A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.

Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.

Answer:

1.) One sample t test

2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31

3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31

4.) 2.718

5.) 3.36

Step-by-step explanation:

We only have one sample; hence, we use an independent sample t test.

Given the sample data :

X : 35,36,37,33,34,35,33,35,37,36,34,35

Using calculator;

Sample mean, Xbar = 35

Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31

The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;

H1 : μ > 31

The critical value can be obtained from the T-distribution table ;

α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11

Tcritical value = 2.718

Tstatistic : (xbar - μ) ÷ (s/√n)

Tstatistic = (35 - 31) ÷ (4.12/√12)

Tstatistic = 3.36

Tstatistic is more extreme Than the critical value

Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.
y=nekt
Where n is the initial amount deposited,
t is the time in years, and
k is the growth constant.
Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.
What is the value of k?
O A k =
In(.8)
8
O c. k=
In(500)
5000
O B. k=
In(625)
4000
O D. k=
In(1.25)
8

A А
С
D
14
5
B
AD = [?]
Enter the number that belongs in
the green box
Enter

Anyone know the answer to this question?

Mr. Jackson earns $1,500 each week and his wife earns $850 a week. Each week they need to set aside $200 for food, $75 for gas, $625 for the mortgage, and $350 for savings. How much money will they have left each week?

Write down and simplify expression of the perimeter of the shape below.
Simplified Please !

Due today...

Explain how to use the area of a parallelogram to find the area of a triangle

!NO LINKS, NO FILES!

please :)

Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.

please help (no links) or i will report you i just need answers

Round to the nearest angle. Plssss help:)

How many solutions dose x+y=10 x+y=12

Multiplying and simplify radicals!!
If u get it right I’ll give brainliest! (show work please)

$1000 is invested at 2.9% annual interest for 6 months.
a. Simple Interest b. Compound Interest

I need help with this math problem don't know how to do it.

Heme d hey the girl who helped me please hl

A truck has a trailer that has a length of 20 feet, a width of 8 feet, and a height of 12 feet. What is the volume of the trailer? ​

If you change the sigh of a point y-coordinate, how will the location of the
point change?

4/10 divided 1/3 = 6/5. 2/15. 5/6. 11/5

Factor this trinomial.
x2 + x - 2
A. (x-2)(x - 1)
B. (x-2)(x + 1)
C. (x + 2)(x - 1)
D. (x + 2)(x+1)
SA

b/4+ 2= -1
help me with this find b

helppppppppppppppppp

A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.

(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?

(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.

(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?

(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.

(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?

(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?

(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?

(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!

PLS HELP!!!!! Which expression shows the product of two factors?

2 − 6
2 + 6
2( + 6)
(2 + ) + (6 + )

what is the effect on the graph of fx =1/x when it is transformed to g(x)=1/x - 7
a. the graph of f(x) is shifted 7 units to the left
b. the graph of f(x) is shifted 7 units down
c. the graph of f(x) is shifted 7 units up
d. the graph of f(x) is shifted 7 units to the right

PLEASE HELP
​

Pleeeeeeeaaase answer quick. With explanation. Will give 40 points

A bone that originally contained
150 mg of carbon-14 now contains
100 mg of the isotope. If the half-life
of carbon-14 is 5730 years, how old is
the bone?

10. Based on the diagram below, which statement is true?

9. Please help besties

Or user elpink25

A number pattern has the rule divide by 3 the fifth term of the pattern is 2 what is the second term of the pattern.

si miras la luna a traves de un telescopio q tiene un aumento de 40 veces Que tan grande se parecera a traves del telescopio?
​