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State the appropriate nu and alternative hypotheses. 50 Ha: Al 50 Ho: 50 Ha: Au

ID: 3229081 • Letter: S

Question

State the appropriate nu and alternative hypotheses. 50 Ha: Al 50 Ho: 50 Ha: Au 50 O Ho: u 50 Ha: Au 50 Ho: 50 Ha: Au 50 Calculate the test statistic and determine the P-value Round your test statistic to two decimal places and your P-value to four decimal places P-value State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils O Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils. Reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration i more than 50 mils

Explanation / Answer

The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of population
H0 : = 50
HA : > 50
Standard deviation = 4.5

Hypothesis test results:

Hence,

z = 3.73

P - value = 0.0000

Mean n Sample Mean Std. Err. Z-Stat P-value 45 52.5 0.67082039 3.72678 <0.0001
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