A scientist claims that pneumonia causes weight loss in mice. The table shows the weights​ (in grams) of six mice before infection and two days after infection. At α=0.01​, is there enough evidence to support the​scientist's claim? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (e) below.

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 26 27 35 33 37 28 23 270 25 31 34 30 32 27 30 28 28 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H,? O A. Ho: H= 31 O B. Ho: H= 31 OC. Ho: H>31 Ha:H 31 (b) Use technology to find the P-value, P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is greater than the significance level. O B. Fail to reject Ho because the P-value i less than the…

Use the data below taken from a random sample of adults, and the a = 0.01 level of significance, to determine whether or not there is a significant, positive linear correlation between the length of a person's arm and the amount of money they contribute annually to charity. Which would be correct hypotheses for this test? Sample Data: Ho: p= 0; H₁: p=0 Ho p= 0; H₁: p > 0 Ho : μ = 0; H1 :μ > 0 Ho: p = 0; H₁: p<0 Arm length (cm) Charitable Giving ($) 199 368.6 202 348.74 209 358.41 200 356.72 199 350.71 202 213 193 198 207 208 195 .627 What is the Pearson Correlation Coefficient for the sample data (n)? (Round to three decimals) .029 349.7 374.59 345.04 343.88 358.67 349.41 343.95 Give the P-value: (Round to three decimals) X

A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 25 29 30 35 39 28 24 320 28 27 36 35 26 24 28 25 25 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? Ο Α. Hρ: μ2 31 О В. Но: и 31 O D. Ho: µ> 31 O E. Ho: H= 31 Hạ: u# 31 OF. Ho: µ= 31 H3: us31 Hại u< 31

Determine whether the correlation coefficient is statistically significant at the specified level of significance for the given sample size. r=−0.462, α=0.05, n=22

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a= 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 31 26 31 34 41 25 24 290 27 30 33 30 29 28 30 25 23 OD. Ho p 32 Ha p2 32 Ha p< 32 Ha us 32 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…

Assume the population is normally distributed

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24