A store owner claims the average age of her customers is 29 years. She took a survey of 36 randomly selected customers a

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A Store Owner Claims The Average Age Of Her Customers Is 29 Years She Took A Survey Of 36 Randomly Selected Customers A 1 (90.73 KiB) Viewed 90 times

A store owner claims the average age of her customers is 29 years. She took a survey of 36 randomly selected customers and found the average age to be 33 years with a standard error of 1.768. Carry out a hypothesis test to determine if her claim is valid. (a) Which hypotheses should be tested? Ho: 29 vs. H₂:29 O Ho: p = 29 vs. H₂: p = 29 O Ho: μ = 33 vs. H₂: μ # 33 O Ho: = 29 vs. H₂: μ > 29 (b) Find the test statistic: 2.2624 (c) What is the P-value? (Use 4 decimals.) X (Use 4 decimals.) (d) What should the store owner conclude, for a = 0.05? Do not reject the initial claim of 29 years. There is insufficient evidence the mean customer age different than 29. O Reject the initial claim of 29 years. There is insufficient evidence the mean customer age is different than 29. O Reject the initial claim of 29 years. There is sufficient evidence the mean customer age is different than 29. O Do not reject the initial claim of 29 years. There is sufficient evidence the mean customer age is different than 29. X (e) If mean customer age really is equal to 29 years, but you conclude it is different than 29 years, which type of error did you make, if any? O The p-value is correct; therefore no error was made Ⓒ Type II error O Type I error O Both Type I and Type II error X