# The dean of a business school claims that the average starting salary of its graduates is more than 85 (in $000’s). It is known that the population standard deviation is 10 (in$000’s). Sample data on the starting salaries of 64 randomly selected recent graduates yielded a mean of 88(in $000s). What is the critical value for the rejection region if the level of significance is 5%? ## Answers Answer 1 Answer: Answer: Critical value for the rejection region if the level of significance is 5% = 1.645 We conclude that the average starting salary of graduates is more than 85,000$.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85,000$Sample mean, = 88,000$

Sample size, n = 64

Alpha, α = 0.05

Population standard deviation, σ = 10,000

First, we design the null and the alternate hypothesis

85,000\text{ dollars}" alt="H_{0}: \mu = 85,000\text{ dollars}\\H_A: \mu > 85,000\text{ dollars}" align="absmiddle" class="latex-formula">

We use One-tailed(right) z test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,

z_{critical}" alt="z_{stat} > z_{critical}" align="absmiddle" class="latex-formula">

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the average starting salary of graduates is more than 85,000$. ## Related Questions The measure of one of the acute angles in right triangle is 56.what is the measure of the other acute angle ### Answers Answer: 54 degrees Step-by-step explanation: right triangle so a degree has to be 90 90+56=146 180-146=54 What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4? 7ab3 6a4b 42a5b4 77a8b7 6x(10x2 + 8x + 2) 12x(5x2 + 4x + 2) ### Answers Answer: the answer is 77a8b7 Step-by-step explanation: Answer: D Step-by-step explanation: I took the test Joan and Carl both worked 19 hours this week and each sold$2000 worth of meals. Their hourly wages are $10.50 and$9.00, respectively. In addition, Joan's percent of tips was 12% while Carl's was 23%. Who made the most money this week between Joan and Carl?

Carl

Step-by-step explanation:

The money each made is ...

(19 hours)(hourly rate) +($2000)(tip rate) For Joan, this is ... (19 h)($10.50/h) +($2000)(0.12) =$199.50 +240 = $439.50 For Carl, this is ... (19 h)(9.00/h) +($2000)(0.23) = $171.00 +460 =$631.00

Carl's take for the week was $191.50 more than Joan's. _____ You can also compare the difference in wages of 1.50/h × 19 h =$28.50 to the difference in tips of 11% × $2000 =$220. Carl's additional tips more than made up for his lower wages.

Carl

Step-by-step explanation:

Joan and Carl both worked 19 hours this week and each sold $2000 worth of meals. Their hourly wages are$10.50 and $9.00, respectively. In addition, Joan's percent of tips was 12% while Carl's was 23%. Therefore, Carl made the most money this week. If a submarine surfaced after a dive of 20 fathoms, how far was the round trip ### Answers The submarine dove 20 fathoms of water, and one fathom of water is equivalent to 6 feet of water. Thus, the submarine descended 20 * 6 feet = 120 feet The submarine then traveled the same distance to return to the surface. Therefore, covered 120 feet again. The submarine thus traveled 120 + 120 = 240 feet in the round trip Determine the slope of the line that contains the given points T(4,6) a V(8,7) A) -1/2 B) 4 C) 1/4 D) -4 ### Answers Finding the slope using two points: The formula for slope is In this case... ^^^Plug these numbers into the formula for slope... C) ^^^This is your slope Hope this helped! ~Just a girl in love with Shawn Mendes The answer is C. 1/4 What is y? 2(-3y-6)+4(5y-8)=92 I got 9.5 but when I checked it, I couldn't seem to get the right one. ### Answers 2(-3y - 6) + 4(5y - 8) = 92 |use distributive property: a(b - c) = ab - ac -6y - 12 + 20y - 32 = 92 14y - 44 = 92 |add 44 to both sides 14y = 136 |divide both sides by 14 y = 136/14 y = 68/7 y = 9 5/7 There is a 20% probability that a person inoculated with a particular vaccine will get the disease anyway. A county healthy office inoculates 83 people. What is the probability that exactly 10 of them will get the disease at some point in their lives? ### Answers Let be a random variable denoting the number of inoculated people in a population of size that contract this disease. is said to be binomially distributed with probability , or . So the probability that exactly 10 of 83 people get the disease, despite inoculation against it, is Lori buys a$459 certificate of deposit (CD) that earns 5.6% interest that compounds monthly. How much will the CD be worth in 6 years? (Express your answer rounded correctly to the nearest cent!)

According to the question:

Principal,

Rate of interest,

Time,

Compounded Monthly.

According to the formula of Compound Interest, the worth of certificate of deposit in 6 years will be:

i.e.,

i.e.,

i.e.,

i.e.,

i.e.,

What is 3/5 times 20