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Previous Next Question 7 of 8 (1 point) View problem in a pop-up 8 3 Section Exercise 7 (critical value, tabo) Quest A researcher found that a cigarette smoker smokes on average 34 cigarettes a day She feels that this average is too high. She selected a random sample of 11 smokers and found that the mean number of cigarettes they smoked per day was 28. The sample standard deviation was 2.6. At 0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables Chack A Solve Guided Se Show Exa Ask My Ins Link to Ter Part 1 State the hypotheses and identify the claim with the correct hypothesis. not claim This hypothesis test is a one-tailed test Save for L Submit Assi Part 2 out of 5 Find the critical value. Round the answer to three decimal places The critical value is SAMSUNG

Explanation / Answer

As we are given the sample standard deviation, therefore t distribution would be used here for the test. As this is a lower tailed test, we get for n-1 = 10 degrees of freedom from the t distribution tables that:

P( t10 < -2.764 ) = 0.01 which is the level of significance.

Therefore -2.764 is the critical value here.

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