SOLUTION: PLEASE HELP!!!!!!!!!! Consider the following hypotheses: H0: μ = 37 HA: μ ≠ 37 The population is normally distributed. A sample produces the following observations: (

Question 1163097: PLEASE HELP!!!!!!!!!!
Consider the following hypotheses:
H0: μ = 37
HA: μ ≠ 37

The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table)

36 42 37 32 41 37 37

Click here for the Excel Data File

1. Find the mean and the standard deviation. (Round your answers to 2 decimal places.)

2. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

3. Find the p-value.
A. p-value > or equal to 0.10
B. 0.05 < or equal to p-value < 0.10
C. 0.02 < or equal to p-value < 0.05
D. 0.01 < or equal to p-value < 0.02
E. p-value < 0.01

4. At the 1% significance level, what is the conclusion?
A. Reject H0 since the p-value is greater than α.
B. Reject H0 since the p-value is smaller than α.
C. Do not reject H0 since the p-value is greater than α.
D. Do not reject H0 since the p-value is smaller than α.

5. Interpret the results α = 0.01.
A. We conclude that the sample mean differs from 37.
B. We cannot conclude that the population mean differs from 37.
C. We conclude that the population mean differs from 37.
D. We cannot conclude that the sample mean differs from 37.

PLEASE LABEL QUESTIONS 1-5 AND THE CORRESPONDING ANSWERS A-D (WITH QUESTIONS 3-5).
THANK YOU VERY MUCH!!!!!!!!!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
mean is sum/7=37.43
sd is 3.31, the sum of the squared differences between each value and the mean divided by 6. Then take the sqrt of that.
for the calculation want a t-test with t (0.995, df=6). NOTE:
critical value is |t|>3.707
t=(37.43-37)/3.31/sqrt(7). it is the difference in the means divided by the standard error. This concept is found throughout statistics
t=0.43/1.25
=0.344
fail to reject
p-value >0.10 ( it is 0.7436). Do not reject Ho since the p-value is > alpha.
We cannot conclude the population mean differs from 37. On those multiple choice questions about conclusions ignore sample comments. You know what the sample is. You are interested in the population.
RELATED QUESTIONS
Consider H0: μ=72 versus H1: μ>72. A random sample of 16 observations taken... (answered by Boreal)

Consider the following null and alternative hypotheses. H0: μ ≥ 9 Ha: μ (answered by Boreal)

4 A physiological experiment was conducted to study the effect of various factors on... (answered by GingerAle)

In Country A, the population mean height for 3-year old boys is 39 inches. Suppose a... (answered by ewatrrr)

Please assist with decision rule Given the following hypotheses: H0 : μ... (answered by stanbon)

Find the P - value for the test statistic z=−1.41 for the following null and... (answered by Theo)

Consider the following hypotheses: H0: p ≥ 0.47 HA: p < 0.47 Compute the... (answered by Boreal)

You wish to test the following claim (Ha) at a significance level of α=0.01... (answered by Theo)

PLEASE HELP!!!!!!!!!! Consider the following hypotheses: H0: p ≥ 0.47 HA: p <... (answered by Boreal)