Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years (Twenge, 2000). In the 1950s, the average score on the Child Manifest Anxiety Scale was m = 15.1. A sample of n = 16 of today’s children produces a mean score of M = 23.3 with SS = 240. Make a 90% confidence interval estimate of today's population mean level of anxiety.

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Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years (Twenge, 2000). In the 1950s, the average score on the Child Manifest Anxiety Scale was m = 15.1. A sample of n = 16 of today’s children produces a mean score of M = 23.3 with SS = 240.

Make a 90% confidence interval estimate of today's population mean level of anxiety.

• Identify the degree of freedom.
• Sketch the sampling distribution. Shade the part you are interested in. In the sketch, identify what
proportion/percentage is assigned in each tail and włat proportion/percentage is in the middle part.
• Identify the t score from the t table.
• Compute the sample variance.
• Compute the estimate of standard error.
• Give your point estimate.
• Compute the upper bound and the lower bound of the confidence interval.
Failing to show these intermediate steps will result in point reductions.
Also, answer the following question: Did anxiety score increase since 1950's? Explain your answer by using the
confidence interval you just calculated.
Hint: Similar to lecture slides 5-14 and textbook pp.253-255.
Transcribed Image Text:• Identify the degree of freedom. • Sketch the sampling distribution. Shade the part you are interested in. In the sketch, identify what proportion/percentage is assigned in each tail and włat proportion/percentage is in the middle part. • Identify the t score from the t table. • Compute the sample variance. • Compute the estimate of standard error. • Give your point estimate. • Compute the upper bound and the lower bound of the confidence interval. Failing to show these intermediate steps will result in point reductions. Also, answer the following question: Did anxiety score increase since 1950's? Explain your answer by using the confidence interval you just calculated. Hint: Similar to lecture slides 5-14 and textbook pp.253-255.
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