Using one mean t test to determine whether or not to support the claim.

The t-test ia another hypothesis test that WORKS THE SAME as the z-test (the hypothesis test I introduced in this course.) The ONLY difference is that the population standard deviation, σ_{X}, is unknown. σ_{X} is estimated by using the standard deviation for the sample, s. Use the "t-test" on the calculator (use "data" not "stat") for the following situation by following the steps for the z-test. The interpretation/ conclusions are EXACTLY THE SAME.

A teacher believes the average IQ of her students is lower than 100. He finds the IQs of 6 students selected randomly: {90, 92, 94, 102, 100, 95}. Is this enough evidence to reject µ_{X} = 100?

a) There is strong evidence to reject H_{0}, a p-value of 0.063 is very small.

b) There is little evidence to reject H_{0}, a p-value of 0.063 is large.

c) There is fairly strong evidence to reject H_{0}, a p-value of 0.032 is fairly small.

d) There is little evidence to reject H_{0}, a p-value of 0.063 is large.

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Hypothesis test : Using one mean t test to determine whether or not to support the claim - hypothesis test that WORKS THE SAME as the z-test |

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