(Round all intermediate calculations to at least 4 decimal places.) Consider the
ID: 3330753 • Letter: #
Question
(Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses Ho: = 120 HA: #120 The population is normally distributed with a population standard deviation of 46. Use Table 1 a. Use a 5% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) Critical value(s) b- Calculate the value of the test statistic with x 132 and n 50. (Round 1. your answer to 2 decimal places.) Test statistic b- What is the conclusion at = 0.05? Reject Ho since the value of the test statistic is greater than the critical value Reject Ho since the value of the test statistic is smaller than the critical value Do not reject Ho since the value of the test statistic is greater than the critical value Do not reject Ho since the value of the test statistic is smaller than the critical value C. Use a 10% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) Critical value(s) d- 1. Calculate the value of the test statistic with x = 108 and n = 50, (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic d- What is the conclusion at = 0.10? Reject Ho since the value of the test statistic is not less than the negative critical value Reject Ho since the value of the test statistic is less than the negative critical value Do not reject Ho since the value of the test statistic is not less than the negative critical value Do not reject Ho since the value of the test statistic is less than the negative critical valueExplanation / Answer
Answer to the question is as follows:
a. 5% significance to get critical values = ?
Critical values = +/- 2
b-1. test statistic = Z = (x-mean)/(s/sqrt(n)) = (132-120)/(46/sqrt(50)) = 1.85
b-2. Since 1.85<2, we have last option as right. do not reject Ho since hte value of the test statistic is smaller
than the critical value
c. critical value = +/- 1.645
d-1. Z = = (x-mean)/(s/sqrt(n)) = (108-120)/(46/sqrt(50)) = -1.85
d-2. Since Z test statistic is less than critical value, we reject Ho. Hence, 2nd option is right
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