Question

You study average spending on a week's vacation. You take two independent samples. Sample 1 of 55 people has a mean of $1,523 with a variance of $3,351. Sample 2 of 47 has a mean of $1,576 with a variance of $2,782. Assume population means are at $3,010. Calculate the z-statistic.

Name: you study average spending on a weeks vacation you take two independent samples sample 1 of 55 people has a mean of 1523 with a variance of 3351 sample 2 of 47 has a mean of 1576 with a vari 29744
Uploaded: 2023-06-15T04:43:03-08:00
Duration: 1 min 3 s
Channel: Clarissa Barr
Description: you study average spending on a weeks vacation you take two independent samples sample 1 of 55 people has a mean of 1523 with a variance of 3351 sample 2 of 47 has a mean of 1576 with a vari 29744

          You study average spending on a week's vacation.  You take two independent samples.  Sample 1 of 55 people has a mean of $1,523 with a variance of $3,351.  Sample 2 of 47 has a mean of $1,576 with a variance of $2,782.  Assume population means are at $3,010.  Calculate the z-statistic.

Added by Reginald M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Clarissa Barr

06/15/2023

Step 1

To calculate the standard error (SE) for each sample, we need to find the square root of the variance divided by the sample size. For Sample 1: \[ SE_1 = \sqrt{\frac{3351}{55}} \] For Sample 2: \[ SE_2 = \sqrt{\frac{2782}{47}} \] Show more…

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You study average spending on a week's vacation. You take two independent samples. Sample 1 of 55 people has a mean of $1,523 with a variance of $3,351. Sample 2 of 47 has a mean of $1,576 with a variance of $2,782. Assume population means are at $3,010. Calculate the z-statistic.