Probability and Statistics

• 75

• 100

• 105

• 115

• 135

• Player A; 16

• Player B; 21

• Player B; 25

• Player C; 23

• Player D; 19

• $2,775

• $6,640

• $6,750

• $6,938

• $7,050

• 90

• 92

• 96

• 98

• Caitlin cannot earn an average of 90.

• 3

• 4

• 5

• 6

• 7

A teacher in Math announced that the mean score of Grade 9 students in the first quarterly assessment in Mathematics was 89 and standard deviation was 6. One student, who believed that the mean score was less than this, randomly selected 30 students and computed the mean score. What kind of test of hypothesis can describe this?

• left-tailed

• two-tailed

• right-tailed

• multiple-tailed

Determine the null and alternative hypothesis. “It was claimed that the average monthly income of aircraft pilot was ₱116, 714.00. A random sample of 45 pilots is selected and it is found out that the average monthly salary is ₱ 120,000. Using a 0.01 level of significance, can it be concluded that there is an increase in the average monthly income of pilot?”

• 𝐻𝑜: μ=₱116,714.00,𝐻𝑎: μ≤₱116,714.00

• 𝐻𝑜: μ=₱116,714.00,𝐻𝑎: μ≠₱116,714.00

• 𝐻𝑜: μ=₱116,714.00,𝐻𝑎: μ>₱116,714.00

• 𝐻𝑜: μ=₱116,714.00,𝐻𝑎: μ<₱116,714.00

Which directional test is illustrated in the given problem below? In a recent survey, the average amount of money students have in their wallet is ₱200.00 with standard deviation of 45. A teacher feels that the average amount is lower. She surveyed 80 randomly selected students and found that the average amount is ₱35.

• left-tailed

• two-tailed

• alternative

• right-tailed

Which is the correct null hypothesis of the given statement? “According to the owner, an average of 500 people buys foods at McDonalds during breakfast and lunch hours.”

• 𝐻𝑜=500

• 𝐻𝑜≠500

• 𝐻𝑜<500

• 𝐻𝑜>500

If the variance is known, what test statistic is appropriate?

• t-test

• z-test

• two-tailed test

• one-tailed test