significant.

Reject H₀. There is sufficient evidence to conclude that β₂ is significant.    

Do not reject H₀. There is insufficient evidence to conclude that β₂ is significant.

Do not reject H₀. There is sufficient evidence to conclude that β₂ is significant.

A Mission college administrator claims the population mean for student’s commute time is 30 minutes. A sample of 144 Mission College students shows a sample mean commute time = 32 minutes with sample standard deviation s = 12 minutes. Can you show at 99% confidence that the administrator’s claim is wrong? Before doing the problem, you must show that the problem meets the requirements for performing the test. Be sure to show your null and alternate hypothesis, show your test statistic and critical region, and state your conclusion clearly: could the administrator’s claim be true?   YES or   NO

Please show steps in Ti84 calculator, if applicabl

Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 miligrams per deciliter (mg/dl) one hour after having a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μμ = 125 mg/dl and σσ = 15 mg/dl.

(a) If a single glucose measurement is made, what is the probability that Sheila is diagnosed as having gestational diabetes?
(b) If measurements are made on 7 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Sheila is diagnosed as having gestational diabetes?

Andrew plans to retire in 36 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 36 years will exceed 11%?
(b) What is the probability that the mean return will be less than 4%?

(1) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a random sample of 65 professional actors, it was found that 37 were extroverts.

(a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) ____

(b) Find a 95% confidence interval for p. (Round your answers to two decimal places.)

lower limit ____

upper limit ____

(2) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 610 potsherds was found, of which 365 were identified as Santa Fe black-on-white.

(a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.) ____


(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.)

(3) What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.1 in the following scenarios? (Round your answers up the nearest whole number.)

(a) a preliminary estimate for p is 0.34 ____


(b) there is no preliminary estimate for p ____

he mean cost of domestic airfares in the United States rose to an all-time high of $375 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $120. Use Table 1 in Appendix B.

a. What is the probability that a domestic airfare is $555 or more (to 4 decimals)?

b. What is the probability that a domestic airfare is $260 or less (to 4 decimals)?

c. What if the probability that a domestic airfare is between $310 and $500 (to 4 decimals)?

d. What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)
$  or - Select your answer -morelessItem 5

assume that a sample is used to estimate a population proportion P. Find a 98% confidence interval for a sample of size 254 with 85% successes. Enter your answer as an open interval (ie., parentheses) using decimals( not percents)

can someone tell me how this can be done on my TI-84+.

Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 13 males audition, one of them being Karthikey, 7 females audition, one of them being Tiffany, and 5 children audition. The casting director has 4 male roles available, 2 female roles available, and 1 child role available.

(1) How many different ways can these roles be filled from these auditioners?
(2) How many different ways can these roles be filled if exactly one of Karthikey and Tiffany gets a part?
(3) How many different ways can these roles be filled if at least one of Karthikey and Tiffany gets a part?
(4) What is the probability (if the roles are filled at random) of both Karthikey and Tiffany getting a part?

A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05 ounces with a standard deviation of .005 ounces.

If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the observations should occur in what interval? Round answers to four decimal places.

Q4. Describe and give two examples of the queue systems with the following Kendall’s classifications:

(i) G/D/2;
(ii) M/G/1/10/1000.

Suppose a researcher hypothesized that a relationship existed between nurses' leadership behavior and jpb satisfaction. Correlation analysis revealed an r=0.60 that had a p value < 0.001. The researcher may conclude which of the following (Mak all that apply):

A. The greater the leadership behavior of the nurse, the higher the degree of job satisfaction

B. The data analysis demonstrated that the null hypothesis could be rejected

C. A statistically significant relationship exists between nurses' leadership behavior and job satisfation

D. High levels of leadership behavior caused hidgh job satisfaction

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with ?=101 and ?=24. (a) What proportion of children aged 13 to 15 years old have scores on this test above 91 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: (b) Enter the score which marks the lowest 20 percent of the distribution. Answer: (c) Enter the score which marks the highest 15 percent of the distribution. Answer: