Conduct a two tailed hypothesis test to test whether the population mean is 330. You will need to provide the following: 1) State your null and alternative hypotheses. 2) Determine the test statistic. Please show your work  3) Determine the p-value. Please show your work  4) Clearly explain whether one should reject or not reject the null hypothesis and why using the critical value, p-value, and confidence interval approaches at a 5% level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following is sample data taken from a distribution where the underlying population is normally distributed and the population standard deviation is unknown.
 
326.71
2371.53
370.58
367.29
264.3
257.77
366.01
238.76
238.81
261.71
326.05
333.41
336.86
256.79
293.37
339.96
376.87
239.06
334.95
281.36
35.52
230.77
272.05
395.59
321.47
318.3
276.62
 
Conduct a two tailed hypothesis test to test whether the population mean is 330. You will need to provide the following:
1) State your null and alternative hypotheses.
2) Determine the test statistic. Please show your work 
3) Determine the p-value. Please show your work 
4) Clearly explain whether one should reject or not reject the null hypothesis and why using the critical value, p-value, and confidence interval approaches at a 5% level of significance.
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