A researcher observes the weight of a class of 36 students in high school. The given table shows the data she collected​ (in kg).   

The researcher wants to test whether the mean weight of all high school students in the state

​(μ​)

would be

70

kg or not.

​So, the null and the alternative hypotheses for the test the researcher wants to conduct​ are:

A.The​ researcher's null hypothesis is

H0: μ=70

and the alternative hypothesis is

HA: μ≠70.

Your answer is correct.

B.The​ researcher's null hypothesis is

H0: μ≥70

and the alternative hypothesis is

HA: μ≤70.

C.The​ researcher's null hypothesis is

H0: μ=70

and the alternative hypothesis is

HA: μ≥70.

D.The​ researcher's null hypothesis is

H0: μ≥70

and the alternative hypothesis is

HA: μ≠70.

For a prespecified​ 5% significance​ level, the

p​-value

of the test the researcher wants to conduct is

nothing.

A playground is on the flat roof of a city school, 6.00 m above the street below. The vertical wall of the building is 7.00 m high, forming a 1.00 m high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 53.0° above the horizontal at a point 28.0 m from the base of the building wall. The ball takes 2.10 s to reach a point vertically above the wall.

(a) Find the speed at which the ball was launched.
m/s

(b) Find the vertical distance by which the ball clears the wall.
m

(c) Find the distance from the wall to the point on the roof where the ball lands.
m

A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states. A sample of 10 teachers from the Indiana had a mean salary of $28,900 with a standard deviation of $2300. A sample of 14 teachers from Michigan had a mean salary of $30,300 with a standard deviation of $2100. Determine a 95% confidence interval for the difference between the mean salary in Indiana and Michigan.(Assume population variances are different.)

*Include null and alternate hypothesis, a p-value, and a conclusion PRIVATE about the null hypothesis*

You are at one of your clinical placements with a school nurse. A parent walks into the office and asks to speak to the nurse. The school nurse introduces you to the parent and offers your assistance. The parent says, “My son is John Smith. He is 8 years old and a student in Mr. Albright’s class. The doctor put him on Ritalin. I’m not sure how I feel about this. He has been on it for 10 days now. I have some questions I’d like to ask you.”

1. The parent continues, “John weighs 62 pounds. My friend’s son went on Ritalin and lost weight. Do you think this will happen to John?” How should you respond?
2. John’s parent says, “You know, John doesn’t seem much better to me. He doesn’t want to take the pills, so I give him a treat to persuade him to take them. In the morning I give him the Ritalin with a hot cup of tea with sugar because he likes hot tea. At night, before he goes to bed, I give him the Ritalin with hot chocolate because he likes that, too. He doesn’t sleep; he’s up until 2:00 a.m. Why aren’t the pills making it easier for him to sleep?” How should you respond?
3. The parent states, “I’m just going to stop the pills. I don’t care what the doctor says. I think the pills aren’t good for him.” How should you respond?

At the beginning of the school year, Katherine Malloy decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except an overall cash decrease which should be indicated with a minus sign.

b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

(static, flexible)

c. Malloy can see that her present plan (will, will not provide) sufficient cash. If Malloy did not budget but went ahead with the original plan, she would be $ ? (over/short) at the end of December, with no time left to adjust.

At the beginning of the school year, Craig Kovar decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Use the minus sign to indicate cash outflows, a decrease in cash or cash payments.

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $46,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)

A) Find the 90^th percentile for an individual teacher's salary.

B)Find the 90^th percentile for the average teacher's salary.

You are to test if the average SAT score in the high school students of Ontario is greater than 495. You set the hypotheses as below:

H₀: µ = 495 vs Ha: µ > 495

If the SRS of 500 students were selected and the standard deviation has been known to 100, with alpha = 0.05, answer the followings.

a.  What is the Type I error?

b. What is the Type II error if the true population mean is 510. Explain it.

c. What is the power if the true population mean is 510? Explain it.

Please show your work and thank you SO much in advance! You are helping a struggling stats student SO much!

Salaries for teachers in a particular elementary school district have a mean of $44,000 and a standard deviation of $6,500. We randomly survey 36 teachers from that district.

1. Why can we say the sampling distribution of mean salaries for teachers in this district is approximately normal?
2. Find the probability that the mean salary is less than $43,000.
3. Find the probability that the mean salary is between $45,000 and $47,000.

The GPA of a high school in recent years has a standard deviation of 0.18 and a mean value of 3.36.

What would the lowest GPA be that a student could have and still be in the top 5 percent of their class? Round to two decimal places.

If a student must be in at least the 80th percentile to qualify for a scholarship, what GPA must the scholarship applicants maintain?

Please show all of your work! Thank you!