Consider the following hypotheses: H_0: mu = 1, 800 H_A: mu notequalto 1, 800 Th

Question

Consider the following hypotheses: H_0: mu = 1, 800 H_A: mu notequalto 1, 800 The population is normally distributed with a population standard deviation of 440. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject the null hypothesis at the 10% significance level. Use Table 1. (Negative values should be indicated by a minus sign. Round "test statistic" values to 2 decimal places and "p-value" to 4 decimal places.)

Explanation / Answer

The statistical software outputs for all the four parts are:

One sample Z hypothesis test:
: Mean of population
H0 : = 1800
HA : 1800
Standard deviation = 440

a) Hypothesis test results:

b) Hypothesis test results:

c) Hypothesis test results:

d) Hypothesis test results:

Hence,

The table will be:

Mean n Sample Mean Std. Err. Z-Stat P-value 110 1850 41.952354 1.1918282 0.2333

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