Consider the following hypotheses: H0: = 380 HA: 380 The population is normally

Question

Consider the following hypotheses: H0: = 380 HA: 380

The population is normally distributed with a population standard deviation of 77. Use Table 1.

Use a 10% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) a. Critical value(s) b-1. Calculate the value of the test statistic with = 390 and n = 45, (Round your answer to 2 decimal places.) Test statistic b-2. What is the conclusion at -0.10? 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 5% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) Critical value(s) d-1. = 345 and n 45, (Negative value should be indicated Calculate the value of the test statistic with by a minus sign. Round your answer to 2 decimal places.) Test statistic d-2. What is the conclusion at = 0.05? 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 value

Explanation / Answer

a) for two tailed test ; critical values are +/- 1.64

b) std errror of mean =std deviation/(n)1/2 =11.4785

therefore test static =(X-mean)/std error =(390-380)/11.4785=0.87

b-2) do not reject since the value of test statistic is less then critical value.

c)

critical value =/- 1.96

d-1) test stat=(345-380)/11.4785=-3.05

d-2) reject Ho since the value of test stat is less then the negative critical value

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