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In: Statistics and Probability

Given the following hypothesis: H0 : μ ≤ 10 H1 : μ > 10 For a...

Given the following hypothesis: H0 : μ ≤ 10 H1 : μ > 10 For a random sample of 10 observations, the sample mean was 11 and the sample standard deviation 4.20. Using the .10 significance level:

(a) State the decision rule. (Round your answer to 3 decimal places.) _____ H0 if t >

(b) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic ____

(c) What is your decision regarding the null hypothesis? ______ H0. The mean ___ greater than 10.

Solutions

Expert Solution

  • Decision rule -The rejection region for this right-tailed test is t >1.383
  • test statistics =0.75
  • Decision- It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population mean μ is greater than 10, at the 0.10 significance level​​​​​​

orchestra answered 1 year ago
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