We have the following set of hypotheses: Ho: µ = m and H1: µ # m for population mean. Due to a low sample but assuming normal distribution of the random variable under consideration, this set of hypotheses is verified using Student-t statistic. Let's take two significance levels: 5% and 10%. Which of the statements reported below IS NOT TRUE? a) If Ho is rejected at 5% significance level, then it has to be rejected also at 10% significance level b) If Ho is rejected at 10% significance level, then it has to be rejected also at 5% significance level c) If Ho is not rejected at 5% significance level, then it may not be rejected also at 10% significance level d) If H, is not rejected at 10% significance level, then it cannot be rejected at 5% significance level

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We have the following set of hypotheses: Ho:µ = m and H1:µ ± m for population mean. Due to a low sample but
assuming normal distribution of the random variable under consideration, this set of hypotheses is verified using
Student-t statistic. Let's take two significance levels: 5% and 10%. Which of the statements reported below IS NOT
TRUE?
a) If Ho is rejected at 5% significance level, then it has to be rejected also at 10% significance level
b) If Ho is rejected at 10% significance level, then it has to be rejected also at 5% significance level
c) If Ho is not rejected at 5% significance level, then it may not be rejected also at 10% significance level
d) If Ho is not rejected at 10% significance level, then it cannot be rejected at 5% significance level
Transcribed Image Text:We have the following set of hypotheses: Ho:µ = m and H1:µ ± m for population mean. Due to a low sample but assuming normal distribution of the random variable under consideration, this set of hypotheses is verified using Student-t statistic. Let's take two significance levels: 5% and 10%. Which of the statements reported below IS NOT TRUE? a) If Ho is rejected at 5% significance level, then it has to be rejected also at 10% significance level b) If Ho is rejected at 10% significance level, then it has to be rejected also at 5% significance level c) If Ho is not rejected at 5% significance level, then it may not be rejected also at 10% significance level d) If Ho is not rejected at 10% significance level, then it cannot be rejected at 5% significance level
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