Public health experts worry that average anxiety levels have
increased during the COVID-19 pandemic. It is known that, prior to
the pandemic, the average score on the standardized anxiety measure
was μ = 50. To explore whether anxiety has increased, a
random sample of individuals complete the standardized anxiety
measure during the pandemic. The random sample of n = 30
had an average score of M = 55, with SS =
899
(a) Compute the degrees of freedom for the Single-Sample
T-test.
df =
(b) Determine the critical value of t for a one-tailed test at the 0.01 level of significance. (Use 3 decimal places.)
t-critical =
(c) Compute the sample variance: (round up to 3 decimals)
s2 =
(d) Calculate the EstimatedStandard Error: (round up to 3 decimals)
SM =
(e) Calculate the t statistic: (round up to 3 decimals)
t =
(f) Should you reject or retain the null (Ho) for the one-tailed test with α = 0.01? And was there a statistically significant effect?
Retain the null hypothesis, anxiety levels are not significantly higher.
Reject the null hypothesis, anxiety levels are not significantly higher
Reject the null hypothesis, anxiety levels are significantly higher
Retain the null hypothesis, anxiety levels are significantly higher
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