7: 1. Find the followingt-values inTable 4 of Appendix Ior using SALT. (Round your answers to three decimal places.)

(a) t_0.05for4df

t_0.05=

(b) t_0.025for7df

t_0.025=

(c) t_0.10for16df

t_0.10=

(d) t_0.025for34df

t_0.025=

5:2. A paired-difference experiment was conducted using n = 10 pairs of observations.

(a) Test the null hypothesis H₀: (_{1 2}) = 0 against H_a: (_{1 2}) 0 for = 0.05, d = 0.3, and s_d² = 0.17.

State the test statistic. (Round your answer to three decimal places.) t =

(b) Find a 95% confidence interval for (_{1 2}). (Round your answers to three decimal places.) ____________ to ___________ (c) How many pairs of observations do you need if you want to estimate (_{1 2}) correct to within 0.1 with probability equal to 0.95? (Round your answer up to the nearest whole number.) ___________ pairs of observations

You may need to use the appropriate appendix table or technology to answer this question.5

1;3. The earth's temperature (which affects seed germination, crop survival in bad weather, and many other aspects of agricultural production) can be measured using either ground-based sensors or infrared-sensing devices mounted in aircraft or space satellites. Ground-based sensoring is tedious, requiring many replications to obtain an accurate estimate of ground temperature. On the other hand, airplane or satellite sensoring of infrared waves appears to introduce a bias in the temperature readings. To determine the bias, readings were obtained at five different locations using both ground- and air-based temperature sensors. The readings (in degrees Celsius) are listed here.

Location	Ground	Air
1	46.7	47.4
2	45.6	48.3
3	36.4	38.1
4	31.2	32.8
5	24.5	26.4

(b) Estimate the difference in mean temperatures between ground- and air-based sensors using a 95% confidence interval. (Round your answers to three decimal places.) C to C (c) How many paired observations are required to estimate the difference between mean temperatures for ground- versus air-based sensors correct to within 0.1C, with probability approximately equal to 0.95? (Round your answer up to the nearest whole number.) observations