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Reference no: EM132362765

Q:1: Use the calculator provided to solve the following problems.

  • Consider a t distribution with 23 degrees of freedom. Compute P(-1.53<t<1.53). Round your answer to at least three decimal places.
  • Consider a t distribution with 6 degrees of freedom. Find the value of c such that p(t≥c)= 0.01 Round your answer to at least three decimal places.

P(-1.53<t<1.53)=? C=?

Q:2

The mean SAT score in mathematics, μ, is 534. The standard deviation of these scores is 39

A special preparation course claims that its graduates will score higher, on average, than the mean score 534

A random sample of 70 students completed the course, and their mean SAT score in mathematics was 539. At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 39

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:?

The alternative hypothesis:?

The type of test statistic:?

The value of the test statistic:?

(Round to at least three decimal places.)

The critical value at the 0.05

level of significance:?

(Round to at least three decimal places.)

Can we support the preparation course's claim that its graduates score higher in SAT?

Reference no: EM132362765

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Contributed by Hamed Kashani, Saeid Sadri, and Baabak Ashuri, Georgia Institute of Technology

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