The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. a stock analyst believes that the stock volume in 2014 is different from the 2011 level. based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. test the hypotheses by constructing a 95% confidence interval. complete parts (a) through (c) below. a. state the hypotheses for the test. b. construct a 95% confidence interval about the sample mean of stocks traded in 2014.c. determine if the researcher

a)Null hypothesis:

Alternative hypothesis:

b) The 95% confidence interval would be given by (27.131;34.669)

c) Since the confidence interval contains the value of interest 35.1 we don't have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

represent the sample mean

s=11.8 represent the sample deviation

n=40 sample size

Confidence =0.95 or 95%

Part a

On this case the correct system of hypothesis would be:

Null hypothesis:

Alternative hypothesis:

Part b

The confidence interval for the mean is given by the following formula:  

  (1)  

In order to calculate the critical value we need to find first the degrees of freedom, given by:  

Since the Confidence is 0.95 or 95%, the value of and , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,39)".And we see that  

Now we have everything in order to replace into formula (1):  

So on this case the 95% confidence interval would be given by (27.131;34.669)

Part c

(c) Determine if the researcher  will reject the null hypothesis.

Since the confidence interval contains the value of interest 35.1 we don't have enough evidence to reject the null hypothesis at 5% of significance.

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )