Question 8 Test statistic: t = 1.61. P-value = 0.9463. Do not reject the null hy

Question

Question 8

Test statistic: t = 1.61. P-value = 0.9463. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is weak or none.

Test statistic: t = 1.61. P-value = 0.9356. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is weak or none.

Test statistic: t = 1.61. P-value = 0.0644. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is moderate.

Test statistic: t = 1.61. P-value = 0.9356. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is very strong.

1 points

Question 9

Find the indicated probability or percentage for the sampling error.

Scores on a chemistry final exam are normally distributed with a mean of 280 and a standard deviation of 50. Determine the percentage of samples of size 4 that will have mean scores within 35 points of the population mean score of 280.

91.92%

99.48%

83.84%

51.60%

Test statistic: t = 1.61. P-value = 0.9463. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is weak or none.

Test statistic: t = 1.61. P-value = 0.9356. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is weak or none.

Test statistic: t = 1.61. P-value = 0.0644. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is moderate.

Test statistic: t = 1.61. P-value = 0.9356. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is very strong.

Explanation / Answer

8)
Test statistic: t = 1.61. P-value = 0.0644. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is less than 80. The evidence against the null hypothesis is moderate.

9)
mean = 280 , s = 50 , n =4

P((280 -35) < x < (280+35))
P(245 <x <315)
= p((245 - 280)/(50/sqrt(4)) < z <(315- 280)/(50/sqrt(4))
= P(-1.4 < z < 1.4)

P(245 <x <315) = P(-1.4 < z < 1.4) = 0.8385 = 83.84% by using z standard normal table

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