Directions: For problems 1 to 7, (a) identity the claim and state H_0 and H_a, (

Question

Directions: For problems 1 to 7, (a) identity the claim and state H_0 and H_a, (b) determine the critical value, (c) find the test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. A labor organization estimates that the median hourly wage of podiatrists is at least $55.89. In a random sample of 23 podiatrists, 17 are paid less than $55.89 per hour, 5 are paid more than $55.89 per hour, and 1 is paid $55.89 per hour. At alpha = 0.05, can you reject the labor organization's claim? A pet association claims that the mean annual cost of routine veterinarian visits for dogs and cats are the same. The results for samples of the two types of pets are shown below. At alpha = 0.10, can you reject the pet association's claim? Assume the population variance are not equal. The lengths of time (in years) It took a random sample of 32 former smokers to quit smoking permanently are listed. At alpha = 0.05, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 years? A medical researcher says that less than 25% of US adults are smokers. In a random sample of 200 US adults, 18.5% say that they are smokers. At alpha = 0.05, is there enough evident to reject the researcher's claim? Claim: mu = 15; alpha = 0.01. Sample statistics: x = 13.9, s = 3.23, n = 6. Claim: mu_d > 0; alpha = 0.05. Statistics: d = 0.55, s_d = 0.99, n = 28. Claim: p_1 > p_1; alpha = 0.01. Sample Statistics: x_1 = 6, n_1 = 20 and x_2 = 4, n_2 = 30.

Explanation / Answer

Q.3

Using Minitab

One-Sample T: Lengths of time (years)

Test of = 15 vs 15

Variable                   N    Mean StDev SE Mean       95% CI             T      P-value

Lengths of time (years) 32 14.834 4.288    0.758      (13.289, 16.380)     -0.22     0.828

Here P-value > 0.05 so we do not reject null hypothesis.There is no enough evidence that reject the claim mean time it take to quit smoking permantly in 15 Years.

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