Given that, sample size ( n ) = 50
sample mean = 14.09
population standard deviation = 3
The null and alternative hypotheses are,
a) Test statistic is,
b) p-value = 2 * P(Z < -2.14) = 2 * 0.0162 = 0.0324
=> p-value = 0.0324
c) Since, p-value = 0.0324 <
=> Reject H_{0}. There is sufficient evidence to conclude that
d) critical values at are, z^{*} = ± 1.96
Rejection rule is,
test statistic -1.96
test statistic 1.96
Since, test statistic = -2.14 < -1.96
=> Reject H_{0}. There is sufficient evidence to conclude that
-6 points You may need to use the appropriate appendix table or technology to answer this...
-6 points You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. ASWSBE 139E.011. 3. + Ho' μ-15 Ha: μ * 15 A sample of 50 provided a sample mean of 14.09. The population standard deviation is 3 (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value (c) At α-0.05, state your...
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