Question

Consider the following hypotheses H0 : μ-420 HA: 420 The population is normally distributed with a population standard deviation of 72. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with x = 430 and n= 90 (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. what is the conclusion at the 1% significance level? OReject Ho since the p-value is less than the significance level. Reject Ho since the p-value is greater than the significance level. Do not reject Ho since the p-value is less than the significance level. O Do not reject Ho since the pvalue is greater than the significance level.

a-3. Interpret the results at a 0.01. We conclude that the population mean differs from 420 OWe cannot conclude that the population mean differs from 420. we conclude that the sample mean differs from 420. We cannot conclude that the sample mean differs from 420 b-1. Calculate the value of the test statistic with x = 392 and n= 90 (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic b-2, what is the conclusion at the 10% significance level? Reject Ho since the p-value is greater than the significance level. OReject Ho since the p-value is less than the significance level. Do not reject Bo since the p-value is greater than the significance level. O Do not reject Hn since the p-value is less than the significance level.

b-3. Interpret the results at a 0.10 We conclude that the population mean differs from 420. We cannot conclude that the population mean differs from 420. We conclude that the sample mean differs from 420. We cannot conclude that the sample mean differs from 420.

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